Compare 7.6 x 10^-25 and 6.7 × 10^-52. Which statement is true?

Question

7.6 × 10^-25 = 6.7 × 10^-32

Answer 1

To compare \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we need to consider the exponents of 10 and the coefficients.

1. The first number is \( 7.6 \times 10^{-25} \):

   • The exponent is \(-25\).

2. The second number is \( 6.7 \times 10^{-52} \):

   • The exponent is \(-52\).

Since \(-25\) is greater than \(-52\), we know that \( 10^{-25} \) is larger than \( 10^{-52} \).

Now we can compare the numbers:

• \( 7.6 \times 10^{-25} \) is a positive number multiplied by a larger power of ten compared to \( 6.7 \times 10^{-52} \), which means that \( 7.6 \times 10^{-25} \) is greater than \( 6.7 \times 10^{-52} \).

Thus, the following statement is true:

• \( 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \).

Regarding the statement \( 7.6 \times 10^{-25} = 6.7 \times 10^{-32} \), this is incorrect because \( 6.7 \times 10^{-32} \) actually represents a different value than \( 7.6 \times 10^{-25} \).