Which sign makes the statement true? 4.8 × 10^5 ? 48,000 Choices: (A)> (B)< (C)=

Express in Scientific Notation: We have 4.8 × 10^5 and 48,000. First, let's express 48,000 in scientific notation to easily compare it with 4.8 × 10^5. 48,000 = 4.8 × 10^4Compare Exponents: Now we compare 4.8 × 10^5 with 4.8 × 10^4. Since the base number 4.8 is the same in both expressions, we only need to compare the exponents to determine which is larger. 5 > 4 Therefore, 4.8 × 10^5 > 4.8 × 10^4.Replace and Compare: Since 48,000 is equal to 4.8 × 10^4, we can now replace it in the original comparison. Which sign makes the statement true? 4.8 × 10^5 ? 48,000 Now we know that: 4.8 × 10^5 > 4.8 × 10^4 So, the correct sign is ＂>＂.

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Which sign makes the statement true? $\newline$ $4.8 \times 10^5$ $\text{?}$ $48,000$ $\newline$ 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

4.8 \times 10^5

\text{?}

48,000

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Express in Scientific Notation: We have $4.8 \times 10^5$ and $48,000$ . $\newline$ First, let's express $48,000$ in scientific notation to easily compare it with $4.8 \times 10^5$ . $\newline$ $48,000 = 4.8 \times 10^4$
Compare Exponents: Now we compare $4.8 \times 10^5$ with $4.8 \times 10^4$ . Since the base number $4.8$ is the same in both expressions, we only need to compare the exponents to determine which is larger. 5 > 4 Therefore, 4.8 \times 10^5 > 4.8 \times 10^4.
Replace and Compare: Since $48,000$ is equal to $4.8 \times 10^4$ , we can now replace it in the original comparison. $\newline$ Which sign makes the statement true? $\newline$ $4.8 \times 10^5 \, ? \, 48,000$ $\newline$ Now we know that: $\newline$ 4.8 \times 10^5 > 4.8 \times 10^4 $\newline$ So, the correct sign is ＂>＂.