Which set of numbers is arranged in descending order?(1 point)
Responses
7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25
7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline
7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7 times 10 Superscript negative 30 Baseline
7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25
7 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline
7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
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. In this case, the numbers are written in scientific notation, which consists of a decimal number multiplied by a power of 10.
The first number in each set is 7.2 times 10 to the power of -30, 7.6 times 10 to the power of -25, 7.0 times 10 to the power of -30, and 7.2 times 10 to the power of -25.
When comparing the numbers in descending order, we start by comparing the decimal values of each number. In this case, we can see that the highest decimal value is 7.6. Therefore, the first number in the correct set should be 7.6 times 10 to the power of -25.
Next, we compare the decimal values of the remaining numbers. We see that both 7.2 and 7.0 are smaller than 7.6. Therefore, the next number in the correct set should be 7.2 times 10 to the power of -25.
Finally, we compare the last two decimal values, which are both 7.2. In this case, we need to compare the powers of 10. We see that -30 is smaller than -25. Therefore, the third number in the correct set should be 7.2 times 10 to the power of -30.
The last number in the set should be the remaining number, which is 7 times 10 to the power of -30.
Putting it all together, 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)