Question

A student converts grams to milligrams by multiplying by the conversion factor 1g/1000 mg. Is the student performing this calculation correctly?

Answer 1

Solution:

we are given that

Student converts grams to milligrams by multiplying by the conversion factor 1g/1000 mg.

we have been asked to find Is the student performing this calculation correctly?

Suppose you have x grams of  something and convert it into mg as follows:

As we know that

$1gram=1000mg$

So we can write

$xgram=xgram*1=xg*\frac{1000mg}{1g}=1000x$ mg

It mean that conversion factor is $\frac{1000mg}{1g}$

It mean student doesn't performed the calculations correctly.