Which of the following is not a true statement?(1 point)%0D%0AResponses%0D%0A%0D%0A7 × 10−2%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A2%0D%0A is 1,000 times as great as 7 × 10−6%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A6%0D%0A 7 × 10−2%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A2%0D%0A is 1,000 times as great as 7 × 10−6%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A6%0D%0A%0D%0A9 × 10−4%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A4%0D%0A is 1,000 times as great as 9 × 10−7%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A7%0D%0A 9 × 10−4%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A4%0D%0A is 1,000 times as great as 9 × 10−7%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A7%0D%0A%0D%0A2 × 106%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A6%0D%0A is 10 times as great as 2 × 105%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A5%0D%0A 2 × 106%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A6%0D%0A is 10 times as great as 2 × 105%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A5%0D%0A%0D%0A4 × 108%0D%0A4%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A8%0D%0A is 100 times as great as 4 × 106

Question

Which of the following is not a true statement?(1 point)%0D%0AResponses%0D%0A%0D%0A7 × 10−2%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A2%0D%0A is 1,000 times as great as 7 × 10−6%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A6%0D%0A  7 × 10−2%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A2%0D%0A   is 1,000 times as great as   7 × 10−6%0D%0A7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A6%0D%0A%0D%0A9 × 10−4%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A4%0D%0A is 1,000 times as great as 9 × 10−7%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A7%0D%0A  9 × 10−4%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A4%0D%0A   is 1,000 times as great as   9 × 10−7%0D%0A9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A7%0D%0A%0D%0A2 × 106%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A6%0D%0A is 10 times as great as 2 × 105%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A5%0D%0A  2 × 106%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A6%0D%0A   is 10 times as great as   2 × 105%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A5%0D%0A%0D%0A4 × 108%0D%0A4%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A8%0D%0A is 100 times as great as 4 × 106

GPT-4o mini · Answer

To determine which statement is not true, let's evaluate each statement one at a time.

Statement: \( 7 \times 10^{-2} \) is 1,000 times as great as \( 7 \times 10^{-6} \)

To check this: \[ 7 \times 10^{-2} = 7 \times 10^{-2} \] and \[ 1000 \times (7 \times 10^{-6}) = 7 \times 10^{-3}. \] Since \( 7 \times 10^{-2} \) is not equal to \( 7 \times 10^{-3} \), this statement is false.
Statement: \( 9 \times 10^{-4} \) is 1,000 times as great as \( 9 \times 10^{-7} \)

\[ 1000 \times (9 \times 10^{-7}) = 9 \times 10^{-4}. \] This statement is true.
Statement: \( 2 \times 10^{6} \) is 10 times as great as \( 2 \times 10^{5} \)

\[ 10 \times (2 \times 10^{5}) = 2 \times 10^{6}. \] This statement is true.
Statement: \( 4 \times 10^{8} \) is 100 times as great as \( 4 \times 10^{6} \)

\[ 100 \times (4 \times 10^{6}) = 4 \times 10^{8}. \] This statement is true.

Based on this analysis, the statement that is not true is:

\( 7 \times 10^{-2} \) is 1,000 times as great as \( 7 \times 10^{-6} \).