Question
Using partial quotients to solve 2,378 ÷ 22, which is the best choice for the first number to be subtracted from 2,378?
22
220
2,000
2,200
Answers
GPT-4o mini
To use partial quotients for dividing 2,378 by 22, we want to choose a number that is easy to work with and will help us subtract a large portion of 2,378.
Let's consider the options given:
1. **22**: This is a small number and may need many iterations to reduce 2,378 significantly.
2. **220**: This could be a reasonable start, as it is a multiple of 22.
3. **2,000**: This is a larger number and would quickly reduce 2,378, but we need to see how close we can get to 2,378 without exceeding it.
4. **2,200**: This is too large since 2,200 is greater than 2,378.
Given this analysis, **220** is the best choice for the first number to subtract from 2,378 when using partial quotients. It efficiently reduces the number while keeping the division manageable.
Let's consider the options given:
1. **22**: This is a small number and may need many iterations to reduce 2,378 significantly.
2. **220**: This could be a reasonable start, as it is a multiple of 22.
3. **2,000**: This is a larger number and would quickly reduce 2,378, but we need to see how close we can get to 2,378 without exceeding it.
4. **2,200**: This is too large since 2,200 is greater than 2,378.
Given this analysis, **220** is the best choice for the first number to subtract from 2,378 when using partial quotients. It efficiently reduces the number while keeping the division manageable.