Compare 7.6 x 10^-25 and 6.7 x 10^-52. Which statement is true?
1. 7.6 x 10^-25 < 6.7 x 10^-52
2. 7.6 x 10^-25 > 6.7 x 10^-52
3. 7.6 x 10^-25 ≤ 6.7 x 10^-52
4. 7.6 x 10^-25 = 6.7 x 10^-52
The correct statement is:
1. 7.6 x 10^-25 < 6.7 x 10^-52
To compare the numbers 7.6 x 10^-25 and 6.7 x 10^-52, we can compare their exponents.
-25 is greater than -52, which means that 10^-25 is greater than 10^-52.
Since the bases (7.6 and 6.7) are the same, the number with the greater exponent will be the larger number.
Therefore, the correct statement is:
2. 7.6 x 10^-25 > 6.7 x 10^-52
To compare the numbers 7.6 x 10^-25 and 6.7 x 10^-52, we can compare their values as decimal numbers without the scientific notation.
To convert these numbers to decimal form, we can multiply the base number (7.6 and 6.7) by the power of 10 (10^-25 and 10^-52).
For the first number, 7.6 x 10^-25, we multiply 7.6 by 10 raised to the power of -25:
7.6 x 10^-25 = 0.00000000000000000000000076
For the second number, 6.7 x 10^-52, we multiply 6.7 by 10 raised to the power of -52:
6.7 x 10^-52 = 0.00000000000000000000000000000000000000000000000067
Comparing these decimal values, we can see that the first number, 0.00000000000000000000000076, is greater than the second number, 0.00000000000000000000000000000000000000000000000067.
Therefore, the correct statement is:
2. 7.6 x 10^-25 > 6.7 x 10^-52.