The value of the 4 in 324.18 is 1/10 of the value of the 4 in which number?

A.
567.48
B.
796.14
C.
476.52
D.
143.25

1 answer

The value of the 4 in 324.18 is in the tenths place, which is \(4 \times \frac{1}{10} = 0.4\).

To find a number where the value of the 4 is 10 times greater, we need to find the number in which 4 is in the ones place (or 1's place), where its value would be \(4\).

Now, let's check each option to see if any number contains 4 in the ones place:

A. 567.48 - The 4 is in the hundredths place (value = 0.04) B. 796.14 - The 4 is in the tenths place (value = 0.4) C. 476.52 - The 4 is in the hundreds place (value = 400) D. 143.25 - The 4 is in the tens place (value = 40)

Since we need a number where the 4 represents a value of 4 (in the ones place), we see that only C (476.52) has a 4 that can represent \(4\) as the value of the digit in the hundreds place.

Thus, the answer is:

C. 476.52