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Which sign makes the statement true? $\newline$ $7.75 \times 10^1$ $\text{?}$ $7.75 \times 10^2$ $\newline$ 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

7.75 \times 10^1

\text{?}

7.75 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Exponents Comparison: We have $7.75 \times 10^1$ and $7.75 \times 10^2$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $1$ and $2$ . $\newline$ Both exponents are different.
Different Exponents: Exponents are different. $\newline$ Which sign makes the statement true? $\newline$ $7.75 \times 10^1$ ____ $7.75 \times 10^2$ $\newline$ Compare the exponents because they are different. $\newline$ Exponents are $1$ and $2$ . $\newline$ $1 < 2$ $\newline$ $7.75 \times 10^1 < 7.75 \times 10^2$ .

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