Compare 7.6 × 10^−25 and 6.7 × 10^−52 . Which statement is true?
To compare 7.6 × 10^−25 and 6.7 × 10^−52, we need to compare their exponents first.
The exponent in 7.6 × 10^−25 is -25, and the exponent in 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.
To compare numbers in scientific notation (numbers written in the form of a × 10^b), we need to compare both the coefficient (the number before the "×") and the exponent (the number after the "10^").
The numbers given are:
7.6 × 10^−25
6.7 × 10^−52
1. Compare the coefficients:
7.6 is greater than 6.7.
2. Compare the exponents:
-25 is greater than -52.
Therefore, the statement "7.6 × 10^−25 is greater than 6.7 × 10^−52" is true.
To compare the numbers 7.6 × 10^(-25) and 6.7 × 10^(-52), we need to consider the exponents first.
In scientific notation, when comparing numbers with the same base (in this case 10), the number with the smaller exponent is actually the larger number. In other words, the number with the larger exponent is closer to zero than the number with the smaller exponent.
In this case, 7.6 × 10^(-25) has a larger exponent (-25) compared to 6.7 × 10^(-52) which has a smaller exponent (-52).
Therefore, the statement "7.6 × 10^(-25) is greater than 6.7 × 10^(-52)" is true.