Question

Complete the statement. The value of the 5 in 0.005 is _________ the value of the 5 in 0.05. (Hint: How much larger or smaller is 0.005 than 0.05?)

10 times
100 times
1/10 of
1/100 of

Answer 1

The value of the 5 in 0.005 is 1/10 the value of the 5 in 0.05 because it is in the thousandths place as opposed to the hundredths place.

Step-by-step explanation:

The value of the 5 in 0.005 is 1/10 the value of the 5 in 0.05. To see why this is the case, let's look at the place value of the digit 5 in each number:

• In 0.05, the 5 is in the hundredths place, which means its value is 5 x (1/100) or 0.05.
• In 0.005, the 5 is in the thousandths place, which means its value is 5 x (1/1000) or 0.005.

Since 1/1000 is 1/10 of 1/100, we can say that the value of the 5 in 0.005 is 1/10 of its value in 0.05.