Which set of numbers is arranged in descending order? (1 poir 7.6 * 10 ^ - 25, 7.2 * 10 ^ - 30, 7.2 * 10 ^ - 25, 7 * 10 ^ - 30; 7 * 10 ^ - 30, 7.2 * 10 ^ - 25, 7.2 * 10 ^ - 30, 7.6 * 10 ^ - 25; 7.6 * 10 ^ - 25, 7.2 * 10 ^ - 25, 7.2 * 10 ^ - 30, 7 * 10 ^ - 30; 7.2 * 10 ^ - 30, 7 * 10 ^ - 30, 7.6 * 10 ^ - 25, 7.2 * 10 ^ - 25
The set of numbers arranged in descending order is: 7.6 * 10 ^ - 25, 7.2 * 10 ^ - 25, 7.2 * 10 ^ - 30, 7 * 10 ^ - 30.
To determine which set of numbers is arranged in descending order, we need to compare the values of the numbers and their exponents.
In this case, the sets of numbers are represented in scientific notation, where each number is written as a decimal multiplied by a power of 10.
Let's break down the sets and compare them:
1) {7.6 * 10^(-25), 7.2 * 10^(-30), 7.2 * 10^(-25), 7 * 10^(-30)}
- The first number is 7.6 * 10^(-25).
- The second number is 7.2 * 10^(-30).
- The third number is 7.2 * 10^(-25).
- The fourth number is 7 * 10^(-30).
2) {7 * 10^(-30), 7.2 * 10^(-25), 7.2 * 10^(-30), 7.6 * 10^(-25)}
- The first number is 7 * 10^(-30).
- The second number is 7.2 * 10^(-25).
- The third number is 7.2 * 10^(-30).
- The fourth number is 7.6 * 10^(-25).
3) {7.6 * 10^(-25), 7.2 * 10^(-25), 7.2 * 10^(-30), 7 * 10^(-30)}
- The first number is 7.6 * 10^(-25).
- The second number is 7.2 * 10^(-25).
- The third number is 7.2 * 10^(-30).
- The fourth number is 7 * 10^(-30).
4) {7.2 * 10^(-30), 7 * 10^(-30), 7.6 * 10^(-25), 7.2 * 10^(-25)}
- The first number is 7.2 * 10^(-30).
- The second number is 7 * 10^(-30).
- The third number is 7.6 * 10^(-25).
- The fourth number is 7.2 * 10^(-25).
To arrange the numbers in descending order, we need to compare the values of the decimal part (7.6, 7.2, 7.2, 7) first. Among the four sets, the set that has the largest decimal values in descending order is Option 1) {7.6 * 10^(-25), 7.2 * 10^(-30), 7.2 * 10^(-25), 7 * 10^(-30)}.
Therefore, the set of numbers arranged in descending order is:
7.6 * 10^(-25), 7.2 * 10^(-25), 7.2 * 10^(-30), 7 * 10^(-30).
The set of numbers arranged in descending order is:
7.6 * 10 ^ - 25, 7.2 * 10 ^ - 25, 7.2 * 10 ^ - 30, 7 * 10 ^ - 30.