Question

A box contains $5,00,000$ medicine tablets each weighing $50\text{mg.}$ What is the total weight of all the tablets in the box in grams and kilograms

Answer 1

It is given that there are $5,00,000$ medicine tablets in a box such that the weight of each tablet is $50\text{mg}$

This implies that the combined weight of $5,00,000$ tablets is

$5,00,000\times 50\text{mg}=2,50,00,000\text{mg}$

It is required to express the above weight in grams and kilograms.

Note that, $1\text{gram}=1000\text{mg}$

This implies that, $1\text{mg}=\frac{1}{1000}\text{grams}$

This gives, $25,000,000\text{mg}=\frac{25,000,000}{1000}\text{grams}=25,000\text{grams}$

Also, note that $1\text{kg}=1000\text{grams}$

This implies that, $1\text{gram}=\frac{1}{1000}\text{kg}$

This gives, $25,000\text{grams}=\frac{25,000}{1000}\text{kg}=25\text{kg}$

Thus the required total weight of medicines in the box is $25,000\text{grams}$ or $25\text{kg}$