Question
Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
Answers
GPT-4o mini
To estimate the amount of grapes Martin gave away using compatible numbers, you can first round the numbers to make the calculation easier. In this case, we'll round the 7 pounds of grapes to a compatible number that's easier to work with.
1. **Identify the original number of grapes**: Martin has 7 pounds of grapes.
2. **Determine the fraction he gave away**: Martin gave away \( \frac{2}{5} \) of his grapes.
3. **Use compatible numbers to estimate**: Instead of using 7 directly, we can round it to a nearby number that is easier to work with, like 10.
4. **Calculate \( \frac{2}{5} \) of this rounded number**:
- Find \( \frac{2}{5} \) of 10:
- \( \frac{2}{5} \) of 10 = 4.
Thus, using the compatible number of 10, we estimate that Martin gave away about 4 pounds of grapes.
This method of rounding to compatible numbers helps simplify the calculation while still providing a reasonable estimate of the amount given away.
1. **Identify the original number of grapes**: Martin has 7 pounds of grapes.
2. **Determine the fraction he gave away**: Martin gave away \( \frac{2}{5} \) of his grapes.
3. **Use compatible numbers to estimate**: Instead of using 7 directly, we can round it to a nearby number that is easier to work with, like 10.
4. **Calculate \( \frac{2}{5} \) of this rounded number**:
- Find \( \frac{2}{5} \) of 10:
- \( \frac{2}{5} \) of 10 = 4.
Thus, using the compatible number of 10, we estimate that Martin gave away about 4 pounds of grapes.
This method of rounding to compatible numbers helps simplify the calculation while still providing a reasonable estimate of the amount given away.