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MY IN
TERACTI
VE
MATH N
OTEBOOK
BY
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Welcome to Unit One – Place Value with addition and subtraction
Less than < Greater than>
< >
Vocabulary
• Greater than (>) – a symbol used to show numbers greater than another
• Less than (<) – a symbol used to show numbers less than another
• Equals (=) a symbol used to show numbers having the same value
HOW TO COMPARE USING >, < AND =
Example 1: Compare 76 and 67
Write: Say:
67 < 76 67 is less than 76
76 > 67 76 is greater than 67
Remember, the mouth of the symbol (> or <) always opens to the greater number.
How to compare numbers
Line up thenumbers
Compare athighest
place value
If numbersare the same
go to next digitto the right
12,391 8,97113,762
12,391 8,97113,762
12,391 8,97113,762
1 2 3
Algorithm A set of steps used to solve a mathematics
computation.
Digits The symbols we use
to represent numbers (0,1,2,3,3,4,5,6,7,8,
and 9).
Expanded Form A way to write a
number by showing the value of each individual digit
forming the number.
Place The position of a
digit in a number.
Place Value The magnitude
assigned to particular position in a numeral,
such as units, tens, hundreds, etc. in the
decimal system.
Standard Form A way to write
a number using digits.
RoundingFinding an approximate number that has fewer non-zero digits, so
that it will be easier for further estimation calculations. Usually,
numbers are rounded to the nearest ones, tens, hundreds,
etc.
The Rounding Rap
Find the place value and underline the digit,
Move to the right and circle it, get it?
Zero through four – stays the same,
Five through nine – Add one is the game.
Now flex your muscles like a hero.
Digits to the right change to zero.
All other digits stay the same.
Yo!! You’re a winner in the rounding game!
Remember in rounding the high 5 is KEY!
Rounding to the nearest 10
26 rounded to the nearest 10
Think it through:
26 is between 20 and 30 on a number line
25 is halfway
I must round to the higher number 30
Rounding to the nearest 100
347 rounded to the nearest 100
Think it through:
347 is between which two hundreds 300 and 400
350 would be halfway
347 is less than halfway round down to 300
Rounding to any place
Ex. 67,589 rounded to the nearest thousand
Think it through with steps…
Find the place value to round to
That is the 7 underline it
Now go to the right if the number is 5 or higher and one to the underlined place change everything else to zero 68,000.
CHECK – by saying 67, 589 is between 67,000 and 68,000
If the number to the right is 4 or lower keep the underlined number the same and change the other numbers to the right to zeros.
Ex. 67,389 rounded to the nearest thousand
3 is four or less so keep the 7 and change the rest of the numbers to the right to zeros. 67,000.
CHECK – by saying 67, 389 is between 67,000 and 68,000
Addition Words:• Sum *Total *Plus • Altogether *and• Increased by• Together *combined
Subtraction Wordsdifference left over
less thanExceed minus are nottake away remainfewer how many more