Question
How do you write in scientific notation blank x 10 blank
Answers
GPT-4o mini
To write a number in scientific notation, you follow this format:
\[ a \times 10^n \]
where:
- \( a \) is a number greater than or equal to 1 and less than 10,
- \( n \) is an integer, which indicates the power of 10 by which \( a \) is multiplied.
Here are the steps to convert a number to scientific notation:
1. **Identify the significant digits**: Move the decimal point in the original number to create a new number (a) that is at least 1 but less than 10.
2. **Count the number of places you moved the decimal**: This will determine the exponent \( n \).
- If you moved the decimal to the left, \( n \) is positive.
- If you moved it to the right, \( n \) is negative.
3. **Write it in the scientific notation format**: Combine \( a \) and \( n \) in the format \( a \times 10^n \).
### Example
For the number 5000:
1. Move the decimal point 3 places to the left: 5.000
2. Since we moved it to the left, \( n = 3 \).
3. Write it in scientific notation:
\[ 5.0 \times 10^3 \]
If you have a specific number you'd like to convert, feel free to provide it!
\[ a \times 10^n \]
where:
- \( a \) is a number greater than or equal to 1 and less than 10,
- \( n \) is an integer, which indicates the power of 10 by which \( a \) is multiplied.
Here are the steps to convert a number to scientific notation:
1. **Identify the significant digits**: Move the decimal point in the original number to create a new number (a) that is at least 1 but less than 10.
2. **Count the number of places you moved the decimal**: This will determine the exponent \( n \).
- If you moved the decimal to the left, \( n \) is positive.
- If you moved it to the right, \( n \) is negative.
3. **Write it in the scientific notation format**: Combine \( a \) and \( n \) in the format \( a \times 10^n \).
### Example
For the number 5000:
1. Move the decimal point 3 places to the left: 5.000
2. Since we moved it to the left, \( n = 3 \).
3. Write it in scientific notation:
\[ 5.0 \times 10^3 \]
If you have a specific number you'd like to convert, feel free to provide it!