8 Basic Engineering Mathematics
Now try the following Practice Exercise
Practice Exercise 4 Further problems on
order of precedence and brackets (answers
on page 340)
Evaluate the following expressions.
1. 14 + 3 × 15
2. 17 − 12 ÷ 4
3. 86 + 24 ÷ (14 − 2)
4. 7(23 − 18) ÷ (12 − 5)
5. 63 − 8(14 ÷ 2) + 26
6.
40
5
− 42 ÷ 6 + (3 × 7)
7.
(50 − 14)
3
+ 7(16 − 7) − 7
8.
(7 − 3)(1 − 6)
4(11 − 6) ÷ (3 − 8)
9.
(3 + 9 × 6) ÷ 3 − 2 ÷ 2
3 × 6 + (4 − 9) − 3 2 + 5
10.
4 × 3 2 + 24
÷ 5 + 9 × 3
2 × 3 2 − 15 ÷ 3
+
2 + 27 ÷ 3 + 12 ÷ 2 − 3 2
5 + (13 − 2 × 5) − 4
11.
1 +
√
25 + 3 × 2 − 8 ÷ 2
3 × 4 −
3 2 + 4 2
+ 1
−
(4 × 2 + 7 × 2) ÷ 11
√
9 + 12 ÷ 2 − 2 3
Now try the following Practice Exercise
Practice Exercise 4 Further problems on
order of precedence and brackets (answers
on page 340)
Evaluate the following expressions.
1. 14 + 3 × 15
2. 17 − 12 ÷ 4
3. 86 + 24 ÷ (14 − 2)
4. 7(23 − 18) ÷ (12 − 5)
5. 63 − 8(14 ÷ 2) + 26
6.
40
5
− 42 ÷ 6 + (3 × 7)
7.
(50 − 14)
3
+ 7(16 − 7) − 7
8.
(7 − 3)(1 − 6)
4(11 − 6) ÷ (3 − 8)
9.
(3 + 9 × 6) ÷ 3 − 2 ÷ 2
3 × 6 + (4 − 9) − 3 2 + 5
10.
4 × 3 2 + 24
÷ 5 + 9 × 3
2 × 3 2 − 15 ÷ 3
+
2 + 27 ÷ 3 + 12 ÷ 2 − 3 2
5 + (13 − 2 × 5) − 4
11.
1 +
√
25 + 3 × 2 − 8 ÷ 2
3 × 4 −
3 2 + 4 2
+ 1
−
(4 × 2 + 7 × 2) ÷ 11
√
9 + 12 ÷ 2 − 2 3
