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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.

Respuesta :

Answer:

a) 38 mg

b) 230 Exa-g

c) 24 ng

d) 8 Eg

e)  4.2 g

Step-by-step 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