Question
Which statements are true about the estimation of decimal products? Check all that apply.
Estimation gives an approximate answer.
Estimation always results in a product greater than the exact answer.
Estimation always results in a product less than the exact answer.
Estimation can be done by rounding each decimal to the nearest whole number.
Estimation gives an approximate answer.
Estimation always results in a product greater than the exact answer.
Estimation always results in a product less than the exact answer.
Estimation can be done by rounding each decimal to the nearest whole number.
Answers
GPT-4o mini
Let's evaluate each statement regarding the estimation of decimal products:
1. **Estimation gives an approximate answer.** - **True**: Estimation is intended to provide a quick, rough calculation, which can help in verifying the reasonableness of a more precise answer.
2. **Estimation always results in a product greater than the exact answer.** - **False**: Estimation can result in a product that is greater, less than, or equal to the exact answer depending on the numbers and how they are rounded.
3. **Estimation always results in a product less than the exact answer.** - **False**: Similar to the previous statement, estimation can produce results that vary in relation to the exact answer.
4. **Estimation can be done by rounding each decimal to the nearest whole number.** - **True**: Rounding decimals to the nearest whole number is one common method to perform estimation for products.
Based on this analysis, the true statements are:
- Estimation gives an approximate answer.
- Estimation can be done by rounding each decimal to the nearest whole number.
1. **Estimation gives an approximate answer.** - **True**: Estimation is intended to provide a quick, rough calculation, which can help in verifying the reasonableness of a more precise answer.
2. **Estimation always results in a product greater than the exact answer.** - **False**: Estimation can result in a product that is greater, less than, or equal to the exact answer depending on the numbers and how they are rounded.
3. **Estimation always results in a product less than the exact answer.** - **False**: Similar to the previous statement, estimation can produce results that vary in relation to the exact answer.
4. **Estimation can be done by rounding each decimal to the nearest whole number.** - **True**: Rounding decimals to the nearest whole number is one common method to perform estimation for products.
Based on this analysis, the true statements are:
- Estimation gives an approximate answer.
- Estimation can be done by rounding each decimal to the nearest whole number.