Ted is asked to multiply #10^2 times 18.72#. How should he move the decimal point to get the correct product?

1 Answer
Nov 9, 2016

#10^2xx18.72=1872#

Explanation:

As here we have a decimal system

each multiplication will increase the number #10# times

i.e. move the decimal point one place - for example multiplying #18.72# by #10# will move the decimal point to right (note that moving to left will reduce the number, but multiplying increases it) by one point and make it #187.2#.

But here we have #10^2xx18.72=10xx10xx18.72# i.e. we are multiplig it by #10# twice. Hence we move the decimal point two places to the right.

Hence, #10^2xx18.72=1872#