Question

When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?

Answer 1

Answer:

When multiplying a number by 10, move the decimal to the right. Whenever a number is multiplied by 10, the decimal is shifted to one place in the right.

Like : $7.36\times10=73.6$

When multiplying a number by 0.1, move the decimal to the left. This means the number is multiplied by $\frac{1}{10}$ or we can say the number is simply divided by 10.

So, when a number is divided by 10, the decimal is shifted to one place on the left.

Like : $44.56\times0.1=4.456$

or $\frac{44.56}{10}=4.456$

Answer 2

Because the your product will become smaller when multiplying by numbers less than 1