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Which sign makes the statement true? $\newline$ $6.5 \times 10^1$ $?$ $5.6 \times 10^1$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$ $\newline$

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Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

6.5 \times 10^1

?

5.6 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Exponents Comparison: We have $6.5 \times 10^1$ and $5.6 \times 10^1$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are both $1$ . $\newline$ Both exponents are the same.
Coefficient Comparison: Since the exponents are the same, we can compare the coefficients directly. $\newline$ Which sign makes the statement true? $\newline$ $6.5 \times 10^1$ ____ $5.6 \times 10^1$ $\newline$ Compare the coefficients because they are the same. $\newline$ Coefficients are $6.5$ and $5.6$ . $\newline$ $6.5 > 5.6$ $\newline$ $6.5 \times 10^1 > 5.6 \times 10^1$ .

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