Compare 7.6 × 10^−25 and 6.7 × 10^−52 . Which statement is true?(1 point)
Responses
7.6 × 10−25 > 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10−25 < 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is less than 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10−25 ≤ 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline
7.6 × 10−25 = 6.7 × 10−52
7.6 × 10−25 > 6.7 × 10−52
To compare the values 7.6 × 10^−25 and 6.7 × 10^−52, we need to compare the powers of 10 first.
The power of 10 in the first value, 7.6 × 10^−25, is -25.
The power of 10 in the second value, 6.7 × 10^−52, is -52.
Since -25 is greater than -52, we can conclude that 7.6 × 10^−25 is greater than 6.7 × 10^−52.
Therefore, the correct statement is:
7.6 × 10^−25 > 6.7 × 10^−52
To compare the numbers 7.6 × 10^−25 and 6.7 × 10^−52, we need to compare the values of the exponents.
The exponent represents the power of 10, so a larger exponent means a smaller number, while a smaller exponent means a larger number.
In this case, 7.6 × 10^−25 has an exponent of −25, and 6.7 × 10^−52 has an exponent of −52.
Since −52 is a larger exponent than −25, we can conclude that 6.7 × 10^−52 is a smaller number compared to 7.6 × 10^−25.
Therefore, the correct statement is:
7.6 × 10^−25 > 6.7 × 10^−52