In which set are the numbers arranged in ascending order?(1 point) Responses 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
The set where the numbers are arranged in ascending order is: 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3.
To determine which set has the numbers arranged in ascending order, let's compare the given options:
Option 1: 0.000325, 0.00225, 0.00125, 0.00325
Option 2: 0.000325, 0.00225, 0.00125, 0.00325
Option 3: 3.25 × 10^(-4), 1.25 × 10^(-3), 2.25 × 10^(-3), 3.25 × 10^(-3)
Option 4: 3.25 × 10^(-4), 1.25 × 10^(-3), 2.25 × 10^(-3)
Comparing the options, we can see that both Option 1 and Option 2 are the same, so we can disregard one of them.
Now, let's compare Option 1/2 with Option 3 and Option 4.
In Option 1/2, the numbers are written in decimal form.
In Option 3 and Option 4, the numbers are written in scientific notation.
To convert the numbers in Option 3 and Option 4 to decimal form, we need to multiply them by their respective powers of 10.
Option 3 in decimal form: 0.000325, 0.00125, 0.00225, 0.00325
Option 4 in decimal form: 0.000325, 0.00125, 0.00225
Comparing the decimal form of Option 1/2 with Option 3 and Option 4, we can see that Option 3 (3.25 × 10^(-4), 1.25 × 10^(-3), 2.25 × 10^(-3), 3.25 × 10^(-3)) is arranged in ascending order.
Therefore, the set in which the numbers are arranged in ascending order is Option 3.
To find the set of numbers arranged in ascending order, we need to compare the numbers and determine which order they should be in.
Let's start with the first set of numbers: 0.000325, 0.00225, 0.00125, 0.00325.
To compare these numbers, we can start by looking at the first decimal place. The number with the smallest value in the first decimal place is 0.00125, followed by 0.000325, 0.00225, and 0.00325.
Next, we move to the next decimal place. In the second decimal place, we have 0.00125 and 0.00225. 0.00125 is smaller than 0.00225, so they should be in that order.
Finally, we compare the numbers in the third decimal place, which is 0.00325. Since it is larger than all the other numbers, it should be placed at the end.
Putting it all together, the numbers arranged in ascending order for the first set are: 0.000325, 0.00125, 0.00225, 0.00325.
Now let's check the second set of numbers: 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3.
To compare these numbers, we need to first convert them to their decimal forms.
3.25 × 10^−4 = 0.000325
1.25 × 10^−3 = 0.00125
2.25 × 10^−3 = 0.00225
3.25 × 10^−3 = 0.00325
We can see that the numbers in this set are actually the same as the first set of numbers. So, the numbers arranged in ascending order for the second set are: 0.000325, 0.00125, 0.00225, 0.00325.
Therefore, both the first and second sets have the numbers arranged in ascending order.