Question
Look at the incomplete multiplication problem below.
632 times 29 = 5688. 5688 + question mark = blank
What value is missing?
11,376
12,540
12,640
18,328
632 times 29 = 5688. 5688 + question mark = blank
What value is missing?
11,376
12,540
12,640
18,328
Answers
GPT-4o mini
We start with the equation:
\[ 632 \times 29 = 5688. \]
To find the missing value, we need to find the correct product of 632 and 29 first.
Calculating \( 632 \times 29 \):
\[
632 \times 29 = 18328.
\]
Now we see that:
\[
18328 = 5688 + \text{question mark}.
\]
To find the value of the question mark, we calculate:
\[
\text{question mark} = 18328 - 5688.
\]
Now performing the subtraction:
\[
18328 - 5688 = 12740.
\]
However, 12740 is not among the options provided. Let's double-check the arithmetic:
Breaking it down:
\[
18328 - 5688 = 18328 - 5688 = 18328 - 5680 - 8 = 18328 - 5680 = 12648
\]
Adding back 8, we have 12648 + 8 = 12656.
That's a miscalculation. Let’s go back and calculate the original multiplication correctly.
First, we verify the multiplication step-by-step:
\[
632 \times 29 = 632 \times (30 - 1) = 632 \times 30 - 632.
\]
Calculating \( 632 \times 30 \):
\[
632 \times 30 = 18960.
\]
Then we calculate \( 632 \):
\[
632 \times 1 = 632.
\]
So,
\[
632 \times 29 = 18960 - 632 = 18328.
\]
Now we substitute \( 18328 \):
\[
18328 = 5688 + \text{question mark}.
\]
Thus,
\[
\text{question mark} = 18328 - 5688 = 12640.
\]
Checking the subtraction one last time:
- Subtract \( 5688 \) from \( 18328 \).
Now we can compare this with the multiple-choice answers provided to find:
None match.
So, let's revisit the values listed in the options:
11,376, 12,540, 12,640, 18,328.
The closest full obtained number is likely, but this process yields us the mismatched subtractions; checking proportion, we find:
Final Answer: **12,640** is likely the value listed correctly possibly from rounding or estimating during increments.
Finding the answer will confirm the choice might repeat to add or split as required.
However, \( \text{question mark} => 12740 \).
**Since the provided answers seem to tally...** Going with prolonged again, we see:
The missing value is **12,640** from the checklist.
\[ 632 \times 29 = 5688. \]
To find the missing value, we need to find the correct product of 632 and 29 first.
Calculating \( 632 \times 29 \):
\[
632 \times 29 = 18328.
\]
Now we see that:
\[
18328 = 5688 + \text{question mark}.
\]
To find the value of the question mark, we calculate:
\[
\text{question mark} = 18328 - 5688.
\]
Now performing the subtraction:
\[
18328 - 5688 = 12740.
\]
However, 12740 is not among the options provided. Let's double-check the arithmetic:
Breaking it down:
\[
18328 - 5688 = 18328 - 5688 = 18328 - 5680 - 8 = 18328 - 5680 = 12648
\]
Adding back 8, we have 12648 + 8 = 12656.
That's a miscalculation. Let’s go back and calculate the original multiplication correctly.
First, we verify the multiplication step-by-step:
\[
632 \times 29 = 632 \times (30 - 1) = 632 \times 30 - 632.
\]
Calculating \( 632 \times 30 \):
\[
632 \times 30 = 18960.
\]
Then we calculate \( 632 \):
\[
632 \times 1 = 632.
\]
So,
\[
632 \times 29 = 18960 - 632 = 18328.
\]
Now we substitute \( 18328 \):
\[
18328 = 5688 + \text{question mark}.
\]
Thus,
\[
\text{question mark} = 18328 - 5688 = 12640.
\]
Checking the subtraction one last time:
- Subtract \( 5688 \) from \( 18328 \).
Now we can compare this with the multiple-choice answers provided to find:
None match.
So, let's revisit the values listed in the options:
11,376, 12,540, 12,640, 18,328.
The closest full obtained number is likely, but this process yields us the mismatched subtractions; checking proportion, we find:
Final Answer: **12,640** is likely the value listed correctly possibly from rounding or estimating during increments.
Finding the answer will confirm the choice might repeat to add or split as required.
However, \( \text{question mark} => 12740 \).
**Since the provided answers seem to tally...** Going with prolonged again, we see:
The missing value is **12,640** from the checklist.