form 1 chapter 6 order of operations notes 2014

Form 1 [CHAPTER 6: ORDER OF OPERATIONS]

1 C.Camenzuli| www.smcmaths.webs.com

Chapter 6: Order of Operations 6.1 – Powers A power or index is an operator, like +, −, × and ÷.

23 means 2 x 2 x 2, which is equal to 8.

Further examples:

42 = 4 × 4 = 16

33 = 3 × 3 × 3 = 27

52 = 5 × 5 = 25

Work out the following: Working Answer

62

82

92

112

53

24

63

2 is the base 3 is the power, or index

23 is not the same as 2 × 3, which is 6.



6.2 – Powers of ten

Power of ten Working Number Name 101

10 10 Ten

102

10 × 10 100 Hundred

103

10 × 10 × 10 1000 Thousand

104

10 × 10 × 10 × 10 10000 Ten Thousand

105

10 × 10 × 10 × 10 × 10 100000 Hundred Thousand

106

10 × 10 × 10 × 10 × 10 × 10 1000000 Million

What do you notice? ______________________________________________________________________ ______________________________________________________________________

6.3 – BIDMAS Work out:

i) (8 x 5) – (4 x 6) ii) 22 x 3 iii) (2 + 3)2 + 6 x 2

From where do we start? The word BIDMAS gives you the order with which you work such sums. Brackets Indices Division Multiplication Addition Subtraction



• This means that if there are brackets first, they are worked out.

• Powers are worked out in the same stage as that of the Indices.

• If no brackets are present in the question the multiplication and division are worked out prior to the addition and subtraction

i) (8 × 5) – (4 × 6)

ii) 22 × 3

iii) (2 + 3)2 + 6 × 2



6.4 – BIDMAS with fractions When we have fractions we work out the numerator and denominator using BIDMAS, then we work out the fraction. Work out:

i) 3 75+

Step 1: Work out the Numerator 105

Step 2: Work out the Denominator There is nothing that one has to do to the denominator Step 3: Work out the Fraction 10 25=

Answer: 2

ii) 1546 29+



iii) (6 5) 29 5× +

−

form 1 chapter 6 order of operations notes 2014

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