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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 \(1037\).
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:
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:
\[ \boxed{-360 \frac{2}{5}} \]
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