R. Perform the following operations : a. 3.971 × 107 + 1.98 × 104 ; b. 1.05 × 10-4 - 9.7 × 10-5; c. 4.11 × 10-3 + 8.1×10-4; d. 2.12 × 106 - 3.5 × 105

Question

4) Solve the following problems

R. Perform the following operations :

a. 3.971 × 10⁷ + 1.98 × 10⁴ ;

b. 1.05 × 10^-4 - 9.7 × 10^-5;

c. 4.11 × 10^-3 + 8.1×10^-4;

d. 2.12 × 10⁶ - 3.5 × 10⁵

Answer 1

A) 3.971 × 10⁷ + 1.98 × 10⁴

= 3.971 × 10⁷ + 0.00198 × 10⁷

= (3.971 + 0.00198) × 10⁷

= 3.97298 × 10⁷

B)  1.05 × 10⁻⁴ − 9.7 × 10⁻⁵

= 10.5 × 10⁻⁵ − 9.7 × 10⁻⁵

= (10.5 − 9.7) × 10⁻⁵

= 0.80 × 10⁻⁵

= 8.0 × 10⁻⁶

C)  4.11 × 10⁻³ + 8.1 ×10⁻⁴

= 41.1 × 10⁻⁴ + 8.1 × 10⁻⁴

= (41.1 + 8.1) × 10⁻⁴

= 49.2 × 10⁻⁴

= 4.92 × 10⁻³ 

D)  2.12 × 10⁶ − 3.5 × 10⁵

= 21.2 × 10⁵ − 3.5 × 10⁵

= (21.2 − 3.5) × 10⁵

= 17.7 × 10⁵

= 1.77 × 10⁶