Which sign makes the statement true? 4.36 × 10^2 ? 4.36 × 10^4 Choices: (A)> (B)< (C)=

Identify values: Step 1: Identify the values given in the problem. We have 4.36 × 10^2 and 4.36 × 10^4. The base numbers are the same, but the exponents are different, 2 and 4 respectively.Compare exponents: Step 2: Compare the exponents. Since 2 < 4, we know that 10^2 is less than 10^4. This means that 4.36 × 10^2 is less than 4.36 × 10^4.Choose correct sign: Step 3: Choose the correct sign based on the comparison. 4.36 × 10^2 < 4.36 × 10^4, so the correct sign is <.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which sign makes the statement true? $\newline$ $4.36 \times 10^2 \,?\, 4.36 \times 10^4$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

View step-by-step help

Home

Math Problems

Algebra 1

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

4.36 \times 10^2 \,?\, 4.36 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Identify values: Step $1$ : Identify the values given in the problem. $\newline$ We have $4.36 \times 10^2$ and $4.36 \times 10^4$ . The base numbers are the same, but the exponents are different, $2$ and $4$ respectively.
Compare exponents: Step $2$ : Compare the exponents. $\newline$ Since 2 < 4, we know that $10^2$ is less than $10^4$ . This means that $4.36 \times 10^2$ is less than $4.36 \times 10^4$ .
Choose correct sign: Step $3$ : Choose the correct sign based on the comparison. $\newline$ 4.36 \times 10^2 < 4.36 \times 10^4, so the correct sign is <.