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Which sign makes the statement true? $\newline$ $62,300$ $?$ $6.23 \times 10^5$ $\newline$ 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

62,300

?

6.23 \times 10^5

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $62,300$ and $6.23 \times 10^5$ . We will convert both numbers to the same format to make the comparison easier.
Convert to scientific notation: Convert $62,300$ to scientific notation. $\newline$ $62,300$ can be written as $6.23 \times 10^4$ because we are moving the decimal point $4$ places to the left.
Compare exponents: Compare the exponents of the scientific notations. $\newline$ We have $6.23 \times 10^4$ and $6.23 \times 10^5$ . The base numbers ( $6.23$ ) are the same, so we only need to compare the exponents.
Determine larger number: Determine which number is larger based on the exponents. $\newline$ Since $10^5$ is greater than $10^4$ , $6.23 \times 10^5$ is greater than $6.23 \times 10^4$ .
Choose correct sign: Choose the correct sign. $\newline$ Therefore, the correct sign to make the statement true is ＂<＂ because $62,300$ ( $6.23 \times 10^4$ ) is less than $6.23 \times 10^5$ .

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