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
2 × 106 is 10 times as great as 2 × 105 is not a true statement.
The statement that is not true is:
2 × 106 is 10 times as great as 2 × 105
To determine which of the statements is not true, we need to compare the values on both sides of the equation and see if they are equivalent.
Let's examine each statement:
1. 7 × 10^−2 is 1,000 times as great as 7 × 10^−6:
To solve this, we can rewrite both numbers in standard decimal notation:
7 × 10^−2 = 0.07
7 × 10^−6 = 0.000007
Now, let's check if 0.07 is indeed 1,000 times as great as 0.000007:
0.07 / 0.000007 = 10,000
Since 10,000 is not equal to 1,000, this statement is not true.
2. 4 × 10^8 is 100 times as great as 4 × 10^6:
Again, let's convert the numbers to decimal form:
4 × 10^8 = 400,000,000
4 × 10^6 = 4,000,000
Now, compare the values:
400,000,000 / 4,000,000 = 100
Since 100 is indeed equal to 100, this statement is true.
3. 9 × 10^−4 is 1,000 times as great as 9 × 10^−7:
Convert to decimal notation:
9 × 10^−4 = 0.0009
9 × 10^−7 = 0.0000009
Check if 0.0009 is equal to 1,000 times 0.0000009:
0.0009 / 0.0000009 = 1,000
Since 1,000 is equal to 1,000, this statement is true.
4. 2 × 10^6 is 10 times as great as 2 × 10^5:
Convert to decimal form:
2 × 10^6 = 2,000,000
2 × 10^5 = 200,000
Compare the values:
2,000,000 / 200,000 = 10
Since 10 is indeed equal to 10, this statement is true.
The statement that is not true is the first one:
7 × 10^-2 is not 1,000 times as great as 7 × 10^-6.