Question

The following masses are given in kilograms. Use metric prefixes on the gram to rewrite them so the numerical value is bigger than one but less than 1000. For example, 7×10^−4kg could be written as 70 cg or 700 mg.

(a) 3.8×10^−5kg
(b) 2.3×10^17kg
(c) 2.4×10^−11kg
(d) 8×10^15kg
(e) 4.2×10^−3kg.

Answer 1

a) 38 mg

b) 230 Exa-g

c) 24 ng

d) 8 Eg

e) 4.2 g

Explanation:

Given:

a) 3.8×10⁻⁵ kg

1 kg = 10⁶ mg

Multiply the above value by 10⁶

we get

3.8×10⁻⁵ × 10⁶ = 38 mg

b) 2.3 × 10¹⁷ kg

or

2.3 × 10²⁰ g

1 exa = 10¹⁸

multiply by 10⁻¹⁸

we get

230 Exa-g

c) 2.4 × 10⁻¹¹ kg

or

24 × 10⁻⁹ g

1 g = 10⁹ ng

thus,

24 × 10⁻⁹ g × 10⁹ = 24 ng

d) 8×10¹⁵ kg

or

8 × 10¹⁸ g

1 exa gram = 10¹⁸ g

( 8 × 10¹⁸ ) × 10⁻¹⁸ = 8 Eg

e) 4.2 × 10⁻³ kg

or

4.2 × 10⁻³ × 10³ = 4.2 g