Which sign makes the statement true? 6.5 × 10^4 ? 5.6 × 10^4 Choices: (A)> (B)< (C)=

Compare Coefficients: Compare the coefficients of the two expressions. We have 6.5 and 5.6 as coefficients. Since 6.5 is greater than 5.6, we can say that 6.5 × 10^4 is greater than 5.6 × 10^4 if the powers of 10 are the same.Compare Powers: Compare the powers of 10. Both expressions have the same power of 10, which is 10^4. This means that the comparison of the coefficients directly determines the comparison of the entire expressions.Choose Correct Sign: Choose the correct sign based on the comparison. Since 6.5 is greater than 5.6, and the powers of 10 are the same, the correct sign to make the statement true is '>'.

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Which sign makes the statement true? $\newline$ $6.5 \times 10^4$ $\text{?}$ $5.6 \times 10^4$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 7

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

6.5 \times 10^4

\text{?}

5.6 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Compare Coefficients: Compare the coefficients of the two expressions. $\newline$ We have $6.5$ and $5.6$ as coefficients. Since $6.5$ is greater than $5.6$ , we can say that $6.5 \times 10^4$ is greater than $5.6 \times 10^4$ if the powers of $10$ are the same.
Compare Powers: Compare the powers of $10$ . Both expressions have the same power of $10$ , which is $10^4$ . This means that the comparison of the coefficients directly determines the comparison of the entire expressions.
Choose Correct Sign: Choose the correct sign based on the comparison. $\newline$ Since $6.5$ is greater than $5.6$ , and the powers of $10$ are the same, the correct sign to make the statement true is '>'.