1. Use brackets to write a mathematical
expression for each of the following:
a) 7 is divided by the difference of 12
and 5.
b) Multiply 6 with the sum of 9 and 4.
d) Subtract the difference of 9 and 2
froin the sum of 13 and 12.
d) Add the product of 5 and 2 to the
difference of 18 and 15.
c) 65 = 5x3+17-5
d) 124 x 13 + 16 + 4
e) 18 + 10- 7 * 32 of 24
3
1) 9 of 12-16 + 32 x 2
g) 42 = 7* 3+
6
h) 42-[20 - {19-(14 - 8 - 4)}]
i) 910-[80+ 34-(77-50)}]
j) 54 +9 (43 - 261-2) - 3
k) 555+ {22 + 343 - (16+8+ 13 - 15)}
1) 91 - [22 - {16+ (39 + 3 of 3 - 40)}]
of 54 x 5
2. Simplify the following:
a) 25*5-12 +18=9
b) 881 x 2 +24 - 12-2
m) 27+3 - (29- {6=3-(5-6+3)=3}]
n) (12 +3 2)-(16-5x2)
.) 12 of 9 - {13 +267 +2 – 1);
p) 90 * 3+ [120 + (50 -(13-5)}]
9) 9+[{2 of 35+(3+5 -1)} 15-2)
Answers
BODMAS calculations
Answer:
1.
a) 7 ÷ (12 - 5)
b) 6 × (9 + 4)
c) (13 + 12) - (9 - 2)
d) (5 × 2) + (18 - 15)
2.
a) 25 × 5 - 12 + 18 ÷ 9
= 25 × 5 - 12 + 2
= 125 - 12 + 2
= 125 + 2 - 12
= 127 - 12
= 115
b) 881 × 2 + 24 - 12 ÷ 2
= 881 × 2 + 24 - 6
= 1762 + 24 - 6
= 1786 - 6
= 1780
c) 65 ÷ 5 × 3 + 17 - 5
= 13 × 3 + 17 - 5
= 39 + 17 - 5
= 56 - 5
= 51
d) 124 × 13 + 16 ÷ 4
= 124 × 13 + 4
= 1612 + 4
= 1616
e) 18 + 10 - 7 × 32 ÷ 1/3 of 24
= 18 + 10 - 7 × 32 ÷ (1/3 × 24)
= 18 + 10 - 7 × 32 ÷ 8
= 18 + 10 - 7 × 4
= 18 + 10 - 28
= 28 - 28
= 0
f) 9 of 12 - 16 + 32 × 2
= 9 × 12 - 16 + 32 × 2
= 108 - 16 + 64
= 108 + 64 - 16
= 172 - 16
= 156
g) 42 ÷ 7 × 3 + 1/6 of 54 × 5
= 42 ÷ 7 × 3 + 1/6 × 54 × 5
= 42 ÷ 7 × 3 + 9 × 5
= 6 × 3 + 9 × 5
= 18 + 45
= 63
h) 42 - [20 - {19 - (14 - 8 - 4)}]
= 42 - [20 - {19 - (14 - 12)}]
= 42 - [20 - {19 - 2}]
= 42 - [20 - 17]
= 42 - 3
= 39
i) 910 - [80 + {34 - (77 - 50)}]
= 910 - [80 + {34 - 27}]
= 910 - [80 + 7]
= 910 - 87
= 823
j) 54 + 9 (43 - 26 - 2) ÷ 3
= 54 + 9 (43 - 28) ÷ 3
= 54 + 9 × 15 ÷ 3
= 54 + 9 × 5
= 54 + 45
= 99
k) 555 + {22 + 343 - (16 ÷ 8 + 13 - 15)}
= 555 + {22 + 343 - (2 + 13 - 15)}
= 555 + {22 + 343 - (15 - 15)}
= 555 + {22 + 343 - 0}
= 555 + 365
= 920
l) 91 - [22 - {16 ÷ (39 + 3 of 3 - 40)}]
= 91 - [22 - {16 ÷ (39 + 9 - 40)}]
= 91 - [22 - {16 ÷ (48 - 40)}]
= 91 - [22 - {16 ÷ 8}]
= 91 - [22 - 2]
= 91 - 20
= 71
m) 27 + 3 - [29 - {6 ÷ 3 - (5 - 6 ÷ 3) ÷ 3}]
= 27 + 3 - [29 - {6 ÷ 3 - (5 - 2) ÷ 3}]
= 27 + 3 - [29 - {6 ÷ 3 - 3 ÷ 3}]
= 27 + 3 - [29 - {2 - 1}]
= 27 + 3 - [29 - 1]
= 27 + 3 - 28
= 30 - 28
= 2
n) (12 + 3 × 2) - (16 - 5 × 2)
= (12 + 6) - (16 - 10)
= 18 - 6
= 12
o) 12 of 9 - {13 + 2 (7 + 2 - 1)}
= 12 × 9 - {13 + 2 (7 + 2 - 1)}
= 12 × 9 - {13 + 2 (9 - 1)}
= 12 × 9 - {13 + 2 × 8}
= 12 × 9 - {13 + 16}
= 12 × 9 - 29
= 108 - 29
= 79
p) 90 × 3 ÷ [120 ÷ {50 - (15 - 5)}]
= 90 × 3 ÷ [120 ÷ {50 - 10}]
= 90 × 3 ÷ [120 ÷ 40]
= 90 × 3 ÷ 3
= 90 × 1
= 90
q) 9 + [{2 of 35 ÷ (3 + 5 - 1)} + 15 - 2]
= 9 + [{2 × 35 ÷ (3 + 5 - 1)} + 15 - 2]
= 9 + [{2 × 35 ÷ (8 - 1)} + 15 - 2]
= 9 + [{2 × 35 ÷ 7} + 15 - 2]
= 9 + [{2 × 5} + 15 - 2]
= 9 + [10 + 15 - 2]
= 9 + [25 - 2]
= 9 + 23
= 32
Answer:
12 * 8 - [64 - \{18 / (9 - 6 - 3)\}]