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 first need to express all of them in standard decimal form so we can easily 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, we can compare the 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**
So 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, we can compare the 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**
So the final answer is:
**2.3 × 10⁻⁸, 3.2 × 10⁻¹⁰, 2.3 × 10⁻¹⁰, 2.3 × 10⁻¹²**