Understanding Engineering Mathematics

(iv) 24= 23 ×3(v)− 72 =− 1 × 23 × 32 (vi) 81= 34

(vii) 2−^1 × 33 × 7 −^1 (viii) 11× 13 (ix) 17× 23

(x) 5× 41

B. (i) 11 (ii) 4 (iii) 1

(iv) 5 (v) 1 (vi) 24

(vii) 6

C. (i) 4 (ii) 40 (iii) 60

(iv) 54 (v) 420 (vi) 1584

1.3.4 Manipulation of numbers

A. (i) − 39 (ii) 7 (iii) 1

(iv) 18 (v) 8 (vi) 2

(vii)^43

B.(i) 56 (ii) 181 (iii) 1

(iv) − 66 (v) 9

C. 44; 2 pairs of brackets, 4+( 5 ×( 23 ))
With one pair we can get 72, 1004, 2744
With two pairs we could also get 18^3

1.3.5 Handling fractions

A. (i)

5

6

(ii) 4 (iii)

14

15

(iv)

98

75

(v)

3

4

(vi)

4

21

(vii)

7

2

(viii)

5

6

(ix)

4

15

(x) −

130

189

(xi) 24

B.(a) (i)

28

3

(ii) 7 (iii) −

49

7

(iv) 35

(b) (i)

12

7

(ii)

9

7

(iii) −3(iv)

45

7

C.(i)

5

2

(ii)

5

7

(iii)

2

7

(iv)

3

7

(v)

29

10

(vi)

1

21

(vii)

58

21