Which sign makes the statement true? 3.1 × 10^2 ? 3.1 × 10^1 Choices: (A)> (B)< (C)=

Identify Base Numbers: Identify the base numbers and their exponents in the given expressions. We have 3.1 × 10^2 and 3.1 × 10^1. The base number is the same (3.1) in both expressions, but the exponents are different (2 and 1).Compare Exponents: Compare the exponents to determine which expression is larger. Since the base numbers are the same, we only need to compare the exponents. The exponent 2 is greater than the exponent 1. Therefore, 10^2 is greater than 10^1.Conclude True Sign: Conclude which sign makes the statement true. Since 10^2 is greater than 10^1, it follows that 3.1 × 10^2 is greater than 3.1 × 10^1. Thus, the correct sign is ＂>＂.

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Which sign makes the statement true? $\newline$ $3.1 \times 10^2$ $\text{?}$ $3.1 \times 10^1$ $\newline$ 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

3.1 \times 10^2

\text{?}

3.1 \times 10^1

\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 $3.1 \times 10^2$ and $3.1 \times 10^1$ . $\newline$ The base number is the same ( $3.1$ ) in both expressions, but the exponents are different ( $2$ and $1$ ).
Compare Exponents: Compare the exponents to determine which expression is larger. $\newline$ Since the base numbers are the same, we only need to compare the exponents. $\newline$ The exponent $2$ is greater than the exponent $1$ . $\newline$ Therefore, $10^2$ is greater than $10^1$ .
Conclude True Sign: Conclude which sign makes the statement true. $\newline$ Since $10^2$ is greater than $10^1$ , it follows that $3.1 \times 10^2$ is greater than $3.1 \times 10^1$ . $\newline$ Thus, the correct sign is ＂>＂.