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Which sign makes the statement true? $\newline$ $6.20 \times 10^2$ $\text{?}$ $6.20 \times 10^1$ $\newline$ 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

6.20 \times 10^2

\text{?}

6.20 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze Given Expressions: Analyze the given expressions. $\newline$ We have: $\newline$ $6.20 \times 10^2$ and $6.20 \times 10^1$ $\newline$ Are the exponents the same or different? $\newline$ Exponents are $2$ and $1$ . $\newline$ Both exponents are different.
Compare Exponents: Compare the exponents. $\newline$ Since the base numbers $6.20$ are the same, we can compare the exponents directly. $\newline$ $2 > 1$ $\newline$ This means that $6.20 \times 10^2$ is greater than $6.20 \times 10^1$ .
Choose Correct Sign: Choose the correct sign. $\newline$ $6.20 \times 10^2 > 6.20 \times 10^1$ $\newline$ The correct sign that makes the statement true is $>$ .

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