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Which sign makes the statement true? $\newline$ $1.8 \times 10^4$ $?$ $1.18 \times 10^4$ $\newline$ 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

1.8 \times 10^4

?

1.18 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Identify Exponents: We have: $\newline$ $1.8 \times 10^4$ and $1.18 \times 10^4$ $\newline$ Are the exponents the same or different? $\newline$ Exponents are both $4$ . $\newline$ Both exponents are the same.
Compare Coefficients: Since the exponents are the same, we can compare the coefficients directly. $\newline$ 1.8 \, ____ \, 1.18 $\newline$ Which sign makes the statement true? $\newline$ Compare the coefficients because the exponents are the same. $\newline$ $1.8 > 1.18$ $\newline$ $1.8 \times 10^4 > 1.18 \times 10^4$

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