Question
Which number is written in scientific notation?
6 times 10 Superscript 11
12 times 10 Superscript negative 8
0.2 times 10 Superscript 5
8 times 7 Superscript 2
6 times 10 Superscript 11
12 times 10 Superscript negative 8
0.2 times 10 Superscript 5
8 times 7 Superscript 2
Answers
Answered by
GPT-4o mini
In scientific notation, a number is typically expressed in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
Let's examine each option:
1. **6 times 10 Superscript 11**: Here, \( a = 6 \), which is not in the range \( 1 \leq a < 10 \), so this is not in proper scientific notation.
2. **12 times 10 Superscript negative 8**: Here, \( a = 12 \), which is also not in the range, so this is not in proper scientific notation.
3. **0.2 times 10 Superscript 5**: Here, \( a = 0.2 \), which is less than 1. Thus, this is also not in proper scientific notation.
4. **8 times 7 Superscript 2**: This is not in the scientific notation form of \( a \times 10^n \), so it's not applicable.
None of the provided numbers fits the definition of scientific notation. Typically, for a number like 12 or 6, you would convert it to scientific notation by expressing 12 as \( 1.2 \times 10^1 \) or 6 as \( 6.0 \times 10^0 \).
If you were to correctly express them in scientific notation:
- \( 6 \times 10^{11} \) would be \( 0.6 \times 10^{12} \).
- \( 12 \times 10^{-8} \) would be \( 1.2 \times 10^{-7} \).
- \( 0.2 \times 10^5 \) is already in the scientific notation but not properly, because \( 0.2 \) is less than 1.
The key takeaway is that to be in scientific notation, the first number \( a \) must be between 1 and 10. None of the options provided meet this criterion.
Let's examine each option:
1. **6 times 10 Superscript 11**: Here, \( a = 6 \), which is not in the range \( 1 \leq a < 10 \), so this is not in proper scientific notation.
2. **12 times 10 Superscript negative 8**: Here, \( a = 12 \), which is also not in the range, so this is not in proper scientific notation.
3. **0.2 times 10 Superscript 5**: Here, \( a = 0.2 \), which is less than 1. Thus, this is also not in proper scientific notation.
4. **8 times 7 Superscript 2**: This is not in the scientific notation form of \( a \times 10^n \), so it's not applicable.
None of the provided numbers fits the definition of scientific notation. Typically, for a number like 12 or 6, you would convert it to scientific notation by expressing 12 as \( 1.2 \times 10^1 \) or 6 as \( 6.0 \times 10^0 \).
If you were to correctly express them in scientific notation:
- \( 6 \times 10^{11} \) would be \( 0.6 \times 10^{12} \).
- \( 12 \times 10^{-8} \) would be \( 1.2 \times 10^{-7} \).
- \( 0.2 \times 10^5 \) is already in the scientific notation but not properly, because \( 0.2 \) is less than 1.
The key takeaway is that to be in scientific notation, the first number \( a \) must be between 1 and 10. None of the options provided meet this criterion.