Question
In each blank with an integer (signed number). \begin{tabular}{|l|}\hline (a) \( -3-(-5)=-3+\square \) \\ \hline (b) \( -4-1=-4+\square \) \\ \end{tabular}
Ask by Lyons Conner. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- (a) 5
- (b) -1
Solution
1. For part (a):
We have
\[
-3 - (-5) = -3 + \square.
\]
Since subtracting a negative number is equivalent to adding the positive,
\[
-3 - (-5) = -3 + 5.
\]
Thus, the blank should be filled with \(5\).
2. For part (b):
We have
\[
-4 - 1 = -4 + \square.
\]
Calculating the left side gives
\[
-4 - 1 = -5.
\]
So, we need
\[
-4 + \square = -5.
\]
To find the blank, add \(4\) to both sides:
\[
\square = -5 + 4 = -1.
\]
The answers are:
- (a) \(5\)
- (b) \(-1\)
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Bonus Knowledge
Let's solve each expression step by step. For (a): \[ -3 - (-5) = -3 + 5 \] So, the blank should be filled with \(5\). For (b): \[ -4 - 1 = -4 + (-1) \] Thus, the blank should be filled with \(-1\). In summary: (a) The integer to fill in the blank is \(5\). (b) The integer to fill in the blank is \(-1\).