1 CCSLC CXC Sense MODULE 1: Numbers and Number Unit 1 Place Value and Decimals 1.1 Place Value The objectives of this section are to • revise how to write and speak whole numbers • recognise the importance of place value • round numbers to the nearest 10, 100, 1000, etc. First note how we write and speak numbers. We'll look at the number 572 641 839. of Thousands Hundreds 6 Tens 4 Units 1 6 7 4444 8 4444 of Millions Hundreds 5 Tens 7 Units 2 6 7 4444 8 4444 Hundreds 8 Tens 3 Units 9 We say "Five hundred and seventy two million, six hundred and forty one thousand, eight hundred and thirty nine." Now we consider rounding numbers. 7451 is 7450 to the nearest 10, since it is nearer to 7450 than to 7460 (see the number line below). 7450 7451 7455 7460 7451 is 7500 to the nearest 100, since it is nearer to 7500 than to 7400. 7451 is 7000 to the nearest 1000, since it is nearer to 7000 than to 8000. Note The convention is that '5' rounds up to the nearest 10, e.g. 35 to the nearest 10 is 40.
Transcript
Module 1: Numbers and Number Sense
1CCSLC CXC
SenseMODULE 1: Numbers and Number
Unit 1 Place Value and Decimals
1.1 Place ValueThe objectives of this section are to
• revise how to write and speak whole numbers
• recognise the importance of place value
• round numbers to the nearest 10, 100, 1000, etc.
First note how we write and speak numbers. We'll look at the number 572 641 839.
of ThousandsHundreds
6
Tens
4
Units
1
6 74444 84444
of MillionsHundreds
5
Tens
7
Units
2
6 74444 84444Hundreds
8
Tens
3
Units
9
We say
"Five hundred and seventy two million, six hundred and forty one thousand,eight hundred and thirty nine."
Now we consider rounding numbers.
7451 is 7450 to the nearest 10, since it is nearer to 7450 than to 7460(see the number line below).
74507451
7455 7460
7451 is 7500 to the nearest 100, since it is nearer to 7500 than to 7400.
7451 is 7000 to the nearest 1000, since it is nearer to 7000 than to 8000.
NoteThe convention is that '5' rounds up to the nearest 10, e.g. 35 to the nearest 10 is 40.
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Example 1Write these numbers in words.
(a) 147 (b) 87 (c) 43 219
Solution(a) One hundred and forty seven
(b) Eighty seven
(c) Forty three thousand, two hundred and nineteen
Example 2Write each of the following in figures.
(a) Fifty nine
(b) Three hundred and eight
(c) Three hundred and eighty
(d) Two hundred and thirty three thousand, four hundred and one
Solution(a) 59 (b) 308 (c) 380 (d) 233 401
Example 3Write 2716 to the nearest
(a) 10 (b) 100 (c) 1000
Solution(a) 2720 (b) 2700 (c) 3000
Example 4What is the value of the '6' in each of these numbers?
(a) 167 (b) 2006 (c) 6423
Solution(a) '6' means 6 tens = 60
(b) '6' means 6 units = 6
(c) '6' means 6 thousands = 6000
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Exercises
1. Write these numbers in words.
(a) 32 (b) 14 (c) 86
(d) 124 (e) 328 (f) 1463
(g) 3000000 (h) 4713000 (i) 3991001
2. Write each of the following in figures.
(a) Twenty four
(b) Eighty six
(c) Nineteen
(d) One hundred and twenty
(e) Three hundred and four
(f) One thousand and twenty six
(g) Three million, four hundred thousand
(h) One thousand and five
3. Write each of these numbers to the nearest 10.
(a) 89 (b) 45 (c) 72
(d) 12 (e) 9 (f) 2
(g) 4713 (h) 5629 (i) 4755
4. Write each of these numbers to the nearest 100.
(a) 376 (b) 1417 (c) 24699
(d) 101 (e) 149 (f) 251
5. Write each of these numbers to the nearest 1000.
(a) 1001 (b) 2500 (c) 3999
(d) 132 400 (e) 56471 (f) 555511
6. A truck driver delivered 109865 crates of cola in one year.Write the number of crates to:
(a) the nearest 100 (b) the nearest 1000
(c) the nearest 10 (d) the nearest 10000
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7. A school has 1256 students. Write this number to:
(a) the nearest 10
(b) the nearest 100
(c) the nearest 1000
8. Explain what the '9' represents in each of these numbers.
(a) 19 (b) 91
(c) 190 (d) 1971
(e) 19 800 (f) 2190
(g) 9 100 001 (h) 9 001 111
(i) 900 371 423
9. Place the numbers below in order, with the smallest first.
(a) 147, 222, 316, 47, 32, 1004
(b) 1472, 3416, 621, 3813, 1471, 15 721
(c) 6000, 60 000, 3000, 30 000, 4 000 000
10. (a) What is the largest possible number you can make using each of thesedigits once only: 4, 6, 3, 2 and 8 ?
(b) What is the smallest number you can make using all the digits in (a)?
(c) What do you notice about the order of the digits in your answers to(a) and (b)?
(d) How do your answers change if you can use 0 as well?
11. Rashan says that there are 120 students in his grade at school. If he hasrounded the number of students in his grade to the nearest 10, how manystudents could there be in his grade? (Write all the possible answers.)
12. A newspaper report states that 32000 people watched a football match atthe National Stadium in Kingston. The actual number has been rounded tothe nearest 1000.
(a) What is the largest possible number of people that watched thematch?
(b) What is the smallest possible number of people that watched thematch?
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13. The table gives the results and attendances for some football matches in theEnglish Premier League. Answer these questions using the table.
(a) Which match had thelargest attendance?
(b) Find the total attendanceat all the matches to thenearest 1000.
(c) How many more peoplewatched Fulham thanwatched Cardiff City, tothe nearest 100?
1.2 Decimals and Place ValueThe objectives of this section are to
• recognise the importance of place value in decimals
• order decimals
• round decimals to a given number of decimal places.
Note that the number
means
Example 1What is the value of '8' in each of these numbers?
(a) 0.812 (b) 8.107 (c) 0.085
Solution(a) 8 tenths (b) 8 units (c) 8 hundredths
Example 2Write these numbers in order, smallest first.
0.5, 0.95, 0.905, 0.59, 0.509, 0.6, 0.9
1.1
ARSENAL 1
HULL CITY 0
EVERTON 1
4MANCHESTERUNITED
1NEWCASTLE
1CHELSEA
0STOKE CITYCARDIFF CITY33 463
1
BLACKBURN28 212
1
WEST HAM29 126
4
LIVERPOOL43 007
2
FULHAM36 534
2
ASTON VILLA28 036
1
NORWICH15 131
0
1�.�7�4�3
1 unit 7 tenths 4 hundredths 3 thousandths
1 7 4 3.
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Solution0.5, 0.509, 0.59, 0.6, 0.9, 0.905, 0.95
Example 3Write 8.4751 correct to (a) 3 decimal places
(b) 2 decimal places
(c) 1 decimal place
Solution(a) 8.475, since 8.4751 is nearer to 8.475 than to 8.476
(b) 8.48, since 8.4751 is nearer to 8.48 than to 8.47
(c) 8.5, since 8.4751 is nearer to 8.5 than to 8.4
Exercises1. What is the value of the '5' in each of these numbers?
(a) 0.45 (b) 0.54 (c) 5.74
(d) 3.415 (e) 4.258 (f) 3.502
2. Write the numbers in order, smallest first.
0.85, 0.9, 0.8, 0.58, 0.6, 0.5, 0.87
3. Write each of these numbers correct to 1 decimal place.
(a) 1.47 (b) 3.68 (c) 0.45
(d) 3.751 (e) 4.08 (f) 5.005
4. Write each of these numbers correct to 2 decimal places.
(a) 3.444 (b) 8.555 (c) 0.321
(d) 4.7612 (e) 0.3002 (f) 4.1050
5. Shanice is given a number correct to 3 decimal places. She writes it to2 decimal places as 4.71.Write down a list of the numbers she could have been given.
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6. Write these numbers in figures.
(a) Four and six tenths
(b) Five and four hundredths
(c) Sixteen, three tenths and four hundredths
(d) One hundred and five hundredths
(e) One thousand and twenty six and five thousandths
7. Write these numbers in words.
(a) 5.7 (b) 5.006 (c) 3.02
8. What is the difference between four tenths and forty hundredths? Explainyour answer.
9. Write these numbers in order, largest first.
0.7, 0.2991, 1.05, 1.508, 0.58, 2.4
10. You are given the digits 3, 4, 0, 7 and a decimal point. Using eachnumber only once, what is
(a) the largest number you can make
(b) the smallest number you can make?
1.3 Addition and SubtractionThe objectives of this section are to
• revise addition and subtraction of whole numbers
• extend addition and subtraction to decimal numbers.
Example 1
(a) 3 6 2 3 8 since 6 2 811
(b) 18 4 7− 18 11− since 4 7 117
(c) 12 4 2− − 12 2− since 4 2 2−10
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(d) 12 4 2− − 8 2− since 12 4 8−6
Example 2Calculate:
(a) 102 8 15 21. .
(b) 92 69 10 4. .−
Solution(a) To find 102 8 15 21. . , line up the decimal points:
102.80+ 15.21
118.01
(b) To find 92 69 10 4. .− , line up the decimal points:
92.69– 10.40
82.29
Exercises
1. Find:
(a) 3 5 (b) 8 3 (c) 9 7
(d) 7 8 (e) 7 6 (f) 5 9
(g) 14 22 (h) 18 9 (i) 16 15
(j) 21 22 (k) 18 7 (l) 14 31
(m) 47 9 (n) 82 6 (o) 72 17
2. Is each of these statements true or false?
(a) 3 9 9 3 (b) 3 1 1 3− −
(c) 8 2 9 9 8 2 (d) 14 7 6 7 20
(e) 3 16 3 16− (f) 17 10 10 17− −
(g) 4 16 9 11 16 (h) 14 8 8 14
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3. Find:
(a) 8 − 5 (b) 9 − 7 (c) 7 − 4
(d) 8 − 6 (e) 15 − 3 (f) 18 − 5
(g) 28 − 15 (h) 48 − 26 (i) 12 − 9
(j) 16 − 7 (k) 14 − 5 (l) 32 − 24
(m) 122 − 86 (n) 92 − 47 (o) 57 − 39
4. Find:
(a) 3 6 2− (b) 5 8 7− −
(c) 3 6 8− (d) 15 4 2−
(e) 17 1 4− − (f) 23 4 2− −
(g) 5 14 7 3− − (h) 4 71 1 1−
(i) 8 3 2 5− − (j) 16 8 7 5− − −
5. Copy these sums and put brackets into each one, so that they are correct.
(a) 5 8 7 4− − (b) 6 3 2 1−
(c) 5 7 2 1 11− − (d) 14 7 3 2 8− − −
6. Find the sum of each set of numbers.
(a) 18 and 15 (b) 6, 10 and 24
(c) 42, 33 and 62 (d) 47, 82 and 37
7. Find the difference between each pair of numbers.
(a) 18 and 15 (b) 22 and 47
(c) 92 and 46 (d) 57 and 84
8. Miss Sharp teaches 2 classes in one morning. There are 32 children in thefirst class and 28 in the second.
(a) How many children does she teach altogether?
(b) How many more children are there in the first class than in thesecond?
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9. There are 22 people on a bus.
(a) At the next stop 5 people get off and 12 people get on. How many arenow on the bus?
(b) At the next stop nobody gets off and the bus leaves with 35 people onboard. How many people got on at this stop?
10. This season Alex has scored 12 goals for his team. Last season he scored18 goals for his team.
(a) How many goals did he score in total in the two seasons?
(b) What is the difference between the number of goals scored in eachseason?
11. Jade has 42 DVDs. Shona has 8 fewer than Jade. Nicole has 13 more thanShona. How many DVDs does Nicole have?
12. In one school there are 3 classes in Grade 7. One class has 38 children, onehas 39 children and the other has 41 children. How many children are therein Grade 7?
13. There are 216 cars in a car park. In the next hour, 82 cars arrive and 73 carsleave. How many cars are in the car park at the end of the hour?
14. Alison goes on holiday on her motorbike. She keeps a record of how far sherides each day.
What is the total distance she rides?
15. Use a quick method for each of these sums.
(a) 18 7 12 (b) 108 19 12
(c) 99 17 11 (d) 17 19 13
(e) 46 23 16− (f) 128 15 13− −
(g) 72 11 38 (h) 19 6 9−
(i) 52 23 12− (j) 16 18 6−
(k) 37 42 2− (l) 68 19 1
(m) 33 7 17− (n) 67 18 13
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Day 1 2 3 4 5
Km 120 38 59 62 119
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16. Find:
(a) 0.3 0.6 (b) 0.8 0.1
(c) 0.42 0.11 (d) 1.2 3.7
(e) 1.46 3.42 (f) 5.7 2.4
(g) 6.7 3.6 (h) 5.12 8.99
(i) 17.2 0.42 (j) 5.6 3.21
(k) 0.04 1.521 (l) 6.3 4.72
(m) 18.14 3.2 (n) 16.5 3.218
17. Find:
(a) 0.7 − 0.2 (b) 0.9 − 0.6
(c) 1.3 − 0.1 (d) 4.2 − 3.1
(e) 6.9 − 3.5 (f) 8.9 − 7.3
(g) 7.2 − 5.3 (h) 6.6 − 4.8
(i) 19.24 − 8.3 (j) 18.62 − 1.7
(k) 15.2 − 3.46 (l) 11.4 − 3.12
(m) 0.7 − 0.04 (n) 0.88 − 0.49
1.4 Multiplication of Whole NumbersThe objectives of this section are to
• revise and practise multiplication of whole numbers
• use multiplication of whole numbers in practical problems.
We start with multiplicationof whole numbers, which isa useful technique for manyproblems.
You should know yourmultiplication tables up to10 10, but for revision,we include these here.
Example 1Jai spends $3 on sweets each week for 7 weeks. Calculate how much he spendsaltogether.
SolutionHe spends (in $) 3 3 3 3 3 3 3 21 , but it is easier to calculate
3 7 21 is $21.
Exercises
1. Find
(a) 2 3 (b) 5 7 (c) 6 3
(d) 3 7 (e) 5 4 (f) 9 2
(g) 8 5 (h) 6 6 (i) 9 4
(j) 8 7 (k) 9 8 (l) 7 9
(m) 6 7 (n) 9 9 (o) 8 6
2. Is each of these statements true or false?
(a) 5 4 4 5 (b) 6 5 6 7
(c) 8 9 4 36 (d) 21 5 7 15
3. Jamil saves $5 per month from his pocket money.
(a) How much does he save in 4 months?
(b) How long will it take him to save $30?
4. How many bottles are there inthis crate?
5. Emma, Rachel, Sarah and Hannah go to a disco. It costs $3 each to get in.How much do they pay altogether?
6. The picture shows the tiles on one wall inSophia's bathroom. How many tiles areon this wall?
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7. Packets of chewing gum are packed in a box. In a box there are 8 layerswith 9 packets of chewing gum in each layer. How many packets are therein the box?
8. A hotel has 9 floors. On each floor there are 7 windows. How manywindows are there in the hotel?
9. Find, by any method:
(a) 3 42 (b) 8 35 (c) 6 22
(d) 9 43 (e) 12 62 (f) 15 32
(g) 84 22 (h) 19 48 (i) 62 18
(j) 43 62 (k) 172 42 (l) 461 78
(m) 184 192 (n) 392 412 (o) 494 72
10. Use the box method to find:
(a) 12 15 (b) 32 21 (c) 89 42
(d) 45 57 (e) 62 91 (f) 112 428
1.5 Multiplying with DecimalsThe objectives of this section are to
• revise and practise multiplication with decimals
• use multiplication with decimals in practical problems.
Example 1You know that 35 19 665.
Deduce the value of(a) 3 5 19. (b) 3 5 1 9. . (c) 350 1 9. (d) 350 190
Solution
(a) 3 5 19. 3510
19
35 1910
66510
66.5
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(b) 3 5 1 9. . 3510
1910
35 19100
6651006.65
(c) 350 1 9. 35 10 1910
35 10 1910
665
(d) 350 190 35 10 19 10
35 19 10 10
665 100
66500
Of course, in practice you do not need to write out the calculations in full like this,but simply write down the answers.
Example 2In a train there are 6 coaches each with 68 seats and two coaches each with42 seats. What is the total seating capacity of the train?
SolutionThe total number of seats 6 68 2 42
408 84
492 seats
Example 3Find the cost of 12 lunches, each costing $3.29.
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SolutionYou can use long multiplication to get the answer.
3.2912
3290+ 658 $39.48
Exercises1. Find:
(a) 3 0.8 (b) 5 0.7 (c) 3 2.6
(d) 9 1.2 (e) 6 1.5 (f) 8 7.9
(g) 2.1 3.2 (h) 5.6 7.2 (i) 8.4 2.1
(j) 9.2 1.8 (k) 1.2 6.2 (l) 15 7.3
(m) 22 9.4 (n) 62 7.1 (o) 74 5.3
2. Work out the following, using a quick method if possible.
(a) 6 10 (b) 0.7 10
(c) 12.2 100 (d) 112 10
(e) 2 3.2 5 (f) 2 62 50
(g) 1.47 1000 (h) 18.41 10
(i) 365 100 (j) 200 7200 5
3. Find:
(a) 2.47 1.6 (b) 3.25 11.1 (c) 3.42 6.19
(d) 7.24 5.16 (e) 8.21 15.1 (f) 32.1 0.47
4. It costs $9 to go on a school trip. A class of 28 children all go on the trip.How much do they pay in total?
5. Chocolate bars are packed in boxes. Each box contains 24 bars. Mrs Patelbuys 8 boxes for the tuck shop. How many bars does she buy?
6. A train has 8 carriages. There are 52 seats in each carriage. How manyseats are there on the train?
7. A crate contains 24 bottles of juice. There are 32 crates on a truck. Howmany bottles are on the truck?
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8. Matthew organises a trip to a concert. He buys 32 tickets which cost $35each. How much does he spend on the tickets?
9. Sean helps his parents build a patio. It is rectangular. There are 12 slabsalong one side and 18 along the other side. How many slabs are there in thepatio?
10. A burger costs $1.29. Find the cost of 10 burgers.
11. Andre earns $2.54 each day for his paper round. How much does he earn in6 days?
12. A meal for an adult costs $4.99 and a meal for a child costs $2.25. Find thetotal cost of 2 adult and 4 child meals.
13. Rope is sold for $1.28 per metre. Find the cost of 10 metres of rope.
14. The price of a carpet is $4.99 per square metre. Find the cost of 8 squaremetres of carpet.
15. Chain is sold for $2.44 per metre. Find the cost of 3.2 metres of chain.
16. Apples are sold for $1.06 per kilogram. Find the cost of 2.4 kilograms ofapples.
1.6 Order of Operations: BODMASThe objectives of this section are to
• revise division of whole numbers
• understand that the order of operations is important.
The process of division is multiplication in reverse. So, since 4 3 12 , then12 4 3 and 12 3 4 but you also need to remember the order in whichoperations must be carried out, which can be summarised by BODMAS:
Brackets first
O
Divide
Multiply
Add
Subtract
Example 1
Calculate (a) 16 2 3, (b) 16 2 3 .
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Solution(a) 16 2 3 32 3 (Multiplication before Addition)
4. A student works out 200 4 by this method:200 2 100100 2 50
Use similar methods to find:(a) 500 4 (b) 52 4 (c) 68 4(d) 128 4 (e) 224 4 (f) 104 8(g) 80 16 (h) 112 16 (i) 128 8
1.7 Division MethodsThe objectives of this section are to
• revise and extend methods of division of whole numbers and decimals.
Care must be taken when handling divisions, particularly when they involvedecimals.
Example 1Find
(a) 1300 100
(b) 1 75 5.
(c) 6 31 4.
Solution
(a) 1300 100 1300100
13
(b) 1 75 5. 0.35 since
(c) 631 4 gives , i.e. 157 with remainder 3
Alternatively, to get the answer in decimal form, write
i.e. 157.75
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0.355 1.75
157 r 34 631
157.754 631.00
2 3 3 2
2 3
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Example 245 sweets are divided equally between 9 children. How many do they each get?
SolutionEach child gets 45 9 5 sweets .
Exercises1. Find:
(a) 12 10 (b) 4200 10
(c) 600000 10 (d) 3714 10
(e) 5728 10 (f) 6000 100
(g) 7000 1000 (h) 75000 100
(i) 750 100 (j) 3714 100
(k) 8412 100 (l) 642130 10000
2. Carry out the following divisions.
(a) 69 3 (b) 4545 9 (c) 6612 3
(d) 2947 7 (e) 7404 6 (f) 37050 5
(g) 2208 12 (h) 13488 24 (i) 1792 32
(j) 10530 45 (k) 4284 18 (l) 10 496 41
3. Carry out the following divisions.
(a) 2.54 2 (b) 21.63 3 (c) 10.24 4
(d) 87.5 5 (e) 918.4 7 (f) 49.24 4
(g) 388.5 15 (h) 123.84 12 (i) 714.84 6
4. Carry out the following divisions, giving your answers as decimals.
(a) 21 4 (b) 81 2 (c) 162 4
(d) 263 4 (e) 84 8 (f) 241 8
5. A multistorey car park has 4 levels, each taking the same number of cars.When full it holds 124 cars. How many cars can park at each level?
6. Randall borrows $50 from his Dad. He pays it back in 10 equal weeklyinstalments. How much does he pay back each week?
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7. $375.69 is raised at a jumble sale. This is divided equally between3 charities. How much does each of the charities get?
8. Chloe has 24 sweets. She shares them out equally between herself and her3 friends. How many sweets do they get each?
9. Three children are paid $15 for working in a garden. They share the moneyequally between them. How much do they get each?
10. Kate buys 6 tickets, each costing the same, for the theatre. She pays a totalof $54 for the tickets. How much does each ticket cost?
11. A rope is 22.48 m long. It is cut into 4 parts of equal length. How long iseach part?
12. A baker mixes 1944 grams of dough. It is used to make 12 small loaves ofequal weight. How much dough is used in each loaf?
13. Rachel, Ben, Emma and Hannah are given $5.50 to share equally betweenthem. Describe the problem they have.
14. 40 children want to go on a school trip to an athletics competition. Theywill be taken in minibuses that each hold 13 passengers. How manyminibuses will be needed for the trip?
15. How many chocolate bars costing 23 cents each can I buy with $2?
16. A teacher has 240 grams of clay. She cuts off lumps of mass 35 grams each.
(a) How many lumps can she make?
(b) How much clay is left over?
17. A text book costs $7.50. A teacher has $149 to spend on books. How manycopies of this text book can she buy?
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1.8 Roman NumeralsThe objectives of this section are to
• understand Roman numerals
• convert Roman numerals to and from base 10 (Arabic) numbers.
The number system that we use in daily life is the base 10 (Arabic) system.
Roman numerals are an equivalent system of representing numbers.
In the Roman system we use
I for 1
V for 5
X for 10
L for 50
C for 100
D for 500
M for 1000
The values of consecutive letters are ADDED unless a letter with a lower valueappears in front of a letter with a higher value. When this is the case, the lowervalue letter is SUBTRACTED from the higher value, as shown in the followingexamples:
• placing I before V or before X to make the numbers 4 (IV) or 9 (IX)
• placing X before L or C to make the numbers 40 (XL) or 90 (XC)
• placing C before D or M to make 400 (CD) or 900 (CM).
Examples of the effects of the order in which letters are placed:
VII 5 1 1 7
XXV 10 10 5 25
IV 5 1 4−
IC 100 1 99−
VL 50 5 45−
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Example 1Complete these number lines using Roman numerals.
(a)
(b)
Solution(a)
(b)
Example 2Convert the following Roman numerals to base 10.
(a) II (b) IX (c) DI (d) LIX
Solution(a) 11 1 1 2
(b) IX 10 1 9−
(c) DI 500 1 501
(d) LIX 50 10 1 59−
Example 3Convert the following base 10 numbers to Roman numerals.
(a) 14 (b) 84 (c) 27 (d) 1010
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10 3020 40 6050 70 9080 100 1201100
CLX
1 32 4 65 7 98 10 12110
XI VIII IVII VI VII VIII IX XI XII
10 3020 40 6050 70 9080 100 1201100
CLX XX XXX XL LX LXX LXXX XC CX CXX
1 32 4 65 7 98 10 12110
XI V
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Solution(a) 14 10 4 10 5 1− XIV
84 50 30 4 50 30 5 1− LXXXIV
27 20 5 2 XXVII
1010 1000 10 MX
Exercises1. Convert the following Roman numerals to base 10.
(a) VIII (b) CD (c) DVI (d) CDXC
2. Convert the following base 10 numbers to Roman numerals.
(a) 6 (b) 109 (c) 56 (d) 1499
3. Complete the number line using Roman numerals.
4. Change the Roman numerals to base 10 numbers.
(a) (i) DIX (ii) MCMXLV (iii) CMIV
(iv) CDXVI (v) MCXI (vi) CMXCIX
(b) (i) List the numbers in (a) above in decreasing order.
(ii) Divide the second number in your list by 11 and write theanswer in Roman numerals.
5. Above the entrance to a church there is a Roman number
MDCCXCI
When do you think the church was built?
The crypt was built 153 years before the main church.
What Roman number is carved in the wall of the crypt?
100 300200 400 600500 700 900800 1000 11000
MDC
Module 1: Numbers and Number Sense
24CCSLC CXC
1.8
6. Which Roman numeral can written instead of the shapes to make thestatements true?
(a) CDLXXIX < < CDLXXXIII
(b) CMXCVIII < < MIV
Give your answers in Roman numerals.
7. Continue the sequences, giving the next 3 terms, using Roman numerals.
