Which sign makes the statement true? 7.8 × 10^3 ? 7.8 × 10^2 Choices: (A)> (B)< (C)=

Analyze expressions: Analyze the given expressions. We have 7.8 × 10^3 and 7.8 × 10^2. Are the exponents the same or different? Exponents are 3 and 2. Both exponents are different. Compare exponents: Compare the exponents. Since the base numbers (7.8) are the same, we only need to compare the exponents to determine the inequality. Exponents are 3 and 2. 3 > 2 Therefore, 7.8 × 10^3 > 7.8 × 10^2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which sign makes the statement true? $\newline$ $7.8 \times 10^3$ $\text{?}$ $7.8 \times 10^2$ $\newline$ 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

7.8 \times 10^3

\text{?}

7.8 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze expressions: Analyze the given expressions. $\newline$ We have $7.8 \times 10^3$ and $7.8 \times 10^2$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $3$ and $2$ . $\newline$ Both exponents are different.
Compare exponents: Compare the exponents. $\newline$ Since the base numbers $7.8$ are the same, we only need to compare the exponents to determine the inequality. $\newline$ Exponents are $3$ and $2$ . $\newline$ 3 > 2 $\newline$ Therefore, 7.8 \times 10^3 > 7.8 \times 10^2.