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Estimate. Which sign makes the statement true? $\newline$ $448 \div \frac{61}{6}$ $?$ $34$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) <

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Evaluate integers raised to rational exponents

Full solution

Q. Estimate. Which sign makes the statement true?

\newline

448 \div \frac{61}{6}

?

34

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

Convert to multiplication: Convert the division by a fraction to multiplication by its reciprocal. $448 \div \left(\frac{61}{6}\right) = 448 \times \left(\frac{6}{61}\right)$
Perform multiplication: Perform the multiplication to simplify. $448 \times \left(\frac{6}{61}\right) = \frac{2688}{61} \approx 44.07$
Compare with $34$ : Compare the result with $34$ . $\newline$ 44.07 > 34 $\newline$ Since $44.07$ is greater than $34$ , the correct sign is '>'.

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