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Which sign makes the statement true? $\newline$ $4.16 \times 10^5$ $\text{?}$ $4.16 \times 10^4$ $\newline$ 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

4.16 \times 10^5

\text{?}

4.16 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Exponents Comparison: We have: $\newline$ $4.16 \times 10^5$ and $4.16 \times 10^4$ $\newline$ Are the exponents the same or different? $\newline$ Exponents are $5$ and $4$ . $\newline$ Both exponents are different.
Different Exponents: Exponents are different. $\newline$ $4.16 \times 10^5$ ____ $4.16 \times 10^4$ $\newline$ Which sign makes the statement true? $\newline$ Compare the exponents because they are different. $\newline$ $5 > 4$ $\newline$ $4.16 \times 10^5 > 4.16 \times 10^4$

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