Chapter 1 Number Calculations Basic Numbers F1 2013

Chapter 1: Number Calculations: Basic Numbers Form 1

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Chapter 1: Number Calculations: Basic Numbers 1.1 Place Value and writing numbers Each digit in a number has a place value:

3256.786

3000 200 50 6 0.7 0.08 0.006

thousands hundreds tens units tenths hundredths thousandths 1000 s 100s 10 s 1 s 1/10 s 1/100s 1/1000s

You say ‘three thousand, two hundred and fifty six point seven, eight, six’

Ø Using zeros in a number keeps the place values of the other digits:

For example:

10 is not 1

1.05 is not the same as 1.5

103 is not the same as 13

Knowing your numbers! One hundred – 100 One thousand – 1 000 Ten thousand – 10 000 Hundred thousand – 100 000 One million – 1 000 000 Ten million – 10 000 000 Hundred million – 100 000 000 One Billion – 1 000 000 000



Exercise 1: What is the value of the digit in bold?

a) 3500

b) 0.654

c) 2368

d) 12.345

e) 4567.1965

f) 5.005

Exercise 2: Complete the following table:

Figures Number in words

1 456 956

45 567.529

854 500 000

One million, seven hundred thousand and

twenty-‐five.

Six billion, five hundred and thirty

thousand, five hundred and sixteen.

One thousand and fifty-‐six point seven,

eight.

Support exercises: F1 pg 3 nos. 4, 5, 6; pg 8 nos. 2,3; pg 59 nos. 1.



1.2 Addition and subtraction

It doesn’t matter what method you use to add or subtract numbers. The most important thing is that the method makes sense and it gives a correct answer. All methods that make sense and give a correct answer will be given full marks.

Exercise 1: Calculate:

(i) 180 + 249

(ii) 156 + 126

(iii) 164 – 43

(iv) 145 – 136

(v) 84 + 32 + 45

(vi) 1456 – 276



Exercise 2: Nathan builds a home cinema system. The LED TV costs € 1567, the DVD player costs € 250 and the speakers cost € 678. What is the total cost of the system if he buys them all? Exercise 3: Isaac opened a bank account on Monday with € 250. On Tuesday he withdrew € 67, on Wednesday he deposited € 150, on Friday he withdrew € 23 and on Saturday he deposited € 385. How much was in his account on Sunday. Exercise 4: Matthias wins a car in a competition. The car is worth € 15 450. If he decides to upgrade his car to one which costs € 23 567. How much extra must he pay? Support exercises: F1 pg 17 nos. 1,2,3; pg 26 nos. 1; WS 7S



1.3 Multiplication and division mentally To mentally multiply or divide first you have to

1) Work out the numbers which are not zero with a normal multiplication or division.

2) Work out the zeros. Exercise 1: Evaluate

(i) 30 × 20

(ii) 50 × 20

(iii) 110 × 4

(iv) 80 × 900

(v) 12 000 × 20 000

(vi) 9 000 × 4 000

(vii) 600 ÷ 10

(viii) 810 ÷ 9

(ix) 56 000 ÷ 80

(x) 48 000 ÷ 400

(xi) 630 ÷ 90

(xii) 54 000 ÷ 6 000

Support exercises: F1 pg 5 nos. 1,2; pg 8 nos. 4.



1.4 Short Multiplication and short division Exercise 1: Work out the following:

(i) 125 × 5

(ii) 432 × 7

(iii) 12 328 × 4

(iv) 4 231 × 2

(v) 625 ÷ 5

(vi) 476 ÷ 7

(vii) 243 ÷ 3

(viii) 301 ÷ 7



Exercise 2: Julian is saving up for an mp 3 player costing € 112. He can save 8 Euros per week. How many weeks will it take before Julian can afford the computer? Exercise 3: Fabian earns € 8 per weekend delivering newspapers. How much does the student earn in a year of 52 weekends? Support exercises: WS 8s



1.5 Long Multiplication Exercise 1: Use standard written multiplication to find the following:

(i) 645 × 36

(ii) 432 × 89

(iii) 1321 × 75



(iv) 456 × 311 Exercise 2: I bought five stamps at 17 Euro Cent each. How much change did I get from 1 Euro?



Exercise 3: Diesel costs 83 Euro Cent per litre, how much would 569 litres cost? Exercise 4: A football team sold 1456 season tickets at 85 Euros each. How much money did it make? Support exercises: F1 pg 21 nos. 1, 2, 3; WS 9s

Chapter 1 Number Calculations Basic Numbers F1 2013

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