Explain in one concrete way and with sufficient detail why t

Explain in one concrete way, and with sufficient detail, why the movement of the decimal point in the standard procedure for dividing the following is valid. 13.2 divided by 0.08

Solution

We want to know how many 0.6 mile are in 4.2 miles.
Find 4.2 ÷ 0.6.

Change the divisor to a whole number by mentally multiplying the divisor by a power of 10. Then multiply the dividend by the same power of 10 so the quotient will stay the same. As shown below, this mental math is accomplished by moving the decimal point one place to the right in the divisor and one place to the right in the dividend. Complete the division.

In the same way

13.2/.08

(132/8)*(100/10)

=

165