Question

Explain the steps you would take to complete this
conversion problem.
46 lb
1.
Х
1kg
2.2 lb
х
1,000 g
1kg
= ?

Answer 1

We have been given a conversion problem. We are asked to convert 46 pounds into grams.

First of all, we will convert pounds to kg.

We know that 1 kg is approximately 2.2 pounds.

$\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}$

Now we will convert kg to grams.

We know that 1 kg equal 1000 grams.

$\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}\times \frac{1000\text{ g}}{\text{1 kg}}$

Now we will cancel out common units that is kg with kg and pounds by pounds.

$\frac{46}{1}\times \frac{1}{2.2}\times \frac{1000\text{ g}}{1}$

Now we will multiply the terms in numerator and denominator.

$\frac{46\times1\times1000\text{ g}}{1\times2.2\times1}$

$\frac{46,000\text{ g}}{2.2}$

$\frac{46,000\text{ g}}{2.2}=20,909.0909\text{ g}\approx 20,909.1\text{ g}$

Therefore, 46 pounds are approximately 20,909.1 grams.

Answer 2

Answer:

First, you would cancel out the lb in 2.2 lb, and cancel the kg in 1 kg. Then, you cross multiply. 46 x 1 x 1000 is 46000, you're just moving the decimal point. 1 x 2.2 x 1 would stay the same, so you would have 46000 over 2.2.

Step-by-step explanation:

I took the test on edge :)