1. Now try these. Record the different stages involved. a) (24 + 17) – 9
b) 38 + (26 – 18)
e) 19 + (35 + 24) f) (12 × 3) + 5 i) 49 + (8 × 7) m) 87 – (9 × 6)
j) (9 × 12) – 65 n) (83 – 32) – 18
c) 82 – (38 + 35) g) 7 × (9 + 15) k) 11 × (81 – 69) o) 97 – (67 – 49)
d) (35 – 18) + 97 h) (27 + 16) × 3 l) (25 – 19) × 42
2. Now try these, either by doing the part in the brackets first, in your head or in a rough work column.
a) (9 × 6) × 8
e) 132 ÷ (6 + 5) i) 72 ÷ (51 – 39) m) 81 ÷ (3 × 3)
b) 12 × (9 × 7) f) (54 ÷ 6) + 73 j) (108 ÷ 9) – 7 n) (42 ÷ 7) × 78
c) (29 + 25) ÷ 6 g) (108 – 59) ÷ 7 k) (21 × 3) ÷ 9
d) 47 + (96 ÷ 8) h) 104 – (36 ÷ 9) l) 38 × (28 ÷ 4)
o) (144 ÷ 12) ÷ 3 p) 63 ÷ (45 ÷ 5)
3. Use your calculator to work out the following. a) (196 × 46) + 3625 d) (54 × 36) ÷ 9
BODMAS
When there are no brackets, we perform the operations in this order of priority: division, multiplication, addition and finally subtraction. A good way to remember the order is BODMAS:
Brackets Of Division Multiplication Addition Subtraction
Check out The BODMAS Song on YouTube at
www.youtube.com. 39 + 12 × 5 =
We must multiply before we add, so 39 + 60 = 99
140 Rules and Properties
b) (4982 + 1373) – 2548 e) 1005 – (436 ÷ 4)
c) (414 ÷ 18) × 74 f) (2093 + 257) ÷ 5
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