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

1 answer

To multiply \(-1.7\) by \(212\), we first perform the multiplication:

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

Next, we need to convert \(-360.4\) into a mixed number.

  1. Separate the whole number and the decimal: \(-360.4\) can be split into the whole number part and the decimal part:

    • Whole number part: \(-360\)
    • Decimal part: \(0.4\)
  2. Convert the decimal part into a fraction: The decimal \(0.4\) is equal to \(\frac{4}{10}\). This fraction can be simplified: \[ \frac{4}{10} = \frac{2}{5} \]

  3. Combine the whole number and the fraction: Therefore, we can write \(-360.4\) as: \[ -360 \frac{2}{5} \]

  4. Final answer: The answer in mixed number form is: \[ -360 \frac{2}{5} \]

Thus, \(-1.7 \times 212\) can be expressed as \(-360 \frac{2}{5}\).