Which set of numbers is arranged in descending order?
1. 7 x 10^-30, 7.2 x 10^-25, 7.2 x 10^-30, 7.6 x 10^-25
2. 7.6 x 10^-25, 7.2 x 10^-30, 7.2 x 10^-25, 7 x 10^-30
3. 7.2 x 10^-30, 7 x 10^-30, 7.6 x 10^-25, 7.2 x 10^-25
4. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
The set of numbers arranged in descending order is:
4. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30.
To arrange the numbers in descending order, compare the coefficients in front of the powers of 10. Start with the largest coefficient and its corresponding power of 10, then move to the next largest coefficient, and so on.
Let's compare the sets of numbers:
1. 7 x 10^-30, 7.2 x 10^-25, 7.2 x 10^-30, 7.6 x 10^-25
2. 7.6 x 10^-25, 7.2 x 10^-30, 7.2 x 10^-25, 7 x 10^-30
3. 7.2 x 10^-30, 7 x 10^-30, 7.6 x 10^-25, 7.2 x 10^-25
4. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
Comparing the first set of numbers, we see that the order from largest to smallest coefficient is:
7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
Therefore, the correct answer is set number 4:
7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
To determine which set of numbers is arranged in descending order, we need to compare the numbers and their exponents.
Let's compare each set of numbers:
1. 7 x 10^-30, 7.2 x 10^-25, 7.2 x 10^-30, 7.6 x 10^-25
2. 7.6 x 10^-25, 7.2 x 10^-30, 7.2 x 10^-25, 7 x 10^-30
3. 7.2 x 10^-30, 7 x 10^-30, 7.6 x 10^-25, 7.2 x 10^-25
4. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
Now, let's compare the first number in each set. We start with the whole number part of each number (7, 7.6, 7.2, 7.6) since the exponents are the same (-25 and -30).
From the above comparison, we can see that the largest number is 7.6 x 10^-25 in set 4.
Hence, the set of numbers that is arranged in descending order is:
4. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30