Which set of numbers is arranged in descending order?(1 point)
Responses
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
7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline
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 × 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 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline
In which set are the numbers arranged in ascending order?(1 point)
Responses
0.00125, 0.00225, 0.000325, 0.00325
0.00125, 0.00225, 0.000325, 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
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
0.000325, 0.00225, 0.00125, 0.00325
0.000325, 0.00225, 0.00125, 0.00325
The set of numbers arranged in descending order is:
7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
or
7.6 times 10 Superscript negative 25 Baseline, 7.2 times 10 Superscript negative 25 Baseline, 7.2 times 10 Superscript negative 30 Baseline, 7 times 10 Superscript negative 30 Baseline
To determine which set of numbers is arranged in descending order, you need to compare the values of the numbers. In descending order, the largest number comes first, followed by the second largest, and so on until the smallest number comes last.
Let's break down the sets of numbers:
Set 1: 7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30
Set 2: 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
Set 3: 7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25
Set 4: 7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25
To compare the values, focus on the exponential part (the superscript). The smaller the exponent, the larger the number.
Comparing Set 1:
7.6 × 10−25 (largest)
7.2 × 10−30 (second largest)
7.2 × 10−25 (third largest)
7 × 10−30 (smallest)
Comparing Set 2:
7.6 × 10−25 (largest)
7.2 × 10−25 (second largest)
7.2 × 10−30 (third largest)
7 × 10−30 (smallest)
Comparing Set 3:
7.2 × 10−30 (largest)
7 × 10−30 (second largest)
7.6 × 10−25 (third largest)
7.2 × 10−25 (smallest)
Comparing Set 4:
7 × 10−30 (largest)
7.2 × 10−25 (second largest)
7.2 × 10−30 (third largest)
7.6 × 10−25 (smallest)
From the comparisons, we can see that Set 3: 7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25, is arranged in descending order.