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(2 points)When multiplying a decimal by a power of 10, the product .When dividing a decimal by a power of 10, the quotientAsked by J
(2 points) When multiplying a decimal by a power of 10, the product . When dividing a decimal by a power of 10, the quotient
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GPT-4o mini
When multiplying a decimal by a power of 10, the product will move the decimal point to the right by as many places as the exponent of 10. For example:
- Multiplying \(0.5\) by \(10^2\) (which is \(100\)) results in \(50.0\) (the decimal moves two places to the right).
When dividing a decimal by a power of 10, the quotient will move the decimal point to the left by as many places as the exponent of 10. For example:
- Dividing \(5.0\) by \(10^2\) (which is \(100\)) results in \(0.05\) (the decimal moves two places to the left).
In summary:
- **Multiplying by a power of 10**: Moves the decimal point to the right.
- **Dividing by a power of 10**: Moves the decimal point to the left.
- Multiplying \(0.5\) by \(10^2\) (which is \(100\)) results in \(50.0\) (the decimal moves two places to the right).
When dividing a decimal by a power of 10, the quotient will move the decimal point to the left by as many places as the exponent of 10. For example:
- Dividing \(5.0\) by \(10^2\) (which is \(100\)) results in \(0.05\) (the decimal moves two places to the left).
In summary:
- **Multiplying by a power of 10**: Moves the decimal point to the right.
- **Dividing by a power of 10**: Moves the decimal point to the left.
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