Which sign makes the statement true? 2.02 × 10^4 ? 2,020 Choices: (A)> (B)< (C)=

Express in Scientific Notation: We have 2.02 × 10^4 and 2,020. First, let's express 2,020 in scientific notation to compare it easily with 2.02 × 10^4. 2,020 can be written as 2.02 × 10^3 because 2.02 times 10 to the power of 3 equals 2,020.Compare Exponents: Now we compare 2.02 × 10^4 with 2.02 × 10^3. Since the base numbers (2.02) are the same, we only need to compare the exponents of 10. The exponent in 2.02 × 10^4 is 4, and the exponent in 2.02 × 10^3 is 3. 4 is greater than 3. Therefore, 2.02 × 10^4 is greater than 2.02 × 10^3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which sign makes the statement true? $\newline$ $2.02 \times 10^4$ $\text{?}$ $2,020$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

View step-by-step help

Home

Math Problems

Grade 8

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

2.02 \times 10^4

\text{?}

2,020

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Express in Scientific Notation: We have $2.02 \times 10^4$ and $2,020$ . $\newline$ First, let's express $2,020$ in scientific notation to compare it easily with $2.02 \times 10^4$ . $\newline$ $2,020$ can be written as $2.02 \times 10^3$ because $2.02$ times $10$ to the power of $3$ equals $2,020$ .
Compare Exponents: Now we compare $2.02 \times 10^4$ with $2.02 \times 10^3$ . Since the base numbers ( $2.02$ ) are the same, we only need to compare the exponents of $10$ . The exponent in $2.02 \times 10^4$ is $4$ , and the exponent in $2.02 \times 10^3$ is $3$ . $4$ is greater than $3$ . Therefore, $2.02 \times 10^4$ is greater than $2.02 \times 10^3$ .