Which set of numbers is arranged in descending order?
A. 7.6 * 10^-25, 7.2 * 10^-30, 7.2 * 10^-25, 7 * 10^-30
B. 7.2 * 10^-30, 7 * 10^-30, 7.6 * 10^-25, 7.2 * 10^-25
C. 7.6 * 10^-25, 7.2 * 10^-25, 7.2 8 10^-30, 7 * 10^-30
D. 7 * 10^-30, 7.2 * 10^-25, 7.2 * 10^-30, 7.6 * 10^-25
The set of numbers arranged in descending order is:
D. 7 * 10^-30, 7.2 * 10^-25, 7.2 * 10^-30, 7.6 * 10^-25
To determine the set of numbers arranged in descending order, we compare the values of the exponents first. The larger exponent indicates a smaller number.
Let's compare the exponents of the given options:
A. Exponents: -25, -30, -25, -30
B. Exponents: -30, -30, -25, -25
C. Exponents: -25, -25, -30, -30
D. Exponents: -30, -25, -30, -25
Based on this comparison, we can see that option D has the exponents arranged in descending order (-30, -30, -25, -25). So the correct option is:
D. 7 * 10^-30, 7.2 * 10^-25, 7.2 * 10^-30, 7.6 * 10^-25
To determine which set of numbers is arranged in descending order, we need to compare the numbers in each set. In this case, we have four sets of numbers, represented as decimal numbers multiplied by powers of 10 (scientific notation).
Let's compare the first number in each set:
A. 7.6 * 10^-25
B. 7.2 * 10^-30
C. 7.6 * 10^-25
D. 7 * 10^-30
The highest of these four numbers is 7.6 * 10^-25.
Now, let's compare the second number in each set:
A. 7.2 * 10^-30
B. 7 * 10^-30
C. 7.2 * 10^-25
D. 7.2 * 10^-30
The highest of these four numbers is 7.2 * 10^-25.
So far, after comparing the first two numbers in each set, we have:
A. 7.6 * 10^-25, 7.2 * 10^-30
B. 7.2 * 10^-30, 7.2 * 10^-25
C. 7.6 * 10^-25, 7.2 * 10^-25
D. 7 * 10^-30, 7.2 * 10^-25
Next, let's compare the third number in each set:
A. 7.2 * 10^-25
B. 7.6 * 10^-25
C. 7 * 10^-30
D. 7.2 * 10^-30
The highest of these four numbers is 7.6 * 10^-25.
Lastly, let's compare the fourth number in each set:
A. 7 * 10^-30
B. 7.2 * 10^-25
C. 7 * 10^-30
D. 7.6 * 10^-25
The highest of these four numbers is 7.6 * 10^-25.
Now, we can summarize the descending order of the four sets of numbers:
A. 7.6 * 10^-25, 7.2 * 10^-30, 7.2 * 10^-25, 7 * 10^-30
B. 7.2 * 10^-30, 7 * 10^-30, 7.6 * 10^-25, 7.2 * 10^-25
C. 7.6 * 10^-25, 7.2 * 10^-25, 7.2 * 10^-30, 7 * 10^-30
D. 7 * 10^-30, 7.2 * 10^-25, 7.2 * 10^-30, 7.6 * 10^-25
By comparing the highest numbers in each set, we can see that set B is arranged in descending order.