Compare Very Large and Very Small Numbers Quick Check

Question

5 of 55 of 5 Items
Question
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

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
0.00125, 0.00225, 0.000325, 0.00325

0.000325, 0.00225, 0.00125, 0.00325

Answer 1

To determine which set of numbers is arranged in ascending order, we need to convert all the scientific notation numbers to their decimal equivalents and compare them.

1. First Set:

   • \(3.25 \times 10^{-3} = 0.00325\)
   • \(2.25 \times 10^{-3} = 0.00225\)
   • \(3.25 \times 10^{-4} = 0.000325\)
   • \(1.25 \times 10^{-3} = 0.00125\)

   Arranged in ascending order: \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)

2. Second Set:

   • \(3.25 \times 10^{-4} = 0.000325\)
   • \(1.25 \times 10^{-3} = 0.00125\)
   • \(2.25 \times 10^{-3} = 0.00225\)
   • \(3.25 \times 10^{-3} = 0.00325\)

   Arranged in ascending order: \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)

3. Third Set:

   • \(0.00125\)
   • \(0.00225\)
   • \(0.000325\) (this one is out of order)
   • \(0.00325\)

   This set is not in ascending order.

4. Fourth Set:

   • \(0.000325\)
   • \(0.00225\)
   • \(0.00125\) (this one is out of order)
   • \(0.00325\)

   This set is also not in ascending order.

From the above analysis, the first two sets are arranged in ascending order:

• Set 1: \(3.25 \times 10^{-4}\), \(1.25 \times 10^{-3}\), \(2.25 \times 10^{-3}\), \(3.25 \times 10^{-3}\)
• Set 2: \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)

Both Set 1 and Set 2 contain the numbers in ascending order, but if you are looking for a single answer, you can choose either set that clearly shows the correct order.

Answer: Both the first and second sets are arranged in ascending order.

Answer 2

what is the answer

Answer 3

The answer is the second set of numbers:

3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3

This set is arranged in ascending order.