Which sign makes the statement true? 257 ? 2.57 × 10^4 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 257 and 2.57 × 10^4. To do this, we should express both numbers with the same base or in the same format to make the comparison easier.Convert to standard form: Convert 2.57 × 10^4 to standard form. 2.57 × 10^4 means that we move the decimal point in 2.57 four places to the right, which gives us 25700.Compare the two numbers: Compare the two numbers. Now we have 257 and 25700. It is clear that 257 is less than 25700.Choose the correct sign: Choose the correct sign. Since 257 is less than 25700, the correct sign is ＂<＂.

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Which sign makes the statement true? $\newline$ $257 \, ? \, 2.57 \times 10^{4}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

257 \, ? \, 2.57 \times 10^{4}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $257$ and $2.57 \times 10^4$ . To do this, we should express both numbers with the same base or in the same format to make the comparison easier.
Convert to standard form: Convert $2.57 \times 10^4$ to standard form. $\newline$ $2.57 \times 10^4$ means that we move the decimal point in $2.57$ four places to the right, which gives us $25700$ .
Compare the two numbers: Compare the two numbers. $\newline$ Now we have $257$ and $25700$ . It is clear that $257$ is less than $25700$ .
Choose the correct sign: Choose the correct sign. $\newline$ Since $257$ is less than $25700$ , the correct sign is ＂<＂.