Question
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673
25?
250
None of these is correct.
50
500
25?
250
None of these is correct.
50
500
Answers
GPT-4o mini
To use partial quotients for the division problem \( 673 \div 25 \), we can start by estimating how many groups of \( 25 \) fit into \( 673 \).
We will look for a number to subtract that is a multiple of \( 25 \) and that gets us reasonably close to \( 673 \). Let's evaluate the options:
1. **250**:
\[
673 - 250 = 423
\]
2. **50**:
\[
673 - 50 = 623
\]
3. **500**:
\[
673 - 500 = 173
\]
The goal is to subtract a number that allows us to remain efficient in reducing our dividend. Generally, we are looking for a larger value to subtract first to bring the dividend down significantly while still leaving a manageable remainder.
From the options, \( 500 \) seems like a reasonable first choice because it is a larger multiple of \( 25 \) that will bring \( 673 \) down substantially.
So the best choice is **500**.
We will look for a number to subtract that is a multiple of \( 25 \) and that gets us reasonably close to \( 673 \). Let's evaluate the options:
1. **250**:
\[
673 - 250 = 423
\]
2. **50**:
\[
673 - 50 = 623
\]
3. **500**:
\[
673 - 500 = 173
\]
The goal is to subtract a number that allows us to remain efficient in reducing our dividend. Generally, we are looking for a larger value to subtract first to bring the dividend down significantly while still leaving a manageable remainder.
From the options, \( 500 \) seems like a reasonable first choice because it is a larger multiple of \( 25 \) that will bring \( 673 \) down substantially.
So the best choice is **500**.