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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises Counting numbers Matem´ aticas 1 o E.S.O. Alberto Pardo Milan´ es -
Transcript
Page 1: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Counting numbers

Matematicas 1o E.S.O.Alberto Pardo Milanes

-

Page 2: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

1 Numbers

2 Ordinal numbers

3 Basic operations and expressions

4 Powers

5 Order of Operations

6 Exercises

Alberto Pardo Milanes Counting numbers

Page 3: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Alberto Pardo Milanes Counting numbers

Page 4: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 5: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 6: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 7: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 8: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 9: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 10: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 11: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 12: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

Page 13: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Natural numbers

IN is the set of natural numbers, also called counting numbers.IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.Read

• 0 Zero

• 1 One

• 2 Two

• 3 Three

• 4 Four

• 5 Five

• 6 Six

• 7 Seven

• 8 Eight

• 9 Nine

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

• 10 Ten

• 11 Eleven

• 12 Twelve

• 13 Thirteen

• 14 Fourteen

• 15 Fifteen

• 16 Sixteen

• 17 Seventeen

• 18 Eighteen

• 19 Nineteen

• 20 Twenty

• 21 Twenty-one

• 30 Thirty

• 40 Forty

• 50 Fifty

• 60 Sixty

• 70 Seventy

• 80 Eighty

• 90 Ninety

• 100 A/one hundred

• 200 Two hundred

• 300 Three hundred

• 400 Four hundred

• 600 Six hundred

• 800 Eight hundred

• 900 Nine hundred

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

• 10 Ten

• 11 Eleven

• 12 Twelve

• 13 Thirteen

• 14 Fourteen

• 15 Fifteen

• 16 Sixteen

• 17 Seventeen

• 18 Eighteen

• 19 Nineteen

• 20 Twenty

• 21 Twenty-one

• 30 Thirty

• 40 Forty

• 50 Fifty

• 60 Sixty

• 70 Seventy

• 80 Eighty

• 90 Ninety

• 100 A/one hundred

• 200 Two hundred

• 300 Three hundred

• 400 Four hundred

• 600 Six hundred

• 800 Eight hundred

• 900 Nine hundred

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

• 10 Ten

• 11 Eleven

• 12 Twelve

• 13 Thirteen

• 14 Fourteen

• 15 Fifteen

• 16 Sixteen

• 17 Seventeen

• 18 Eighteen

• 19 Nineteen

• 20 Twenty

• 21 Twenty-one

• 30 Thirty

• 40 Forty

• 50 Fifty

• 60 Sixty

• 70 Seventy

• 80 Eighty

• 90 Ninety

• 100 A/one hundred

• 200 Two hundred

• 300 Three hundred

• 400 Four hundred

• 600 Six hundred

• 800 Eight hundred

• 900 Nine hundred

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

• 10 Ten

• 11 Eleven

• 12 Twelve

• 13 Thirteen

• 14 Fourteen

• 15 Fifteen

• 16 Sixteen

• 17 Seventeen

• 18 Eighteen

• 19 Nineteen

• 20 Twenty

• 21 Twenty-one

• 30 Thirty

• 40 Forty

• 50 Fifty

• 60 Sixty

• 70 Seventy

• 80 Eighty

• 90 Ninety

• 100 A/one hundred

• 200 Two hundred

• 300 Three hundred

• 400 Four hundred

• 600 Six hundred

• 800 Eight hundred

• 900 Nine hundred

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

• 10 Ten

• 11 Eleven

• 12 Twelve

• 13 Thirteen

• 14 Fourteen

• 15 Fifteen

• 16 Sixteen

• 17 Seventeen

• 18 Eighteen

• 19 Nineteen

• 20 Twenty

• 21 Twenty-one

• 30 Thirty

• 40 Forty

• 50 Fifty

• 60 Sixty

• 70 Seventy

• 80 Eighty

• 90 Ninety

• 100 A/one hundred

• 200 Two hundred

• 300 Three hundred

• 400 Four hundred

• 600 Six hundred

• 800 Eight hundred

• 900 Nine hundred

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Large numbers

We can use commas to write large numbers. . .

• 1, 000 A/one thousand

• 1, 001 A/one thousand one

• 2, 000 Two thousand

• 10, 000 Ten thousand

• 100, 000 A/one hundred thousand

• 1, 000, 000 A/one million

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Large numbers

We can use commas to write large numbers. . .

• 1, 000 A/one thousand

• 1, 001 A/one thousand one

• 2, 000 Two thousand

• 10, 000 Ten thousand

• 100, 000 A/one hundred thousand

• 1, 000, 000 A/one million

Alberto Pardo Milanes Counting numbers

Page 21: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Numbers

Large numbers

We can use commas to write large numbers. . .

• 1, 000 A/one thousand

• 1, 001 A/one thousand one

• 2, 000 Two thousand

• 10, 000 Ten thousand

• 100, 000 A/one hundred thousand

• 1, 000, 000 A/one million

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

An ordinal number describes the numerical position of an object.• 1st First

• 2nd Second

• 3rd Third

• 4th Fourth

• 5th Fifth

• 6th Sixth

• 7th Seventh

• 8th Eighth

• 9th Ninth

• 10th Tenth

• 11th Eleventh

• 12th Twelfth

• 13th Thirteenth

• 14th Fourteenth

• 15th Fifteenth

• 16th Sixteenth

• 17th Seventeenth

• 18th Eighteenth

• 19th Nineteenth

• 20th Twentieth

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

An ordinal number describes the numerical position of an object.• 1st First

• 2nd Second

• 3rd Third

• 4th Fourth

• 5th Fifth

• 6th Sixth

• 7th Seventh

• 8th Eighth

• 9th Ninth

• 10th Tenth

• 11th Eleventh

• 12th Twelfth

• 13th Thirteenth

• 14th Fourteenth

• 15th Fifteenth

• 16th Sixteenth

• 17th Seventeenth

• 18th Eighteenth

• 19th Nineteenth

• 20th Twentieth

Alberto Pardo Milanes Counting numbers

Page 25: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

An ordinal number describes the numerical position of an object.• 1st First

• 2nd Second

• 3rd Third

• 4th Fourth

• 5th Fifth

• 6th Sixth

• 7th Seventh

• 8th Eighth

• 9th Ninth

• 10th Tenth

• 11th Eleventh

• 12th Twelfth

• 13th Thirteenth

• 14th Fourteenth

• 15th Fifteenth

• 16th Sixteenth

• 17th Seventeenth

• 18th Eighteenth

• 19th Nineteenth

• 20th Twentieth

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

• 21st Twenty-first

• 22nd Twenty-second

• 23rd Twenty-third

• 24th Twenty-fourth

• 25th Twenty-fifth

• 30th Thirtieth

• 31st Thirty-first

• 41st Forty-first

• 52nd Fifty-second

• 63rd Sixty-third

• 70th Seventieth

• 80th Eightieth

• 90th Ninetieth

• 91st Ninety-first

• 100th Hundredth

• 101st Hundred and first

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

• 21st Twenty-first

• 22nd Twenty-second

• 23rd Twenty-third

• 24th Twenty-fourth

• 25th Twenty-fifth

• 30th Thirtieth

• 31st Thirty-first

• 41st Forty-first

• 52nd Fifty-second

• 63rd Sixty-third

• 70th Seventieth

• 80th Eightieth

• 90th Ninetieth

• 91st Ninety-first

• 100th Hundredth

• 101st Hundred and first

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Ordinal numbers

• 21st Twenty-first

• 22nd Twenty-second

• 23rd Twenty-third

• 24th Twenty-fourth

• 25th Twenty-fifth

• 30th Thirtieth

• 31st Thirty-first

• 41st Forty-first

• 52nd Fifty-second

• 63rd Sixty-third

• 70th Seventieth

• 80th Eightieth

• 90th Ninetieth

• 91st Ninety-first

• 100th Hundredth

• 101st Hundred and first

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations andexpressions

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Sum or addition)

6 + 9 = 15

six plus nine is equal to fifteen or six plus nine is fifteen .

(Difference or subtraction)

20− 3 = 17 twenty minus three is seventeen.

(Order)

2 < 8 two is less than eight.12 > 5 Twelve is greater than five.

Alberto Pardo Milanes Counting numbers

Page 31: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Sum or addition)

6 + 9 = 15

six plus nine is equal to fifteen or six plus nine is fifteen .

(Difference or subtraction)

20− 3 = 17 twenty minus three is seventeen.

(Order)

2 < 8 two is less than eight.12 > 5 Twelve is greater than five.

Alberto Pardo Milanes Counting numbers

Page 32: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Sum or addition)

6 + 9 = 15

six plus nine is equal to fifteen or six plus nine is fifteen .

(Difference or subtraction)

20− 3 = 17 twenty minus three is seventeen.

(Order)

2 < 8 two is less than eight.12 > 5 Twelve is greater than five.

Alberto Pardo Milanes Counting numbers

Page 33: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Multiplication)

5 · 6 = 30

Five times six equals thirty or five multiplied by six is thirty.

(Division)

40 : 5 = 8 forty divided by five is equal to eight.Sometimes a division is not exact, so you must write also theremainder.Forty-two divided by five is eight and two left because42 = 5 · 8 + 2.

(Bracket and square bracket)

To make groups we can use brackets ( ) and square brackets [ ].

Alberto Pardo Milanes Counting numbers

Page 34: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Multiplication)

5 · 6 = 30

Five times six equals thirty or five multiplied by six is thirty.

(Division)

40 : 5 = 8 forty divided by five is equal to eight.Sometimes a division is not exact, so you must write also theremainder.Forty-two divided by five is eight and two left because42 = 5 · 8 + 2.

(Bracket and square bracket)

To make groups we can use brackets ( ) and square brackets [ ].

Alberto Pardo Milanes Counting numbers

Page 35: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Basic operations and expressions

(Multiplication)

5 · 6 = 30

Five times six equals thirty or five multiplied by six is thirty.

(Division)

40 : 5 = 8 forty divided by five is equal to eight.Sometimes a division is not exact, so you must write also theremainder.Forty-two divided by five is eight and two left because42 = 5 · 8 + 2.

(Bracket and square bracket)

To make groups we can use brackets ( ) and square brackets [ ].

Alberto Pardo Milanes Counting numbers

Page 36: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Powers

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Powers

Powers of numbers are made by repeated multiplication: a numbermultiplied by itself several times.A power is made of two parts: the base is the number beingmultiplied, the index is the number of times you multiply.Example: 34 = 3 · 3 · 3 · 3 = 81, 3 is the base, 4 is the index or theexponent.Read 34 = 81 three to the fourth power is eighty-one or three tothe power four is eighty-one.When you square a number, you multiply it by itself.Example: Read 52 = 25 five squared is twenty-five or the square offive is twenty-five.When you cube a number, you multiply it by itself three times.Example: Read 53 = 125 five cubed is a hundred and twenty-five orthe cube of five is a hundred and twenty-five.

Alberto Pardo Milanes Counting numbers

Page 38: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Powers

Powers of numbers are made by repeated multiplication: a numbermultiplied by itself several times.A power is made of two parts: the base is the number beingmultiplied, the index is the number of times you multiply.Example: 34 = 3 · 3 · 3 · 3 = 81, 3 is the base, 4 is the index or theexponent.Read 34 = 81 three to the fourth power is eighty-one or three tothe power four is eighty-one.When you square a number, you multiply it by itself.Example: Read 52 = 25 five squared is twenty-five or the square offive is twenty-five.When you cube a number, you multiply it by itself three times.Example: Read 53 = 125 five cubed is a hundred and twenty-five orthe cube of five is a hundred and twenty-five.

Alberto Pardo Milanes Counting numbers

Page 39: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

Alberto Pardo Milanes Counting numbers

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Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

• Simplify the expressions inside grouping symbols, likebrackets, square brackets, ....7 + (3 + 2)2 −

√16 · 3 : 2

• Find the value of all powers and roots.7 + 52 −

√16 · 3 : 2

• Multiply and divide in order from left to right.7 + 25− 4 · 3 : 2

• Add and subtract in order from left to right.7 + 25− 6

26

Alberto Pardo Milanes Counting numbers

Page 41: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

• Simplify the expressions inside grouping symbols, likebrackets, square brackets, ....7 + (3 + 2)2 −

√16 · 3 : 2

• Find the value of all powers and roots.7 + 52 −

√16 · 3 : 2

• Multiply and divide in order from left to right.7 + 25− 4 · 3 : 2

• Add and subtract in order from left to right.7 + 25− 6

26

Alberto Pardo Milanes Counting numbers

Page 42: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

• Simplify the expressions inside grouping symbols, likebrackets, square brackets, ....7 + (3 + 2)2 −

√16 · 3 : 2

• Find the value of all powers and roots.7 + 52 −

√16 · 3 : 2

• Multiply and divide in order from left to right.7 + 25− 4 · 3 : 2

• Add and subtract in order from left to right.7 + 25− 6

26

Alberto Pardo Milanes Counting numbers

Page 43: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

• Simplify the expressions inside grouping symbols, likebrackets, square brackets, ....7 + (3 + 2)2 −

√16 · 3 : 2

• Find the value of all powers and roots.7 + 52 −

√16 · 3 : 2

• Multiply and divide in order from left to right.7 + 25− 4 · 3 : 2

• Add and subtract in order from left to right.7 + 25− 6

26

Alberto Pardo Milanes Counting numbers

Page 44: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Order of Operations

• Simplify the expressions inside grouping symbols, likebrackets, square brackets, ....7 + (3 + 2)2 −

√16 · 3 : 2

• Find the value of all powers and roots.7 + 52 −

√16 · 3 : 2

• Multiply and divide in order from left to right.7 + 25− 4 · 3 : 2

• Add and subtract in order from left to right.7 + 25− 6

26

Alberto Pardo Milanes Counting numbers

Page 45: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Alberto Pardo Milanes Counting numbers

Page 46: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight:One hundred and two:Two hundred and seventy-three:Three thousand, nine hundred and eleven:One hundred and two thousand, eight hundred and ten:Two million, twenty thousand, five hundred and four:

Alberto Pardo Milanes Counting numbers

Page 47: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 48: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 49: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 50: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 51: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 52: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 1

Write the correct number:Forty-eight: 48One hundred and two: 102Two hundred and seventy-three: 273Three thousand, nine hundred and eleven: 3, 911One hundred and two thousand, eight hundred and ten: 102, 810Two million, twenty thousand, five hundred and four:2, 020, 504

Alberto Pardo Milanes Counting numbers

Page 53: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?632455041,6173,02410,981123,4503,413,012

Alberto Pardo Milanes Counting numbers

Page 54: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 55: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 56: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 57: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 58: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 59: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 60: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 61: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 2

How can we read these numbers?63 sixty-three245 two hundred and forty-five504 five hundred and four1,617 One thousand, six hundred and seventeen3,024 Three thousand and twenty-four10,981 Ten thousand, nine hundred and eighty-one123,450 One hundred and twenty-three thousand, fourhundred and fifty3,413,012 Three million, four hundred and thirteen thousandand twelve

Alberto Pardo Milanes Counting numbers

Page 62: Unit1

Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises

Exercises

Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 =13 + 5 · 10 =18 : 3 + 28 : 7 =9 · 8− 54 : 6 =20 · 9− 11 · 7 + 81 : 9 =

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Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 = 22, twenty-two13 + 5 · 10 =63, sixty-three18 : 3 + 28 : 7 =10, ten9 · 8− 54 : 6 =63, sixty-three20 · 9− 11 · 7 + 81 : 9 =112, one hundred and twelve

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Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 = 22, twenty-two13 + 5 · 10 =63, sixty-three18 : 3 + 28 : 7 =10, ten9 · 8− 54 : 6 =63, sixty-three20 · 9− 11 · 7 + 81 : 9 =112, one hundred and twelve

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Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 = 22, twenty-two13 + 5 · 10 =63, sixty-three18 : 3 + 28 : 7 =10, ten9 · 8− 54 : 6 =63, sixty-three20 · 9− 11 · 7 + 81 : 9 =112, one hundred and twelve

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Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 = 22, twenty-two13 + 5 · 10 =63, sixty-three18 : 3 + 28 : 7 =10, ten9 · 8− 54 : 6 =63, sixty-three20 · 9− 11 · 7 + 81 : 9 =112, one hundred and twelve

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Exercise 3

Evaluate these arithmetic expressions and write down how we readthe answer:3 · 4 + 5 · 2 = 22, twenty-two13 + 5 · 10 =63, sixty-three18 : 3 + 28 : 7 =10, ten9 · 8− 54 : 6 =63, sixty-three20 · 9− 11 · 7 + 81 : 9 =112, one hundred and twelve

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Exercise 4

Put these numbers in order from least to greatest:53025, 45422, 33452, 25242, 33542, 25232.

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Exercise 4

Put these numbers in order from least to greatest:53025, 45422, 33452, 25242, 33542, 25232.

25232 < 25242 < 33452 < 33542 < 45422 < 53025

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 34 + 23:

54 + 23 49 + 25 :

12 + 7 7 + 13 :

(34 + 40) + 3 16 + 60 :

13 + 12 22 + 4 :

52 + 17 28 + 45 :

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercises

Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercise 5

Do the sums and fill in the blank the right symbol (greater than orless than):12 + 54 > 34 + 23: 12 + 54 = 66, 34 + 23 = 57,66 > 5754 + 23 > 49 + 25 :54 + 23 = 77, 49 + 25 = 74,77 > 7412 + 7 < 7 + 13 :12 + 7 = 19, 7 + 13 = 20,19 < 20(34 + 40) + 3 > 16 + 60 :(34 + 40) + 3 = 77, 16 + 60 = 76,77 > 7613 + 12 < 22 + 4 :13 + 12 = 25, 22 + 4 = 26,25 < 2652 + 17 < 28 + 45 :52 + 17 = 69, 28 + 45 = 73,69 < 73

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Exercise 6

How can we read the following expressions?24 < 35:103 > 99:32 + 20 = 52:104− 31 = 73:123 · 100 = 12300:4234 : 2 = 2117:

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Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercises

Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercises

Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercises

Exercise 6

How can we read the following expressions?24 < 35:twenty-four is less than thirty-five103 > 99: one hundred and three is greater than ninety-nine32 + 20 = 52: thirty-two plus twenty is equal to fifty-two104− 31 = 73: one hundred and four minus thirty-one isseventy-three123 · 100 = 12300: one hundred and twenty-three times onehundred is equal to twelve thousand, three hundred4234 : 2 = 2117: four thousand, two hundred and thirty-fourdivided by two is equal to two thousand, one hundred andseventeen

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Exercise 7

Write how we read the following years:197720011492

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Exercise 7

Write how we read the following years:1977 nineteen seventy-seven2001 two thousand and one1492 fourteen ninety-two

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Exercise 7

Write how we read the following years:1977 nineteen seventy-seven2001 two thousand and one1492 fourteen ninety-two

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Exercise 7

Write how we read the following years:1977 nineteen seventy-seven2001 two thousand and one1492 fourteen ninety-two

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Exercise 8

An athlete runs 1200m every day during a week. How many kmdoes he run?

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Exercise 8

An athlete runs 1200m every day during a week. How many kmdoes he run?

Data:He runs 1200 ma day.He runs for aweek.

1200 · 7 = 84008400 m = 8, 4 km Answer: He

runs 8,4 km

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Exercise 8

An athlete runs 1200m every day during a week. How many kmdoes he run?

Data:He runs 1200 ma day.He runs for aweek.

1200 · 7 = 84008400 m = 8, 4 km Answer: He

runs 8,4 km

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Exercise 8

An athlete runs 1200m every day during a week. How many kmdoes he run?

Data:He runs 1200 ma day.He runs for aweek.

1200 · 7 = 84008400 m = 8, 4 km Answer: He

runs 8,4 km

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Exercise 9

Ana has got e13; she wants to buy a toy, but she needs 21 eurosmore. How much does the toy cost?

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Exercise 9

Ana has got e13; she wants to buy a toy, but she needs 21 eurosmore. How much does the toy cost?

Data:She has gote13.She needs e21more.

13 + 21 = 34 Answer: Thetoy costs e34

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Exercise 9

Ana has got e13; she wants to buy a toy, but she needs 21 eurosmore. How much does the toy cost?

Data:She has gote13.She needs e21more.

13 + 21 = 34 Answer: Thetoy costs e34

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Exercise 9

Ana has got e13; she wants to buy a toy, but she needs 21 eurosmore. How much does the toy cost?

Data:She has gote13.She needs e21more.

13 + 21 = 34 Answer: Thetoy costs e34

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Exercise 10

Jaime has to read a book with 98 pages in a week. How manypages must he read each day?

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Exercise 10

Jaime has to read a book with 98 pages in a week. How manypages must he read each day?

Data:He has to read 98pages.He reads for aweek.

98 : 7 = 14

Answer: Jaimereads 14 pages aday

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Exercise 10

Jaime has to read a book with 98 pages in a week. How manypages must he read each day?

Data:He has to read 98pages.He reads for aweek.

98 : 7 = 14

Answer: Jaimereads 14 pages aday

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Exercises

Exercise 10

Jaime has to read a book with 98 pages in a week. How manypages must he read each day?

Data:He has to read 98pages.He reads for aweek.

98 : 7 = 14

Answer: Jaimereads 14 pages aday

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Exercise 11

Luis gets e6 every week and he spends 4 euros. How many weeksdoes he need to save 18 euros to buy a book?

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Exercise 11

Luis gets e6 every week and he spends 4 euros. How many weeksdoes he need to save 18 euros to buy a book?

Data:He gets e6 aweek.He spends e4 aweek.He needs to savee18.

6 − 4 = 218 : 2 = 9

Answer: Luisneeds 9weeks

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Exercise 11

Luis gets e6 every week and he spends 4 euros. How many weeksdoes he need to save 18 euros to buy a book?

Data:He gets e6 aweek.He spends e4 aweek.He needs to savee18.

6 − 4 = 218 : 2 = 9

Answer: Luisneeds 9weeks

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Exercise 11

Luis gets e6 every week and he spends 4 euros. How many weeksdoes he need to save 18 euros to buy a book?

Data:He gets e6 aweek.He spends e4 aweek.He needs to savee18.

6 − 4 = 218 : 2 = 9

Answer: Luisneeds 9weeks

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Exercise 12

A grandfather has e743 and three grandsons. He wants to give thesame amount of money to each boy. How much does each boyget? Is there any money left?

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Exercise 12

A grandfather has e743 and three grandsons. He wants to give thesame amount of money to each boy. How much does each boyget? Is there any money left?

Data:He has e743.He has 3grandsons.

Divide743 = 247 · 3 + 2

Answer:Each boygets e247and e2 left

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Exercise 12

A grandfather has e743 and three grandsons. He wants to give thesame amount of money to each boy. How much does each boyget? Is there any money left?

Data:He has e743.He has 3grandsons.

Divide743 = 247 · 3 + 2

Answer:Each boygets e247and e2 left

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Exercise 12

A grandfather has e743 and three grandsons. He wants to give thesame amount of money to each boy. How much does each boyget? Is there any money left?

Data:He has e743.He has 3grandsons.

Divide743 = 247 · 3 + 2

Answer:Each boygets e247and e2 left

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Exercise 13

Alfred has 55 Australian square coins. He wants to stick coins toget a big square. How many coins can he use to do it? How manycoins left?

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Exercise 13

Alfred has 55 Australian square coins. He wants to stick coins toget a big square. How many coins can he use to do it? How manycoins left?

Data: He has 55 coins.

72 = 49, 82 = 6455 − 49 = 6

Answer: He can do a bigsquare with 49 coins and 6coins left

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Exercise 13

Alfred has 55 Australian square coins. He wants to stick coins toget a big square. How many coins can he use to do it? How manycoins left?

Data: He has 55 coins.

72 = 49, 82 = 6455 − 49 = 6

Answer: He can do a bigsquare with 49 coins and 6coins left

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Exercises

Exercise 13

Alfred has 55 Australian square coins. He wants to stick coins toget a big square. How many coins can he use to do it? How manycoins left?

Data: He has 55 coins.

72 = 49, 82 = 6455 − 49 = 6

Answer: He can do a bigsquare with 49 coins and 6coins left

Alberto Pardo Milanes Counting numbers


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