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

Answer: The given value converted into ounces is 0.01107 ounce

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* ((1000g)/(1kg))* (\frac{1\text{ pound}}{453.6g})* (\frac{16\text{ ounce}}{1\text{ pound}})\\\\\Rightarrow 0.01107\text{ ounces}`

Hence, the given value converted into ounces is 0.01107 ounce

Answer 2

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 =
`((1)/(453.6)) pound`

So, 0.3140 grams =
`(0.3140* (1)/(453.6))pound`

Now,

`(0.3140*(1)/(453.6))pound\\ \\=(0.3140*(1)/(453.6)*16 )ounces\\ \\= 0.01108ounces\\ \\= 1.108*10^-^2 ounces`

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