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) $=$

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 ＂ $>$ ＂.