Question

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converting units by using two conversion factors
units of weight
customary system units | metric system units
1 ounce | 28.35 grams
1 pound | 0.45 kilograms
1 ton | 907.2 kilograms
1 kilogram = 1,000 grams
jillian is mailing an 8 - pound package. she doesnt know a single conversion factor that will convert pounds to grams. which conversion factors can you use to find the weight in grams? check all that apply.
□ \\(\frac{0.45 \text{kg}}{1 \text{pound}}\\)
□ \\(\frac{1 \text{ton}}{907.2 \text{kg}}\\)
□ \\(\frac{907.2 \text{kg}}{1 \text{ton}}\\)
□ \\(\frac{907.2 \text{kg}}{1 \text{ton}}\\)
□ \\(\frac{1,000 \text{grams}}{1 \text{kg}}\\)

Explanation:

Step1: Identify required conversion flow

We need to convert pounds → kilograms → grams.

Step2: Select pound to kg factor

The conversion factor to go from pounds to kilograms is $\frac{0.45\ \text{kg}}{1\ \text{pound}}$.

Step3: Select kg to grams factor

The conversion factor to go from kilograms to grams is $\frac{1,000\ \text{grams}}{1\ \text{kg}}$.

Step4: Verify irrelevant factors

Factors involving tons do not apply here, as we are converting pounds, not tons.

Answer:

$\frac{0.45\ \text{kg}}{1\ \text{pound}}$, $\frac{1,000\ \text{grams}}{1\ \text{kg}}$