Which sign makes the statement true? 460 ? 6.4 × 10^1 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 460 and 6.4 × 10^1. We need to determine which mathematical sign (>, .

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Which sign makes the statement true? $\newline$ $460 \, ? \, 6.4 \times 10^1$ $\newline$ 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

460 \, ? \, 6.4 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $460$ and $6.4 \times 10^1$ . We need to determine which mathematical sign (>, <, or $=$ ) correctly represents the relationship between these two numbers.
Convert to standard form: Convert the scientific notation to standard form. $6.4 \times 10^1$ means $6.4$ times $10$ to the power of $1$ , which is simply $6.4$ times $10$ . $6.4 \times 10 = 64$
Compare the numbers: Compare the two numbers. $\newline$ Now we compare $460$ and $64$ . $\newline$ $460$ is greater than $64$ . $\newline$ So, the correct sign is >.