Understanding Engineering Mathematics

(iv) −

39

125

(v)

17

100

C.

Scientific

Given Notation Mantissa Exponent

(i) 21.3241 2. 13241 × 10 2.13241 1

(ii) 429.003 4. 29003 × 102 4.29003 2

(iii) −0.000321 − 3. 21 × 10 −^4 −3.21 − 4

(iv) 0.00301 3. 01 × 10 −^3 3.01 − 3

(v) 1,000,100 1. 0001 × 106 1.0001 6

(vi) 300491.2 3. 004912 × 105 3.004912 5

D.(a) (i) 21.3 (ii) 429 (iii) −0.000321 (iv) 0.00301 (v) 1,000,000

(vi) 300,000

(b) (i) 21.3241 (ii) 429.003 (iii) −0.000321 (iv) 0.003010 (v) 1,000,100

(vi) 300491

1.3.9 Estimation

A.(i) 10 (ii) 20 (iii)

1

10

(iv)

1

20

B.(i) 0.1 (ii) − 13 (iii) 62× 105 (iv) 10