Which sign makes the statement true? 9.72 × 10^3 ? 9.72 × 10^2 Choices: (A)> (B)< (C)=

Identify Base Numbers: Identify the base numbers and their exponents in the given expressions. We have 9.72 × 10^3 and 9.72 × 10^2. The base number is the same (9.72) in both expressions, but the exponents are different (3 and 2).Compare Exponents: Compare the exponents to determine the relationship between the two expressions. Since the base numbers are the same, we only need to compare the exponents to determine which expression is larger. Exponent 3 is greater than exponent 2 (3 > 2). Therefore, 9.72 × 10^3 is greater than 9.72 × 10^2.Choose Correct Sign: Choose the correct sign based on the comparison of exponents. Since 9.72 × 10^3 is greater than 9.72 × 10^2, the correct sign to make the statement true is ＂>＂. So, 9.72 × 10^3 > 9.72 × 10^2.

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Which sign makes the statement true? $\newline$ $9.72 \times 10^3$ $\text{?}$ $9.72 \times 10^2$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

9.72 \times 10^3

\text{?}

9.72 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Identify Base Numbers: Identify the base numbers and their exponents in the given expressions. $\newline$ We have $9.72 \times 10^3$ and $9.72 \times 10^2$ . $\newline$ The base number is the same ( $9.72$ ) in both expressions, but the exponents are different ( $3$ and $2$ ).
Compare Exponents: Compare the exponents to determine the relationship between the two expressions. $\newline$ Since the base numbers are the same, we only need to compare the exponents to determine which expression is larger. $\newline$ Exponent $3$ is greater than exponent $2$ (3 > 2). $\newline$ Therefore, $9.72 \times 10^3$ is greater than $9.72 \times 10^2$ .
Choose Correct Sign: Choose the correct sign based on the comparison of exponents. $\newline$ Since $9.72 \times 10^3$ is greater than $9.72 \times 10^2$ , the correct sign to make the statement true is ＂>＂. $\newline$ So, 9.72 \times 10^3 > 9.72 \times 10^2.