Which sign makes the statement true? 5.79 × 10^3 ? 5.79 × 10^1 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 5.79 × 10^3 and 5.79 × 10^1. We will do this by converting each expression to its decimal form.Convert to decimal form: Convert 5.79 × 10^3 to its decimal form. 5.79 × 10^3 means that we move the decimal point in 5.79 three places to the right. So, 5.79 × 10^3 = 5790.Compare the two numbers: Convert 5.79 × 10^1 to its decimal form. 5.79 × 10^1 means that we move the decimal point in 5.79 one place to the right. So, 5.79 × 10^1 = 57.9.Choose the correct sign: Compare the two numbers. Now we compare 5790 (from Step 2) and 57.9 (from Step 3). It is clear that 5790 is greater than 57.9.Choose the correct sign. Since 5790 is greater than 57.9, the correct sign to make the statement true is ＂>＂.

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Math Problems

Grade 7

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

5.79 \times 10^{3} \,?\, 5.79 \times 10^{1}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $5.79 \times 10^3$ and $5.79 \times 10^1$ . We will do this by converting each expression to its decimal form.
Convert to decimal form: Convert $5.79 \times 10^3$ to its decimal form. $\newline$ $5.79 \times 10^3$ means that we move the decimal point in $5.79$ three places to the right. So, $5.79 \times 10^3 = 5790$ .
Compare the two numbers: Convert $5.79 \times 10^1$ to its decimal form. $\newline$ $5.79 \times 10^1$ means that we move the decimal point in $5.79$ one place to the right. So, $5.79 \times 10^1 = 57.9$ .
Choose the correct sign: Compare the two numbers. $\newline$ Now we compare $5790$ (from Step $2$ ) and $57.9$ (from Step $3$ ). It is clear that $5790$ is greater than $57.9$ .
Choose the correct sign: Compare the two numbers. $\newline$ Now we compare $5790$ (from Step $2$ ) and $57.9$ (from Step $3$ ). It is clear that $5790$ is greater than $57.9$ .Choose the correct sign. $\newline$ Since $5790$ is greater than $57.9$ , the correct sign to make the statement true is ＂>＂.