Question

For the conversion of 0.0003140 kilograms to ounces, the conversion factors are 103 grams per kilogram, 1 pound per 453.6 grams and 16 ounces per pound. the correctly expressed answer is

Answer 1

The correctly expressed answer is  1.108 × 10⁻² ounces.

Explanation

The conversion factors are 10³ grams per kilogram, 1 pound per 453.6 grams and 16 ounces per pound.

So, 0.0003140 kilograms = $(0.0003140*10^3)grams = 0.3140 grams$

Now, 1 pound = 453.6 grams

⇒ 1 gram = $(\frac{1}{453.6}) pound$

So, 0.3140 grams = $(0.3140* \frac{1}{453.6})pound$

Now,

$(0.3140*\frac{1}{453.6})pound\\ \\=(0.3140*\frac{1}{453.6}*16 )ounces\\ \\= 0.01108ounces\\ \\= 1.108*10^-^2 ounces$

So, 0.0003140 kilograms = 1.108 × 10⁻² ounces.

Answer 2

Answer: The given value converted into ounces is 0.01107 ounce

Step-by-step explanation:

We are given:

Mass of the object = 0.003140 kg

Using the conversion factors:

$1kg=10^3g=1000g$

1 pound = 453.6 grams

1 pound = 16 ounces

Converting the given value, we get:

$\Rightarrow 0.0003140kg\times (\frac{1000g}{1kg})\times (\frac{1\text{ pound}}{453.6g})\times (\frac{16\text{ ounce}}{1\text{ pound}})\\\\\Rightarrow 0.01107\text{ ounces}$

Hence, the given value converted into ounces is 0.01107 ounce