Question

Explain why 45/100 is written as a decimal with a 4 in the tenths place and a 5 in the hundredths place

Answer 1

Since in the denominator, we have 100

Explanation:

Consider the place value chart .

Given number =
`(45)/(100)`

We need to explain why we can write it as 0.45 as shown in place value chart with 4 in the tenths place and 5 in the hundredths place .

In the given fraction
`(45)/(100)`, denominator is 100 , so we will shift decimal two places to the left of numerator 45 .

Number becomes 0.45

We know that first digit to the right of decimal point is basically tenths place and second digit to the right of decimal point is basically hundredths place .

So, we can write
`(45)/(100)` as 0.45

Answer 2

It is written as .45 because it is showing that it is in the hundredths. For example if you wanted to convert it back you would know that since the 5 is in the hundredths place you would have the fraction 45/100. It is in the hundredths place because it is over 10 but less then 100