In which set are the numbers arranged in ascending order?

Question

Responses

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

0.000325, 0.00225, 0.00125, 0.00325

0.00125, 0.00225, 0.000325, 0.00325

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

Answer 1

To determine which set of numbers is arranged in ascending order, we first convert all numbers to decimal form:

1. Set 1:

   • $3.25\times {10}^{-4}=0.000325$
   • $1.25\times {10}^{-3}=0.00125$
   • $2.25\times {10}^{-3}=0.00225$
   • $3.25\times {10}^{-3}=0.00325$
   • In ascending order: $0.000325,0.00125,0.00225,0.00325$

2. Set 2:

   • $0.000325$
   • $0.00125$
   • $0.00225$
   • $0.00325$
   • In ascending order: This set is correctly ordered.

3. Set 3:

   • $0.00125$
   • $0.00225$
   • $0.000325$
   • $0.00325$
   • Not in ascending order.

4. Set 4:

   • $3.25\times {10}^{-3}=0.00325$
   • $2.25\times {10}^{-3}=0.00225$
   • $3.25\times {10}^{-4}=0.000325$
   • $1.25\times {10}^{-3}=0.00125$
   • Not in ascending order.

From this analysis, the sets arranged in ascending order are the first and second sets:

1. 1st Set: $0.000325,0.00125,0.00225,0.00325$
2. 2nd Set: $0.000325,0.00125,0.00225,0.00325$

Thus, both the 1st and 2nd responses are in ascending order.