The value of the 1 in 3,462.15 is 1/10 of the value of the 1 in which number?

A.
2,681.57
B.
5,316.24
C.
6,745.91
D.
3,152.07

1 answer

To find the number where the value of the digit '1' is ten times the value of the '1' in 3,462.15, we first determine the value of the '1' in 3,462.15.

The '1' is in the hundredths place, where its value is \(1/100 = 0.01\).

Since we are looking for a number where the digit '1' has a value that is \(1/10\) of this, we need the value of '1' to be:

\[ 0.01 \times 10 = 0.1 \]

Now, for '1' to have a value of \(0.1\), it must be in the tenths place (which is \(1/10\)).

Now, we need to find which of the provided options has '1' located in the tenths place:

A. 2,681.57 → 1 is in the units place (value = 1)
B. 5,316.24 → 1 is in the thousands place (value = 1,000)
C. 6,745.91 → 1 is in the hundredths place (value = 0.01)
D. 3,152.07 → 1 is in the tenths place (value = 0.1)

Thus, the correct choice is:

D. 3,152.07