Question
Place the numbers in descending order.
2.3 × 10^−10
2.3
×
10
−
10
; 3.2 × 10^−10
3.2
×
10
−
10
; 2.3 × 10^−12
2.3
×
10
−
12
; 2.3 × 10^−8
2.3
×
10
−
8
(2 points) ___ ; ___ ; ___ ; ___
2.3 × 10^−10
2.3
×
10
−
10
; 3.2 × 10^−10
3.2
×
10
−
10
; 2.3 × 10^−12
2.3
×
10
−
12
; 2.3 × 10^−8
2.3
×
10
−
8
(2 points) ___ ; ___ ; ___ ; ___
Answers
GPT-4o mini
To arrange the numbers in descending order, we need to convert all scientific notation numbers to their decimal forms and then compare them.
1. **2.3 × 10^−10** = 0.00000000023
2. **3.2 × 10^−10** = 0.00000000032
3. **2.3 × 10^−12** = 0.0000000000023
4. **2.3 × 10^−8** = 0.000000023
Now, let's compare these decimal values:
- 2.3 × 10^−8 = 0.000000023 (largest)
- 3.2 × 10^−10 = 0.00000000032
- 2.3 × 10^−10 = 0.00000000023
- 2.3 × 10^−12 = 0.0000000000023 (smallest)
Putting them in descending order:
1. **2.3 × 10^−8**
2. **3.2 × 10^−10**
3. **2.3 × 10^−10**
4. **2.3 × 10^−12**
Thus, the final answer is:
**2.3 × 10^−8 ; 3.2 × 10^−10 ; 2.3 × 10^−10 ; 2.3 × 10^−12**
1. **2.3 × 10^−10** = 0.00000000023
2. **3.2 × 10^−10** = 0.00000000032
3. **2.3 × 10^−12** = 0.0000000000023
4. **2.3 × 10^−8** = 0.000000023
Now, let's compare these decimal values:
- 2.3 × 10^−8 = 0.000000023 (largest)
- 3.2 × 10^−10 = 0.00000000032
- 2.3 × 10^−10 = 0.00000000023
- 2.3 × 10^−12 = 0.0000000000023 (smallest)
Putting them in descending order:
1. **2.3 × 10^−8**
2. **3.2 × 10^−10**
3. **2.3 × 10^−10**
4. **2.3 × 10^−12**
Thus, the final answer is:
**2.3 × 10^−8 ; 3.2 × 10^−10 ; 2.3 × 10^−10 ; 2.3 × 10^−12**