Which sign makes the statement true? 50,000 ? 5.0 × 10^2 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 50,000 and 5.0 × 10^2. We want to find out if 50,000 is greater than, less than, or equal to 5.0 × 10^2.Convert to standard form: Convert 5.0 × 10^2 to standard form. 5.0 × 10^2 means 5.0 times 10 squared. 10 squared is 10 × 10, which equals 100. So, 5.0 × 10^2 is 5.0 times 100, which equals 500.Compare the two numbers: Compare the two numbers. Now we compare 50,000 and 500. 50,000 is much larger than 500. Therefore, 50,000 > 500.Choose the correct sign: Choose the correct sign. The correct sign that makes the statement true is ＂>＂. So, 50,000 > 5.0 × 10^2.

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Which sign makes the statement true? $\newline$ $50,000 \, ? \, 5.0 \times 10^2$ $\newline$ 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

50,000 \, ? \, 5.0 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $50,000$ and $5.0 \times 10^2$ . $\newline$ We want to find out if $50,000$ is greater than, less than, or equal to $5.0 \times 10^2$ .
Convert to standard form: Convert $5.0 \times 10^2$ to standard form. $\newline$ $5.0 \times 10^2$ means $5.0$ times $10$ squared. $\newline$ $10$ squared is $10 \times 10$ , which equals $100$ . $\newline$ So, $5.0 \times 10^2$ is $5.0$ times $100$ , which equals $5.0 \times 10^2$ $0$ .
Compare the two numbers: Compare the two numbers. $\newline$ Now we compare $50,000$ and $500$ . $\newline$ $50,000$ is much larger than $500$ . $\newline$ Therefore, 50,000 > 500.
Choose the correct sign: Choose the correct sign. $\newline$ The correct sign that makes the statement true is >. $\newline$ So, 50,000 > 5.0 \times 10^2.