Solved Exercises on Addition Facts with Answers in Grade 2

Master addition facts with answers: number bonds, counting strategies, and mental math techniques through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Basic addition facts
Exercise 1
Find the sum: 5 + 3 = ?
Definition:

Addition: Combining two or more numbers to find their total

Sum: The answer when you add numbers together

Addition method:
  1. Start with the first number (5)
  2. Count up by the second number (3 more)
  3. Count: 6, 7, 8
  4. The answer is 8
Expression
5 + 3
Strategy
Counting on
Answer
8
Step 1: Start with 5

We have 5 objects

Step 2: Add 3 more

Now we count: 6, 7, 8

Step 3: Count total

We have 8 objects altogether

5 + 3 = 8
Final answer:

5 + 3 = 8

Applied rules:

• Counting on: Start with the larger number and count up

• Addition principle: Combining groups to find the total

• Verification: Always check by counting to confirm the answer

2 Number bonds to 10
Exercise 2
Find the sum: 6 + 4 = ?
Definition:

Number bond: Two numbers that add up to make a specific total

Part-whole relationship: Smaller parts combine to make the whole

Expression
6 + 4
Number bond
Makes 10
Answer
10
Step 1: Recognize the number bond

6 and 4 are partners that make 10

Step 2: Apply the number bond fact

6 + 4 = 10

Step 3: Verify by counting

Count: 7, 8, 9, 10

6 + 4 = 10
Final answer:

6 + 4 = 10

Applied rules:

• Number bonds: Pairs of numbers that add to 10 (1+9, 2+8, 3+7, 4+6, 5+5)

• Part-whole thinking: Understanding how parts combine

• Memorization: Knowing number bonds helps solve problems quickly

3 Doubles facts
Exercise 3
Find the sum: 7 + 7 = ?
Definition:

Doubles fact: Adding the same number twice (e.g., 7 + 7)

Double meaning: Twice as much as the original number

Expression
7 + 7
Doubles fact
Double 7
Answer
14
Step 1: Recognize it's a doubles fact

This is 7 doubled

Step 2: Apply doubles strategy

7 + 7 = double 7 = 14

Step 3: Count to verify

Start at 7, count 7 more: 8, 9, 10, 11, 12, 13, 14

Step 4: Confirm the answer

7 + 7 = 14

7 + 7 = 14
Final answer:

7 + 7 = 14

Applied rules:

• Doubles facts: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10, 6+6=12, 7+7=14, 8+8=16, 9+9=18

• Doubling: Adding a number to itself

• Mental math: Doubles facts are building blocks for other addition

Addition Facts with Answers - Core Concepts
a + b = c
Addition Formula
Doubles
1+1=2
One plus one
Doubles
2+2=4
Two plus two
Doubles
3+3=6
Three plus three
Doubles
4+4=8
Four plus four
Doubles
5+5=10
Five plus five
Doubles
6+6=12
Six plus six
Doubles
7+7=14
Seven plus seven
Doubles
8+8=16
Eight plus eight
Doubles
9+9=18
Nine plus nine
Make 10
1+9=10
One and nine
Make 10
2+8=10
Two and eight
Make 10
3+7=10
Three and seven
Make 10
4+6=10
Four and six
Make 10
5+5=10
Five and five
Key definitions:

Addition: Combining two or more numbers to find their total

Sum: The result of adding numbers together

Addend: The numbers being added together

Number bond: A relationship showing how numbers combine to make a total

Fact family: Related addition and subtraction facts using the same numbers

Addition strategies:
  1. Counting on: Start with the larger number and count up
  2. Using doubles: Know doubles facts to solve near-doubles
  3. Make 10: Break apart numbers to make 10 first
  4. Commutative property: Change order to make it easier
  5. Visualizing: Picture objects being combined
Tip 1: Practice doubles facts daily for quick recall.
Tip 2: Use fingers or manipulatives to visualize addition.
Tip 3: Remember that adding 0 doesn't change the number.
Tip 4: Always verify by counting to check your answer.
Common errors: Starting to count from the first number instead of the next number, forgetting that order doesn't matter in addition.
Memorization tip: Sing or chant addition facts to make them stick.
Addition properties:

• Commutative Property: a + b = b + a (order doesn't matter)

• Identity Property: a + 0 = a (adding zero doesn't change the number)

• Associative Property: (a + b) + c = a + (b + c) (grouping doesn't matter)

Solution: Exercises 4 to 5
4 Near doubles
Exercise 4
Find the sum: 8 + 9 = ?
Definition:

Near doubles: Addition facts close to doubles (like 8 + 9, which is close to 8 + 8)

Expression
8 + 9
Near double
8 + 8 + 1
Answer
17
Step 1: Recognize it's a near double

8 + 9 is close to 8 + 8 (a doubles fact)

Step 2: Use the doubles fact

8 + 8 = 16, so 8 + 9 = 16 + 1 = 17

Step 3: Count to verify

Start at 8, count 9 more: 9, 10, 11, 12, 13, 14, 15, 16, 17

8 + 9 = 17
Final answer:

8 + 9 = 17

Applied rules:

• Near doubles strategy: Use known doubles facts to solve nearby problems

• Compensation: Adjust one number and compensate in the answer

• Building on known facts: Use what you know to figure out what you don't

5 Make 10 strategy
Exercise 5
Find the sum: 9 + 6 = ?
Definition:

Make 10 strategy: Break apart one number to make 10 first, then add the rest

Expression
9 + 6
Make 10
9 + 1 + 5
Answer
15
Step 1: Look for how to make 10

9 needs 1 more to make 10

Step 2: Break apart the second number

6 = 1 + 5

Step 3: Regroup to make 10

9 + 6 = 9 + 1 + 5 = 10 + 5 = 15

Step 4: Confirm the answer

9 + 6 = 15

9 + 6 = 15
Final answer:

9 + 6 = 15

Applied rules:

• Make 10 strategy: Break apart numbers to create easier addition with 10

• Decomposition: Breaking numbers into parts to make computation easier

• Regrouping: Rearranging numbers to make the problem simpler

Addition Facts with Answers - Complete Summary
a + b = c
Addition Formula
Key definitions:

Addition: The operation of combining two or more numbers to find their total

Sum: The answer when you add numbers together

Addend: The numbers being added together

Number bond: A relationship showing how numbers combine to make a total

Fact family: Related addition and subtraction facts using the same numbers

Complete methodology:
  1. Analyze the expression: Look for patterns (doubles, near doubles, make 10)
  2. Choose the method: Counting on, using known facts, or decomposition
  3. Apply the method: Follow the steps of the chosen technique
  4. Verify the result: By counting or using another method
Tip 1: Master doubles facts first - they're building blocks for other addition.
Tip 2: Use the make 10 strategy for numbers close to 10.
Tip 3: Practice with visual aids like ten frames or number lines.
Tip 4: Always check your work by counting from the first number.
Common errors: Starting to count from the first number instead of the next number, forgetting that order doesn't matter in addition.
Memory tip: Remember that addition facts are like friends - they work together!
Addition facts families:

Doubles: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10, 6+6=12, 7+7=14, 8+8=16, 9+9=18

Make 10: 1+9=10, 2+8=10, 3+7=10, 4+6=10, 5+5=10

Plus 1: 1+1=2, 2+1=3, 3+1=4, 4+1=5, 5+1=6, 6+1=7, 7+1=8, 8+1=9, 9+1=10

Plus 2: 1+2=3, 2+2=4, 3+2=5, 4+2=6, 5+2=7, 6+2=8, 7+2=9, 8+2=10, 9+2=11

Visualization: Addition Fact Families
Addition Patterns
Consider the following addition patterns:
1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10
1+9=10, 2+8=10, 3+7=10, 4+6=10, 5+5=10

Analysis: These patterns show important relationships in addition:

  • Doubles facts: Each number added to itself
  • Make 10 facts: Pairs that combine to equal 10
  • These facts serve as building blocks for more complex addition

Questions & Answers

Question: Why do we learn addition facts? Isn't it easier to just count everything?

Answer: Learning addition facts is like learning your alphabet - it builds the foundation for everything that comes next! Here's why:

  • Speed: Knowing facts means you can solve problems faster
  • Confidence: When you know basic facts, math feels less scary
  • Advanced math: You'll need these facts for bigger addition, subtraction, multiplication, and division
  • Real life: We use addition facts when shopping, cooking, and playing games

Counting works for now, but knowing facts helps you solve harder problems later!

Question: My child knows 5 + 5 = 10, but struggles with 5 + 6. How can I help?

Answer: This is a perfect opportunity to teach the "near doubles" strategy! Since your child knows 5 + 5 = 10:

  • Point out that 5 + 6 is just one more than 5 + 5
  • Show: 5 + 5 = 10, so 5 + 6 = 10 + 1 = 11
  • Use manipulatives: Have them set up 5 + 5, then add one more

This teaches them to build on what they already know, which is a powerful math skill!

Other examples: 6 + 7 is one more than 6 + 6, 8 + 9 is one more than 8 + 8

Question: I sometimes forget if 8 + 4 is 12 or 13. How can I remember better?

Answer: Here are several memory tricks for 8 + 4:

Method 1 - Make 10:

  • Take 2 from the 4 to make 8 into 10
  • That leaves 2 from the 4
  • So 10 + 2 = 12

Method 2 - Counting:

  • Start at 8, count 4 more: 9, 10, 11, 12

Method 3 - Near double:

  • 8 + 4 is close to 8 + 3 (which is 11)
  • So 8 + 4 = 12

Practice with these methods until one feels natural to you!

Question: How can I check if my addition answer is correct?

Answer: Here are reliable methods to check your addition:

Method 1 - Counting:

  • Start with the first number and count up by the second number
  • Example: For 7 + 3, count 8, 9, 10

Method 2 - Subtraction:

  • Take your answer and subtract one of the addends
  • If you get the other addend, your answer is correct
  • Example: 7 + 3 = 10, then 10 - 7 = 3 ✓

Method 3 - Estimate:

  • Your answer should be bigger than both numbers you started with
  • Example: 7 + 3 should be bigger than 7 and bigger than 3

These methods help build confidence and catch errors!

Question: What's the fastest way to get better at addition facts?

Answer: Here are the most effective strategies for mastering addition facts:

  1. Focus on patterns: Learn doubles first (2+2, 3+3, etc.), then near doubles
  2. Use the "make 10" strategy: This helps with many addition problems
  3. Practice daily: Even 10 minutes a day makes a big difference
  4. Play games: Use flashcards, apps, or online games to make practice fun

Most importantly, don't try to memorize everything at once. Focus on one strategy at a time and build gradually!