Problem Description:
The task involves solving balancing equations to make both sides of the equation equal. We need to find the correct number that balances each equation.
Step-by-Step Solution:
####
1. First Equation:
\[ 9 + 6 = ? + 5 \]
-
Step 1: Calculate the left side of the equation.
\[
9 + 6 = 15
\]
-
Step 2: Set up the equation with the unknown (?).
\[
15 = ? + 5
\]
-
Step 3: Solve for ? by isolating it.
\[
? = 15 - 5 = 10
\]
-
Step 4: Verify the solution.
\[
9 + 6 = 10 + 5 \quad \text{(Both sides equal 15)}
\]
-
Answer: The correct number is
10.
---
####
2. Second Equation:
\[ 8 + ? = 9 + 7 \]
-
Step 1: Calculate the right side of the equation.
\[
9 + 7 = 16
\]
-
Step 2: Set up the equation with the unknown (?).
\[
8 + ? = 16
\]
-
Step 3: Solve for ? by isolating it.
\[
? = 16 - 8 = 8
\]
-
Step 4: Verify the solution.
\[
8 + 8 = 9 + 7 \quad \text{(Both sides equal 16)}
\]
-
Answer: The correct number is
8.
---
####
3. Third Equation:
\[ ? + 5 = 8 + 1 \]
-
Step 1: Calculate the right side of the equation.
\[
8 + 1 = 9
\]
-
Step 2: Set up the equation with the unknown (?).
\[
? + 5 = 9
\]
-
Step 3: Solve for ? by isolating it.
\[
? = 9 - 5 = 4
\]
-
Step 4: Verify the solution.
\[
4 + 5 = 8 + 1 \quad \text{(Both sides equal 9)}
\]
-
Answer: The correct number is
4.
---
Final Answers:
1. For the first equation:
10
2. For the second equation:
8
3. For the third equation:
4
Boxed Final Answer:
\[
\boxed{10, 8, 4}
\]
Parent Tip: Review the logic above to help your child master the concept of mental math worksheet grade 2.
