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Which of the following is not a true statement?(1 point) Responses 4 × 108 is 100 times as great as 4 × 106 4 × 108 is 100 times as great as 4 × 106 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 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

1 answer

Let's analyze each statement:

  1. 4 × 10^8 is 100 times as great as 4 × 10^6:

    • 4 × 10^8 = 4 × 100,000,000 = 400,000,000
    • 4 × 10^6 = 4 × 1,000,000 = 4,000,000
    • 400,000,000 / 4,000,000 = 100
    • This statement is true.

  2. 7 × 10^(−2) is 1,000 times as great as 7 × 10^(−6):

    • 7 × 10^(-2) = 0.07
    • 7 × 10^(-6) = 0.000007
    • 0.07 / 0.000007 ≈ 10,000
    • This statement is not true, as it is actually 10,000 times greater.

  3. 9 × 10^(−4) is 1,000 times as great as 9 × 10^(−7):

    • 9 × 10^(-4) = 0.0009
    • 9 × 10^(-7) = 0.0000009
    • 0.0009 / 0.0000009 = 1,000
    • This statement is true.

  4. 2 × 10^6 is 10 times as great as 2 × 10^5:

    • 2 × 10^6 = 2,000,000
    • 2 × 10^5 = 200,000
    • 2,000,000 / 200,000 = 10
    • This statement is true.

The statement that is not true is: 7 × 10^(−2) is 1,000 times as great as 7 × 10^(−6).