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
7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline
To compare the two numbers, we can ignore the powers of 10 for now and just compare the numeric parts.
Comparing 7.6 and 6.7, we see that 7.6 is greater than 6.7.
Therefore, the statement 7.6 × 10^(-25) > 6.7 × 10^(-52) is true.
To compare the values 7.6 × 10^(-25) and 6.7 × 10^(-52), we can use scientific notation. In scientific notation, the number is written as a product of a decimal number between 1 and 10 (including 1 but not 10) and a power of 10.
To compare the values, we need to compare the decimal parts and the powers of 10 separately.
First, let's compare the decimal parts:
7.6 is greater than 6.7, so we can conclude that 7.6 × 10^(-25) is greater than 6.7 × 10^(-52) in terms of the decimal parts.
Next, let's compare the powers of 10:
Since the exponents are negative, a smaller exponent means a larger power of 10. Therefore, 10^(-25) is greater than 10^(-52) in terms of the powers of 10.
Combining the comparison of the decimal parts and the powers of 10, we can conclude that 7.6 × 10^(-25) is greater than 6.7 × 10^(-52).
So, the correct statement is:
7.6 × 10^(-25) > 6.7 × 10^(-52)