Goodwin Romero
08/02/2024 · Elementary School
5. \( 462-317=(462+\quad-\quad)-(317+3) \) \( =\quad- \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( 462 - 317 = (462 + \quad - \quad) - (317 + 3) \), we first need to simplify the left side:
1. Calculate \( 462 - 317 \):
\[
462 - 317 = 145
\]
Now, we rewrite the equation with this result:
\[
145 = (462 + \quad - \quad) - (317 + 3)
\]
Next, simplify the right side:
1. Calculate \( 317 + 3 \):
\[
317 + 3 = 320
\]
Now, the equation becomes:
\[
145 = (462 + \quad - \quad) - 320
\]
To isolate \( (462 + \quad - \quad) \), we add 320 to both sides:
\[
145 + 320 = 462 + \quad - \quad
\]
\[
465 = 462 + \quad - \quad
\]
Now, we can solve for \( \quad - \):
1. Subtract 462 from both sides:
\[
465 - 462 = \quad -
\]
\[
3 = \quad -
\]
Thus, we have:
\[
\quad - = 3
\]
Now, we can fill in the blanks in the original equation:
\[
462 - 317 = (462 + \quad - 3) - (317 + 3)
\]
This means:
\[
\quad = 3
\]
Finally, we can summarize the results:
\[
462 - 317 = (462 + 3 - 3) - (317 + 3)
\]
\[
= 3
\]
So, the final answer is:
\[
\quad = 3
\]
Quick Answer
\( 462 - 317 = (462 + 3 - 3) - (317 + 3) \)
\( = 3 \)
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