Select all of the true statements. $\newline$ Multi-select Choices: $\newline$ (A) $7 \times 10^{-3}$ is $3.5$ times as much as $2 \times 10^{-4}$ . $\newline$ (B) $4 \times 10^{-7}$ is $0.01$ times as much as $4 \times 10^{-5}$ . $\newline$ (C) $9 \times 10^{1}$ is $3,000$ times as much as $3 \times 10^{-2}$ . $\newline$ (D) $8 \times 10^{4}$ is $3.5$ $0$ times as much as $3.5$ $1$ .

Full solution

Q. Select all of the true statements.

\newline

Multi-select Choices:

\newline

(A)

7 \times 10^{-3}

3.5

times as much as

2 \times 10^{-4}

\newline

(B)

4 \times 10^{-7}

0.01

times as much as

4 \times 10^{-5}

\newline

(C)

9 \times 10^{1}

3,000

times as much as

3 \times 10^{-2}

\newline

(D)

8 \times 10^{4}

3.5

0

times as much as

3.5

1

Question Prompt: Question prompt: Determine which of the given statements are true.
Statement (A) Comparison: For statement (A), compare $7 \times 10^{-3}$ and $2 \times 10^{-4}$ . To see if $7 \times 10^{-3}$ is $3.5$ times $2 \times 10^{-4}$ , calculate $3.5 \times 2 \times 10^{-4}$ . $\newline$ $3.5 \times 2 \times 10^{-4} = 7 \times 10^{-4}$ . $\newline$ Since $7 \times 10^{-4}$ is not equal to $7 \times 10^{-3}$ , statement (A) is false.
Statement (B) Comparison: For statement (B), compare $4 \times 10^{-7}$ and $4 \times 10^{-5}$ . To see if $4 \times 10^{-7}$ is $0.01$ times $4 \times 10^{-5}$ , calculate $0.01 \times 4 \times 10^{-5}$ . $\newline$ $0.01 \times 4 \times 10^{-5} = 4 \times 10^{-7}$ . $\newline$ Since $4 \times 10^{-7}$ is equal to $0.01$ times $4 \times 10^{-5}$ , statement (B) is true.
Statement (C) Comparison: For statement (C), compare $9 \times 10^1$ and $3 \times 10^{-2}$ . To see if $9 \times 10^1$ is $3,000$ times $3 \times 10^{-2}$ , calculate $3,000 \times 3 \times 10^{-2}$ . $\newline$ $3,000 \times 3 \times 10^{-2} = 9 \times 10^1$ . $\newline$ Since $9 \times 10^1$ is not equal to $3,000$ times $3 \times 10^{-2}$ , statement (C) is false.