1.

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»

To perform addition/subtraction operation, first the numbers are written in such a way that they have the same exponent. 

The coefficients are then added/subtracted.

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


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