Question
Which set of numbers is arranged in descending order? (1 point)
07.2 × 10-30,7 × 10-30, 7.6 × 10-25,7.2 × 10-25
07.6 × 10-25,7.2 × 10-30, 7.2 × 10-25, 7 × 10-30
07х 10-30,7.2 × 10-25,7.2 × 10-30, 7.6 × 10-25
07.6 × 10-25
, 7.2 × 10-25
, 7.2 × 10-30
, 7 × 10-30
07.2 × 10-30,7 × 10-30, 7.6 × 10-25,7.2 × 10-25
07.6 × 10-25,7.2 × 10-30, 7.2 × 10-25, 7 × 10-30
07х 10-30,7.2 × 10-25,7.2 × 10-30, 7.6 × 10-25
07.6 × 10-25
, 7.2 × 10-25
, 7.2 × 10-30
, 7 × 10-30
Answers
GPT-4o mini
To arrange the given numbers in descending order, we first need to convert them into a common format, which can be done by comparing their values.
1. **Convert to standard decimal notation:**
- \( 07.2 \times 10^{-30} = 7.2 \times 10^{-30} \)
- \( 07 \times 10^{-30} = 7 \times 10^{-30} \)
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
2. **Identify the magnitudes:**
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
3. **Compare the exponents:**
- Both \( 7.6 \times 10^{-25} \) and \( 7.2 \times 10^{-25} \) are significantly larger than \( 7.2 \times 10^{-30} \) and \( 7 \times 10^{-30} \) since their exponents (-25) are larger than (-30).
- Among \( 7.6 \times 10^{-25} \) and \( 7.2 \times 10^{-25} \), \( 7.6 \times 10^{-25} \) is larger.
- Among \( 7.2 \times 10^{-30} \) and \( 7 \times 10^{-30} \), \( 7.2 \times 10^{-30} \) is larger.
4. **Arrange in descending order:**
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
Thus, the set that is arranged in descending order is:
**07.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30**
1. **Convert to standard decimal notation:**
- \( 07.2 \times 10^{-30} = 7.2 \times 10^{-30} \)
- \( 07 \times 10^{-30} = 7 \times 10^{-30} \)
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
2. **Identify the magnitudes:**
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
3. **Compare the exponents:**
- Both \( 7.6 \times 10^{-25} \) and \( 7.2 \times 10^{-25} \) are significantly larger than \( 7.2 \times 10^{-30} \) and \( 7 \times 10^{-30} \) since their exponents (-25) are larger than (-30).
- Among \( 7.6 \times 10^{-25} \) and \( 7.2 \times 10^{-25} \), \( 7.6 \times 10^{-25} \) is larger.
- Among \( 7.2 \times 10^{-30} \) and \( 7 \times 10^{-30} \), \( 7.2 \times 10^{-30} \) is larger.
4. **Arrange in descending order:**
- \( 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)
Thus, the set that is arranged in descending order is:
**07.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30**