Question

Frank reasoned that in the number 0.555 the value of the 5 in the thousandths place is ten times as great as the 5 in the hundredths place. Is he correct? Explain

Answer 1

Yes , Frank is right

Explanation:

5 in the thousandth place = 5*1/1000

= 5/1000

= 1/ 500

5 in the hundredth place = 5*1/100

= 5/100

= 1/50

Let value of 5 in the hundredth place = 1/50

1/50 * 10 = 1/500

Alternatively, yo can find the ratio

Ratio of 5 in the thousandth place to 5 in the hundredth place

= 1/500 ÷ 1/50

= 1/500 × 50/1

= 50/500

= 1/10

5 in the thousandth place : 5 in the hundredth place = 1:10

Therefore, value of the 5 in the thousandths place is ten times as great as the 5 in the hundredths place.