Double Column Fill Ups math worksheet for practicing addition and subtraction by finding missing addends.
Worksheet titled "Double Column Fill Ups" from SplashLearn, featuring math problems where students find the missing addend to make equations equal, using addition and subtraction.
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Step-by-step solution for: Equivalent Addition Facts - Math Worksheets - SplashLearn
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Show Answer Key & Explanations
Step-by-step solution for: Equivalent Addition Facts - Math Worksheets - SplashLearn
Problem Analysis:
The task involves solving a series of addition problems where you need to find the missing addend in each equation. The key is to use the opposite operation (subtraction) to determine the missing number that makes both sides of the equation equal.
Step-by-Step Solution:
#### Section 1:
Find the new addend that gives the same result.
1. 4 + 4 = 5 + __
- Calculate the left side: \( 4 + 4 = 8 \)
- Set up the equation: \( 5 + x = 8 \)
- Solve for \( x \): \( x = 8 - 5 = 3 \)
- Answer: \( 4 + 4 = 5 + 3 \)
2. 7 + 4 = 10 + __
- Calculate the left side: \( 7 + 4 = 11 \)
- Set up the equation: \( 10 + x = 11 \)
- Solve for \( x \): \( x = 11 - 10 = 1 \)
- Answer: \( 7 + 4 = 10 + 1 \)
3. 9 + 6 = 10 + __
- Calculate the left side: \( 9 + 6 = 15 \)
- Set up the equation: \( 10 + x = 15 \)
- Solve for \( x \): \( x = 15 - 10 = 5 \)
- Answer: \( 9 + 6 = 10 + 5 \)
4. 9 + 8 = 10 + __
- Calculate the left side: \( 9 + 8 = 17 \)
- Set up the equation: \( 10 + x = 17 \)
- Solve for \( x \): \( x = 17 - 10 = 7 \)
- Answer: \( 9 + 8 = 10 + 7 \)
5. 7 + 8 = 9 + __
- Calculate the left side: \( 7 + 8 = 15 \)
- Set up the equation: \( 9 + x = 15 \)
- Solve for \( x \): \( x = 15 - 9 = 6 \)
- Answer: \( 7 + 8 = 9 + 6 \)
6. 6 + 5 = 8 + __
- Calculate the left side: \( 6 + 5 = 11 \)
- Set up the equation: \( 8 + x = 11 \)
- Solve for \( x \): \( x = 11 - 8 = 3 \)
- Answer: \( 6 + 5 = 8 + 3 \)
---
#### Section 2:
Find the new addend that gives the same result.
1. 6 + 7 = 10 + __
- Calculate the left side: \( 6 + 7 = 13 \)
- Set up the equation: \( 10 + x = 13 \)
- Solve for \( x \): \( x = 13 - 10 = 3 \)
- Answer: \( 6 + 7 = 10 + 3 \)
2. 9 + 7 = 10 + __
- Calculate the left side: \( 9 + 7 = 16 \)
- Set up the equation: \( 10 + x = 16 \)
- Solve for \( x \): \( x = 16 - 10 = 6 \)
- Answer: \( 9 + 7 = 10 + 6 \)
3. 8 + 8 = 10 + __
- Calculate the left side: \( 8 + 8 = 16 \)
- Set up the equation: \( 10 + x = 16 \)
- Solve for \( x \): \( x = 16 - 10 = 6 \)
- Answer: \( 8 + 8 = 10 + 6 \)
4. 6 + 5 = 10 + __
- Calculate the left side: \( 6 + 5 = 11 \)
- Set up the equation: \( 10 + x = 11 \)
- Solve for \( x \): \( x = 11 - 10 = 1 \)
- Answer: \( 6 + 5 = 10 + 1 \)
5. 7 + 5 = 10 + __
- Calculate the left side: \( 7 + 5 = 12 \)
- Set up the equation: \( 10 + x = 12 \)
- Solve for \( x \): \( x = 12 - 10 = 2 \)
- Answer: \( 7 + 5 = 10 + 2 \)
6. 8 + 6 = 10 + __
- Calculate the left side: \( 8 + 6 = 14 \)
- Set up the equation: \( 10 + x = 14 \)
- Solve for \( x \): \( x = 14 - 10 = 4 \)
- Answer: \( 8 + 6 = 10 + 4 \)
---
#### Section 3:
Find the new addend that gives the same result.
1. 9 + 5 = __ + 4
- Calculate the left side: \( 9 + 5 = 14 \)
- Set up the equation: \( x + 4 = 14 \)
- Solve for \( x \): \( x = 14 - 4 = 10 \)
- Answer: \( 9 + 5 = 10 + 4 \)
2. 5 + 8 = 10 + __
- Calculate the left side: \( 5 + 8 = 13 \)
- Set up the equation: \( 10 + x = 13 \)
- Solve for \( x \): \( x = 13 - 10 = 3 \)
- Answer: \( 5 + 8 = 10 + 3 \)
3. 8 + 7 = 10 + __
- Calculate the left side: \( 8 + 7 = 15 \)
- Set up the equation: \( 10 + x = 15 \)
- Solve for \( x \): \( x = 15 - 10 = 5 \)
- Answer: \( 8 + 7 = 10 + 5 \)
4. 9 + 9 = __ + 8
- Calculate the left side: \( 9 + 9 = 18 \)
- Set up the equation: \( x + 8 = 18 \)
- Solve for \( x \): \( x = 18 - 8 = 10 \)
- Answer: \( 9 + 9 = 10 + 8 \)
5. 6 + 6 = __ + 2
- Calculate the left side: \( 6 + 6 = 12 \)
- Set up the equation: \( x + 2 = 12 \)
- Solve for \( x \): \( x = 12 - 2 = 10 \)
- Answer: \( 6 + 6 = 10 + 2 \)
6. 7 + 6 = 10 + __
- Calculate the left side: \( 7 + 6 = 13 \)
- Set up the equation: \( 10 + x = 13 \)
- Solve for \( x \): \( x = 13 - 10 = 3 \)
- Answer: \( 7 + 6 = 10 + 3 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
4 + 4 = 5 + 3 & 7 + 4 = 10 + 1 \\
9 + 6 = 10 + 5 & 9 + 8 = 10 + 7 \\
7 + 8 = 9 + 6 & 6 + 5 = 8 + 3 \\
6 + 7 = 10 + 3 & 9 + 7 = 10 + 6 \\
8 + 8 = 10 + 6 & 6 + 5 = 10 + 1 \\
7 + 5 = 10 + 2 & 8 + 6 = 10 + 4 \\
9 + 5 = 10 + 4 & 5 + 8 = 10 + 3 \\
8 + 7 = 10 + 5 & 9 + 9 = 10 + 8 \\
6 + 6 = 10 + 2 & 7 + 6 = 10 + 3 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 10 addition facts worksheet.