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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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Compare numbers written in scientific notation

Full solution

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, $9.72 \times 10^3 > 9.72 \times 10^2$ .

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