1.

Perform following calculations and express results in scientific notations (exponential notations).i. (2.5 × 10-6) × (1.8 × 10-7) ii. (4.5 × 10-3) × (1.8 × 103) iii. (8.5 × 107) × (3.5 × 109)

Answer»

i. (2.5 × 10-6) × (1.8 × 10-7

= (2.5 × 1.8) (10-6+(-7))

= (2.5 × 1.8) × (10-6-7)

= 4.5 × 10-13

ii. (4.5 × 10-3) × (1.8 × 103)

= (4.5 × 1.8) (10-3+3)

= (4.5 × 1.8) × (100)

= 8.1

iii. (8.5 × 107) × (3.5 × 109)

= (8.5 × 3.5) (107+9)

= (8.5 × 3.5) × 1016

= 29.75 × 1016

= 2.975 × 1017

[Note : To express number in scientific notation, the number has to be greater than or equal to 10 or less than 1. The number, 8.1 is greater than 1, but less than 10 and hence, it cannot be expressed in scientific notation.]



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