Question

Multiply −17×(−61) .

Answer 1

Multiply −1.7 by 212 . Write the answer as a mixed number in simplest form.

Answer 2

To multiply \(-17\) and \(-61\), you can use the rule that multiplying two negative numbers results in a positive number.

So:

\[
-17 \times -61 = 17 \times 61
\]

Now, let's calculate \(17 \times 61\):

\[
17 \times 61 = 1037
\]

Therefore,

\[
-17 \times -61 = 1037
\]

The final answer is \(1037\).

Answer 3

To multiply \(-1.7\) by \(212\):

\[
-1.7 \times 212 = -360.4
\]

Next, we need to express \(-360.4\) as a mixed number.

First, we can separate the whole number part from the decimal:

\(-360.4\) consists of:
- Whole number part: \(-360\)
- Decimal part: \(-0.4\)

Now, to express \(-0.4\) as a fraction:
\(-0.4 = -\frac{4}{10} = -\frac{2}{5}\) (simplifying by dividing the numerator and denominator by 2)

Combining all parts, we have:

\[
-360.4 = -360 - \frac{2}{5} = -360 \frac{2}{5}
\]

So the expression can be written as:

\[
-360 \frac{2}{5}
\]

Thus, \(-1.7\) multiplied by \(212\) gives:

\[
\boxed{-360 \frac{2}{5}}
\]