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Which sign makes the statement true? $\newline$ $8.1 \times 10^1$ $?$ $8.12 \times 10^1$ $\newline$ 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

8.1 \times 10^1

?

8.12 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Exponents Comparison: We have: $\newline$ $8.1 \times 10^1$ and $8.12 \times 10^1$ $\newline$ 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. $\newline$ 8.1 \, ____ \, 8.12 $\newline$ Which sign makes the statement true? $\newline$ Compare the coefficients because the exponents are the same. $\newline$ $8.1 < 8.12$ $\newline$ $8.1 \times 10^1 < 8.12 \times 10^1$

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