Question

If 81 ⋅ 432 = 34,992 , what is 8.1 × 4.32 ?(1 point)
Responses

3.4992
3.4992

34,992
34,992

34.992
34.992

349.92
349.92

Answer 1

To find the value of \( 8.1 \times 4.32 \), we can use the relationship between the multiplication of the numbers.

Since \( 81 \times 432 = 34,992 \), we can express \( 8.1 \) and \( 4.32 \) in terms of \( 81 \) and \( 432 \):

\[
8.1 = \frac{81}{10}
\]
\[
4.32 = \frac{432}{100}
\]

Now, we calculate \( 8.1 \times 4.32 \):

\[
8.1 \times 4.32 = \left( \frac{81}{10} \right) \times \left( \frac{432}{100} \right) = \frac{81 \times 432}{10 \times 100} = \frac{34,992}{1000}
\]

Now, calculate \( \frac{34,992}{1000} \):

\[
\frac{34,992}{1000} = 34.992
\]

Therefore, the answer is:

**34.992**