Which of the following is not a true statement?(1 point)
Responses
7 × 10−2
is 1,000 times as great as 7 × 10−6
7 × 10−2
is 1,000 times as great as 7 × 10−6
4 × 108
is 100 times as great as 4 × 106
4 × 108
is 100 times as great as 4 × 106
9 × 10−4
is 1,000 times as great as 9 × 10−7
9 × 10−4
is 1,000 times as great as 9 × 10−7
2 × 106
is 10 times as great as 2 × 105
The statement that is not true is:
"2 × 10^6 is 10 times as great as 2 × 10^5"
The correct comparison would be:
2 × 10^6 is 10 times as great as 2 × 10^5
Here's why the other statements are true:
7 × 10^-2 is indeed 1,000 times as great as 7 × 10^-6 because:
7 × 10^-2 = 7 × 0.01
7 × 10^-6 = 7 × 0.000001
When you divide 7 × 10^-2 by 7 × 10^-6, you get (7 × 0.01) / (7 × 0.000001) = 10,000/1 = 10,000, which is 1,000 times larger.
4 × 10^8 is indeed 100 times as great as 4 × 10^6 because:
4 × 10^8 = 4 × 100,000,000
4 × 10^6 = 4 × 1,000,000
When you divide 4 × 10^8 by 4 × 10^6, you get (4 × 100,000,000) / (4 × 1,000,000) = 100/1 = 100, which is 100 times larger.
9 × 10^-4 is indeed 1,000 times as great as 9 × 10^-7 because:
9 × 10^-4 = 9 × 0.0001
9 × 10^-7 = 9 × 0.0000001
When you divide 9 × 10^-4 by 9 × 10^-7, you get (9 × 0.0001) / (9 × 0.0000001) = 1,000/1 = 1,000, which is 1,000 times larger.
Therefore, the incorrect statement is the last one, as it should state that 2 × 10^6 is 10 times as great as 2 × 10^5, not 10 times.