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: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 : [tex]7.36\times10=73.6[/tex]When multiplying a number by 0.1, move the decimal to the left. This means the number is multiplied by [tex]\frac{1}{10}[/tex] 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 : [tex]44.56\times0.1=4.456[/tex]or [tex]\frac{44.56}{10}=4.456[/tex]