Question
using partial quotation to solve 1,085/7
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GPT-4o mini
To solve the division \( 1,085 \div 7 \) using partial quotients, we'll break it down into manageable steps:
1. **Estimate** how many times 7 can fit into 1,085. Start by estimating with multiples of 10.
- Since \( 7 \times 100 = 700 \), we can try estimating higher multiples like \( 7 \times 150 = 1,050 \).
2. **Subtract** that estimate from 1,085:
- \( 1,085 - 1,050 = 35 \). Now we need to see how many times 7 can fit into 35.
3. **Determine** how many times 7 fits into 35:
- \( 7 \times 5 = 35 \), so we can subtract that as well.
4. **Put it all together**:
- The quotients from our steps:
- From \( 1,050 \), we had 150.
- From \( 35 \), we had 5.
5. **Add the partial quotients**:
- \( 150 + 5 = 155 \).
Therefore, \( 1,085 \div 7 = 155 \) with no remainder.
1. **Estimate** how many times 7 can fit into 1,085. Start by estimating with multiples of 10.
- Since \( 7 \times 100 = 700 \), we can try estimating higher multiples like \( 7 \times 150 = 1,050 \).
2. **Subtract** that estimate from 1,085:
- \( 1,085 - 1,050 = 35 \). Now we need to see how many times 7 can fit into 35.
3. **Determine** how many times 7 fits into 35:
- \( 7 \times 5 = 35 \), so we can subtract that as well.
4. **Put it all together**:
- The quotients from our steps:
- From \( 1,050 \), we had 150.
- From \( 35 \), we had 5.
5. **Add the partial quotients**:
- \( 150 + 5 = 155 \).
Therefore, \( 1,085 \div 7 = 155 \) with no remainder.
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