Solved Exercises on Addition Facts with 10 in Grade 2

Master addition facts with 10: number bonds, counting strategies, and mental math techniques through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Basic addition with 10
Exercise 1
Find the sum: 10 + 3 = ?
Definition:

Number bond with 10: Any number added to 10 equals that number with a 1 in front of it

Addition method:
  1. Start with 10
  2. Count up by the second number
  3. The answer is 10 plus the additional amount
Expression
10 + 3
Strategy
10 + 3 = 13
Step 1: Start with 10

We have 10 objects

Step 2: Add 3 more

Now we count: 11, 12, 13

Step 3: Count total

We have 13 objects altogether

10 + 3 = 13
Final answer:

10 + 3 = 13

Applied rules:

• Adding 10 rule: When adding 10 to any single digit, just put a 1 in front

• Commutative property: 10 + 3 = 3 + 10

• Place value: 10 + 3 = 1 ten and 3 ones = 13

2 Adding with 10 strategy
Exercise 2
Find the sum: 8 + 10 = ?
Definition:

Commutative property: The order of addition doesn't change the sum

Expression
8 + 10
Strategy
10 + 8 = 18
Step 1: Use commutative property

8 + 10 = 10 + 8

Step 2: Apply adding 10 rule

10 + 8 means 1 ten and 8 ones = 18

Step 3: Verify the answer

Count: 11, 12, 13, 14, 15, 16, 17, 18

8 + 10 = 18
Final answer:

8 + 10 = 18

Applied rules:

• Commutative property: a + b = b + a

• Adding 10 rule: Just put 1 in front of the other number

• Place value understanding: 1 ten + 8 ones = 18

3 Mental math with 10
Exercise 3
Find the sum: 10 + 7 = ?
Definition:

Mental math strategy: Use known facts about 10 to solve quickly

Expression
10 + 7
Mental strategy
Think 10 + 7 = 17
Step 1: Recognize the pattern

Any number added to 10 follows the pattern: 1 + that number

Step 2: Apply the pattern

10 + 7 means 1 ten and 7 ones = 17

Step 3: Check mentally

Start at 10, count 7 more: 11, 12, 13, 14, 15, 16, 17

Step 4: Confirm the answer

10 + 7 = 17

10 + 7 = 17
Final answer:

10 + 7 = 17

Applied rules:

• Pattern recognition: 10 + n = 1n (where n is a single digit)

• Place value: Understanding tens and ones

• Mental calculation: Using known facts to solve quickly

Addition Facts with 10 - Core Concepts
10 + n = 1n
Adding 10 Pattern
Rule 1
10 + 1 = 11
One more than 10
Rule 2
10 + 2 = 12
Two more than 10
Rule 3
10 + 3 = 13
Three more than 10
Rule 4
10 + 4 = 14
Four more than 10
Rule 5
10 + 5 = 15
Five more than 10
Rule 6
10 + 6 = 16
Six more than 10
Rule 7
10 + 7 = 17
Seven more than 10
Rule 8
10 + 8 = 18
Eight more than 10
Rule 9
10 + 9 = 19
Nine more than 10
Key definitions:

Addition: Combining two or more numbers to find their total

Sum: The result of adding numbers together

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

Place value: Understanding that digits represent different values based on their position

Addition strategies:
  1. Counting on: Start with the larger number and count up
  2. Using 10 as a benchmark: Know all facts with 10
  3. Commutative property: Change order to make it easier
  4. Visualizing: Picture 10 objects and more objects
Tip 1: Remember: 10 + any single digit always starts with 1!
Tip 2: Practice with manipulatives like base-10 blocks.
Tip 3: Use the "make 10" strategy for harder problems.
Tip 4: Always verify by counting to check your answer.
Common errors: Forgetting that adding 10 always creates a teen number, miscounting when starting from 10.
Memorization tip: Practice daily with flashcards for instant recall.
Addition facts with 10:

• 10 + 0 = 10 (adding zero doesn't change the number)

• 10 + 1 = 11 (one more than 10)

• 10 + 2 = 12 (two more than 10)

• 10 + 3 = 13 (three more than 10)

• 10 + 4 = 14 (four more than 10)

• 10 + 5 = 15 (five more than 10)

• 10 + 6 = 16 (six more than 10)

• 10 + 7 = 17 (seven more than 10)

• 10 + 8 = 18 (eight more than 10)

• 10 + 9 = 19 (nine more than 10)

Solution: Exercises 4 to 5
4 Advanced 10 addition
Exercise 4
Find the sum: 5 + 10 = ?
Definition:

Commutative property: Changing the order of addends doesn't change the sum

Expression
5 + 10
Strategy
10 + 5 = 15
Step 1: Apply commutative property

5 + 10 = 10 + 5

Step 2: Use adding 10 strategy

10 + 5 means 1 ten and 5 ones = 15

Step 3: Count to verify

Start at 10, count 5 more: 11, 12, 13, 14, 15

5 + 10 = 15
Final answer:

5 + 10 = 15

Applied rules:

• Commutative property: a + b = b + a

• Adding 10 rule: Just put 1 in front of the other number

• Verification: Always count to check your work

5 Multiple 10 addition
Exercise 5
Find the sum: 10 + 9 = ?
Definition:

Place value understanding: 10 represents one group of ten

Expression
10 + 9
Strategy
Think 10 + 9 = 19
Step 1: Recognize the pattern

Adding 9 to 10 means we get 1 ten and 9 ones

Step 2: Combine the values

1 ten + 9 ones = 19

Step 3: Verify by counting

Start at 10, count 9 more: 11, 12, 13, 14, 15, 16, 17, 18, 19

Step 4: Confirm the answer

10 + 9 = 19

10 + 9 = 19
Final answer:

10 + 9 = 19

Applied rules:

• Pattern recognition: 10 + n = 1n for single digits

• Place value: Understanding tens and ones

• Verification: Counting to ensure accuracy

Addition Facts with 10 - Complete Guide
10 + n = 1n
Adding 10 Pattern
Key definitions:

Addition: Combining two or more numbers to find their total

Sum: The result of adding numbers together

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

Place value: Understanding that digits represent different values based on their position

Complete methodology:
  1. Analyze the expression: Look for numbers that include 10
  2. Choose the method: Counting on, using 10 as a benchmark, or commutative property
  3. Apply the method: Follow the steps of the chosen technique
  4. Verify the result: By counting or using another method
Tip 1: To add 10 to any single digit number, just put 1 in front of it.
Tip 2: Use the commutative property to put 10 first when it's second.
Tip 3: Practice with visual aids like ten frames or number lines.
Tip 4: Always check your work by counting from 10.
Common errors: Forgetting that adding 10 always creates a teen number, miscounting when starting from 10.
Memory tip: Remember that 10 + any number 1-9 gives you 1 followed by that number.
Addition facts with 10:

• 10 + 0 = 10 (adding zero doesn't change the number)

• 10 + 1 = 11 (one more than 10)

• 10 + 2 = 12 (two more than 10)

• 10 + 3 = 13 (three more than 10)

• 10 + 4 = 14 (four more than 10)

• 10 + 5 = 15 (five more than 10)

• 10 + 6 = 16 (six more than 10)

• 10 + 7 = 17 (seven more than 10)

• 10 + 8 = 18 (eight more than 10)

• 10 + 9 = 19 (nine more than 10)

Visualization: Addition Patterns with 10
Addition Patterns
Consider the following addition patterns:
10 + 1 = 11
10 + 2 = 12
10 + 3 = 13
10 + 4 = 14
10 + 5 = 15

Analysis: The pattern shows that when adding 10 to any single digit, the result is always that digit preceded by 1.

  • 10 + 1 = 11 (1 with 1 in front)
  • 10 + 2 = 12 (2 with 1 in front)
  • 10 + 3 = 13 (3 with 1 in front)
  • 10 + 4 = 14 (4 with 1 in front)
  • 10 + 5 = 15 (5 with 1 in front)

Questions & Answers

Question: I don't understand why when I add 10 to any number, it just puts a 1 in front. Why does this happen?

Answer: Great question! This happens because of our number system called "base 10." In base 10:

  • Each place value is worth 10 times more than the place to its right
  • The first place (rightmost) is the "ones" place
  • The second place is the "tens" place

When you add 10 to a single digit number:

  • You're adding one "ten" to that many "ones"
  • So 10 + 3 means 1 ten and 3 ones = 13
  • Or 10 + 7 means 1 ten and 7 ones = 17

Think of it like having one full group of 10, plus some extra ones. That's why the number always starts with 1!

Question: My child struggles with 10 + 4 vs 4 + 10. How can I help them understand these are the same?

Answer: This demonstrates the "commutative property" of addition. Here's how to help:

  • Use physical objects: Have your child count out 10 items and 4 items, then combine them
  • Try it both ways: 10 + 4 and 4 + 10, showing the total is always 14
  • Draw pictures: Show 10 circles and 4 circles, then flip the order

The key insight: "It doesn't matter which order you add things together, you still get the same total!"

Once your child understands this, they can always rearrange to make 10 come first, which makes adding much easier!

Question: I sometimes forget if 10 + 6 is 16 or 15. How can I remember better?

Answer: Here are memory tricks for addition with 10:

  • Pattern rule: 10 + any single digit = 1 followed by that digit
  • Counting strategy: Start at 10 and count up: 10, 11, 12, 13, 14, 15, 16
  • Visual strategy: Think of 10 as a full group, then add the other number

For 10 + 6 specifically:

  • 10 + 6 means 1 ten and 6 ones = 16
  • Count: 10, 11, 12, 13, 14, 15, 16
  • Remember: 10 + 6 = 16 (the numbers match!)

Practice with manipulatives like base-10 blocks to build a strong foundation!

Question: How can I check if my answer is correct when adding 10 to a number?

Answer: Here are reliable methods to check your addition with 10:

Method 1 - Counting:

  • Start at 10 and count up by the second number
  • Example: For 10 + 4, count 11, 12, 13, 14

Method 2 - Place Value:

  • 10 + n = 1 ten and n ones = 1n
  • Example: 10 + 4 = 1 ten and 4 ones = 14

Method 3 - Pattern Recognition:

  • Remember that 10 + any single digit always starts with 1
  • The second digit is always the number you're adding to 10

These methods help build confidence and catch errors!

Question: What's the fastest way to solve problems like 10 + 7 or 3 + 10?

Answer: Here's the fastest mental math strategy for adding 10:

  1. Recognize the pattern: If you see 10 + n or n + 10, the answer is always 1n
  2. Rearrange if needed: Change n + 10 to 10 + n using the commutative property
  3. Apply the shortcut: Just put 1 in front of the other number

Examples:

  • 10 + 7 = 17 (just put 1 in front of 7)
  • 3 + 10 = 10 + 3 = 13 (put 1 in front of 3)
  • 10 + 9 = 19 (put 1 in front of 9)

This pattern works for all single-digit numbers added to 10. With practice, you'll know these instantly!