Question

Explain why you can move the decimal point in the divisor to the right so long as you also move the decimal point in the Dividend the same number of places to the right

Answer 1

You can move the decimal point in the divisor to the right so long as you also move the decimal point in the Dividend the same number of places to the right as it is same as multiplying a power of 10 to both the numerator and the denominator

Explanation:

Lets consider an example where the dividend is 2.31 and the divisor is 1.1. Hence the resulting fraction would be:
`(2.31)/(1.1)`

If we move the decimal point 1 place to the right in 2.31 and 1.1 it is same as multiplying 10 to both of them. Hence the resulting fraction would be:
`(2.31* 10)/(1.1* 10)`

Hence if we keep moving n places it will be :
`(2.31)/(1.1)` =
`(2.31* 10)/(1.1* 10)` =
`(2.31* 10^(n))/(1.1* 10^(n))` = 2.1

Because if we multiply the same number to the numerator and the denominator, the fraction remains the same

Answer 2

Explanation:

Consider 1.4/1.5

By dividing the numerator & denominator by 10

`(1.4*10)/(1.5*10)` =
`(14)/(15)`

which never changes the value of
`(1.4)/(1.5)`