Question
Find the missing value. Hint: Use the number line to find the missing value. \( -5=-8-\square \)
Ask by Harmon Lee. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The missing value is -3.
Solution
We start with the equation:
-5 = -8 - □
Step 1: Let the missing value be represented by x, so the equation becomes:
-5 = -8 - x
Step 2: To solve for x, add 8 to both sides:
-5 + 8 = -8 - x + 8
3 = -x
Step 3: Multiply both sides by -1 to solve for x:
x = -3
So, the missing value is -3.
Using a number line, you can picture that moving from -8 to -5 is a shift of 3 units to the right, which corresponds to subtracting -3. Hence, the equation -5 = -8 - (-3) holds true.
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Simplify this solution Beyond the Answer
To solve for the missing value, we can start by rearranging the equation \( -5 = -8 - \square \) into a more manageable form. By adding 8 to both sides of the equation, we get \( -5 + 8 = -\square \). Simplifying this gives us \( 3 = -\square \), which means that \( \square = -3 \). So, the missing value is -3! You can visualize this on a number line: start at -8, move 3 units to the right, and you'll perfectly land on -5!
