Compare 7.6 * 10^-25 and 6.7 * 10^-52. Which statement is true?
A. 7.6 * 10^-25 = 6.7 * 10^-52
B. 7.6 * 10^-25 < 6.7 * 10^-52
C. 7.6 * 10^-25 > 6.7 * 10^-52
D. 7.6 * 10^-25 ≤ 6.7 * 10^-52
B. 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 and then the values of the coefficients.
For the exponents:
-25 < -52
Since the exponent of the first number (-25) is greater than the exponent of the second number (-52), we know that the first number is larger in magnitude.
Now let's compare the coefficients:
7.6 > 6.7
Since the coefficient of the first number (7.6) is greater than the coefficient of the second number (6.7), we know that the first number is larger in magnitude.
Combining these comparisons, we can conclude that 7.6 * 10^-25 > 6.7 * 10^-52. Therefore, the correct statement is:
C. 7.6 * 10^-25 > 6.7 * 10^-52
To compare the exponential values 7.6 * 10^-25 and 6.7 * 10^-52, we need to consider the magnitude of their exponents since they have the same base, 10.
In scientific notation, a smaller exponent indicates a larger magnitude. So, we can observe that 10^-25 is a larger value than 10^-52 because the exponent, -25, is closer to zero than -52.
Therefore, the statement C. 7.6 * 10^-25 > 6.7 * 10^-52 is true.