Question

Eli is multiplying 8×7×1/100×1/10. What decimal multiplication problem is he solving?

Answer 1

Eli is multiplying \( 8 \times 7 \times \frac{1}{100} \times \frac{1}{10} \).

To rewrite this as a decimal multiplication problem, we can first convert the fractions into their decimal equivalents:

\[
\frac{1}{100} = 0.01 \quad \text{and} \quad \frac{1}{10} = 0.1
\]

Now, we can rewrite the expression:

\[
8 \times 7 \times 0.01 \times 0.1
\]

Next, we can calculate \( 8 \times 7 \):

\[
8 \times 7 = 56
\]

So, we can substitute that back into the expression:

\[
56 \times 0.01 \times 0.1
\]

Now, we can multiply \( 0.01 \times 0.1 \):

\[
0.01 \times 0.1 = 0.001
\]

Finally, we can multiply \( 56 \) by \( 0.001 \):

\[
56 \times 0.001 = 0.056
\]

Thus, the decimal multiplication problem Eli is solving can be expressed as:

\[
56 \times 0.01 \times 0.1
\]

Which leads to the final result:

\[
0.056
\]

Therefore, Eli is solving the problem \( 56 \times 0.01 \times 0.1 = 0.056 \).