In which set are the numbers arranged in ascending order?(1 point)
Responses
3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3
3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline
0.000325, 0.00225, 0.00125, 0.00325
0.000325, 0.00225, 0.00125, 0.00325
3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 3 Baseline
0.00125, 0.00225, 0.000325, 0.00325
The set where the numbers are arranged in ascending order is:
0.000325, 0.00125, 0.00225, 0.00325
The set in which the numbers are arranged in ascending order is:
0.000325, 0.00125, 0.00225, 0.00325
To determine which set of numbers is arranged in ascending order, we need to compare the values of each number in the set.
Let's start with the first set:
3.25 × 10^(-3), 2.25 × 10^(-3), 3.25 × 10^(-4), 1.25 × 10^(-3)
To compare these numbers, we need to understand scientific notation. Each number is expressed in the form of a coefficient (e.g., 3.25, 2.25, 3.25, 1.25) multiplied by 10 raised to a certain power (e.g., -3, -3, -4, -3).
When comparing numbers written in scientific notation, we only need to focus on the coefficients without considering the powers of 10. So, comparing the coefficients, we have:
3.2, 2.25, 3.2, 1.25
Now we can see that the numbers are not in ascending order since 2.25 is smaller than 3.2.
Let's move on to the second set:
0.000325, 0.00225, 0.00125, 0.00325
Since these numbers are all written in standard decimal form, we can compare them directly. Comparing the numbers, we have:
0.000325, 0.00225, 0.00125, 0.00325
Now we see that the numbers are in ascending order because each subsequent number is greater than the previous one.
In summary, the set of numbers that is arranged in ascending order is:
0.000325, 0.00225, 0.00125, 0.00325