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Which sign makes the statement true? $\newline$ $2.3 \times 10^2$ $?$ $4.30 \times 10^2$ $\newline$ 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

2.3 \times 10^2

?

4.30 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Exponents Comparison: We have $2.3 \times 10^2$ and $4.30 \times 10^2$ . Are the exponents the same or different? $\newline$ Exponents are both $2$ . $\newline$ Both exponents are the same.
Coefficient Comparison: Since the exponents are the same, we can compare the coefficients directly. $\newline$ $2.3$ ____ $4.30$ $\newline$ Which number is greater? $\newline$ $2.3 < 4.30$
Final Inequality: Since $2.3$ is less than $4.30$ , the correct inequality sign is ＂ $<$ ＂. $\newline$ $2.3 \times 10^2 < 4.30 \times 10^2$

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