Questions: Write -2.7 as a mixed number.

Write -2.7 as a mixed number.
Transcript text: Write -2.7 as a mixed number.
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Solution

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Solution Steps

To convert the decimal -2.7 to a mixed number, we need to separate the integer part from the fractional part. The integer part is -2, and the fractional part is 0.7. We then convert the fractional part to a fraction by expressing 0.7 as 7/10. Combining these, we get the mixed number -2 7/10.

Step 1: Identify the Integer and Fractional Parts

Given the decimal number \( -2.7 \), we separate it into its integer part and fractional part. The integer part is \( -2 \) and the fractional part is \( -0.7 \).

Step 2: Convert the Fractional Part to a Fraction

The fractional part \( -0.7 \) can be expressed as a fraction. We convert \( -0.7 \) to \( \frac{-7}{10} \).

Step 3: Combine the Parts into a Mixed Number

Combining the integer part and the fractional part, we express the mixed number as: \[ -2 \frac{-7}{10} \] This can also be written as: \[ -2 - \frac{7}{10} \]

Final Answer

The mixed number representation of \( -2.7 \) is: \[ \boxed{-2 - \frac{7}{10}} \]

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