Solved Exercises on Free Addition/Subtraction Worksheets in Grade 2

Master addition and subtraction within 100: free printable resources, skill development, and comprehensive practice through these 5 detailed worksheet-style exercises.

Solution: Exercises 1 to 3
1 Basic Addition Facts Worksheet
Exercise 1
Complete the addition facts worksheet:
6 + 5 = ?
8 + 7 = ?
9 + 3 = ?
4 + 8 = ?
7 + 6 = ?
5 + 9 = ?
Definition:

Basic Addition Facts Worksheet: A free printable resource for practicing fundamental addition combinations

Addition Facts Strategy:
  1. Start with known facts (doubles, make 10)
  2. Use counting on for unfamiliar combinations
  3. Look for patterns and relationships
  4. Practice regularly for automatic recall
Addition Facts Practice - Page 1
Name: ___________ Date: ___________
1.
6 + 5 =
11
2.
8 + 7 =
15
3.
9 + 3 =
12
4.
4 + 8 =
12
5.
7 + 6 =
13
6.
5 + 9 =
14
Step 1: 6 + 5

Count on from 6: 7, 8, 9, 10, 11

Step 2: 8 + 7

Use the fact that 8 + 2 = 10, then 10 + 5 = 15

Step 3: 9 + 3

Think 9 + 1 = 10, then 10 + 2 = 12

Step 4: 4 + 8

Use commutative property: 4 + 8 = 8 + 4 = 12

All answers: 11, 15, 12, 12, 13, 14
Final answer:

6 + 5 = 11, 8 + 7 = 15, 9 + 3 = 12, 4 + 8 = 12, 7 + 6 = 13, 5 + 9 = 14

Applied rules:

• Commutative Property: a + b = b + a

• Make Ten Strategy: Use 10 as a benchmark

• Counting On: Start with larger number and count up

2 Subtraction Facts Worksheet
Exercise 2
Complete the subtraction facts worksheet:
13 - 7 = ?
15 - 8 = ?
12 - 5 = ?
14 - 6 = ?
11 - 4 = ?
16 - 9 = ?
Definition:

Subtraction Facts Worksheet: A free printable resource for practicing fundamental subtraction combinations

Subtraction Facts Practice - Page 2
Name: ___________ Date: ___________
1.
13 - 7 =
6
2.
15 - 8 =
7
3.
12 - 5 =
7
4.
14 - 6 =
8
5.
11 - 4 =
7
6.
16 - 9 =
7
Step 1: 13 - 7

Think: 7 + ? = 13. We know 7 + 6 = 13, so 13 - 7 = 6

Step 2: 15 - 8

Count back from 15: 14, 13, 12, 11, 10, 9, 8, 7

Step 3: 12 - 5

Use addition fact: 5 + 7 = 12, so 12 - 5 = 7

Step 4: 14 - 6

Think: 6 + ? = 14. We know 6 + 8 = 14, so 14 - 6 = 8

All answers: 6, 7, 7, 8, 7, 7
Final answer:

13 - 7 = 6, 15 - 8 = 7, 12 - 5 = 7, 14 - 6 = 8, 11 - 4 = 7, 16 - 9 = 7

Applied rules:

• Inverse Relationship: Addition and subtraction are opposites

• Counting Back: Count backwards from the larger number

• Fact Families: Use known addition facts to solve subtraction

3 Mixed Operations Worksheet
Exercise 3
Complete the mixed operations worksheet:
25 + 17 = ?
43 - 18 = ?
36 + 14 = ?
52 - 27 = ?
19 + 24 = ?
61 - 35 = ?
Definition:

Mixed Operations Worksheet: A free printable resource with both addition and subtraction problems

Mixed Operations Practice - Page 3
Name: ___________ Date: ___________
1.
25 + 17 =
42
2.
43 - 18 =
25
3.
36 + 14 =
50
4.
52 - 27 =
25
5.
19 + 24 =
43
6.
61 - 35 =
26
Step 1: 25 + 17

Add tens: 20 + 10 = 30, add ones: 5 + 7 = 12, total: 30 + 12 = 42

Step 2: 43 - 18

Since 3 < 8, borrow: 43 = 30 + 13, then 30 - 10 = 20, 13 - 8 = 5, total: 25

Step 3: 36 + 14

Add tens: 30 + 10 = 40, add ones: 6 + 4 = 10, total: 40 + 10 = 50

Step 4: 52 - 27

Since 2 < 7, borrow: 52 = 40 + 12, then 40 - 20 = 20, 12 - 7 = 5, total: 25

All answers: 42, 25, 50, 25, 43, 26
Final answer:

25 + 17 = 42, 43 - 18 = 25, 36 + 14 = 50, 52 - 27 = 25, 19 + 24 = 43, 61 - 35 = 26

Applied rules:

• Place Value: Add or subtract tens and ones separately

• Borrowing: When top digit is smaller, borrow from higher place

• Carrying: When sum exceeds 9, carry to higher place

Free Printable Resources
a + b = c
Addition Formula
Commutative
a + b = b + a
Order doesn't matter
Associative
(a + b) + c = a + (b + c)
Grouping doesn't matter
Identity
a + 0 = a
Adding zero doesn't change
Key definitions:

Free Worksheets: Printable practice sheets available at no cost

Addition: Combining quantities to find a total

Subtraction: Finding the difference or removing a quantity

Place Value: The value of a digit based on its position

Worksheet Completion Strategy:
  1. Survey First: Look over the entire worksheet
  2. Start Easy: Begin with familiar problems
  3. Work Systematically: Move through problems in order
  4. Check Regularly: Verify answers periodically
  5. Review Completed: Double-check work before submitting
Tip 1: Print worksheets on colored paper to make them more engaging.
Tip 2: Laminate worksheets for repeated use with dry erase markers.
Tip 3: Create a reward system for completing worksheets.

Addition Facts

Basic addition combinations to 20

Download PDF

Subtraction Facts

Basic subtraction combinations to 20

Download PDF

Mixed Operations

Both addition and subtraction problems

Download PDF

Column Addition

Vertical addition with regrouping

Download PDF
Solution: Exercises 4 to 5
4 Column Addition Worksheet
Exercise 4
Complete the column addition worksheet:
47
+25
___

38
+16
___

54
+29
___

63
+18
___
Definition:

Column Addition Worksheet: Free printable practice for vertical addition with regrouping

Column Addition Practice - Page 4
Name: ___________ Date: ___________
1.
47
+25
___
72
2.
38
+16
___
54
3.
54
+29
___
83
4.
63
+18
___
81
Step 1: Align by place value

Line up ones under ones, tens under tens

Step 2: Add ones column first

For 47 + 25: 7 + 5 = 12 ones

Step 3: Regroup if necessary

Write 2 in ones place, carry 1 ten to tens column

Step 4: Add tens column

4 + 2 + 1 (carried) = 7 tens

Step 5: Write final answer

7 tens and 2 ones = 72

72, 54, 83, 81
Final answer:

47 + 25 = 72, 38 + 16 = 54, 54 + 29 = 83, 63 + 18 = 81

Applied rules:

• Place Value Alignment: Keep digits in correct columns

• Regrouping: When ones exceed 9, carry to tens column

• Sequential Addition: Add ones first, then tens

5 Column Subtraction Worksheet
Exercise 5
Complete the column subtraction worksheet:
53
-27
___

62
-35
___

41
-18
___

74
-29
___
Definition:

Column Subtraction Worksheet: Free printable practice for vertical subtraction with borrowing

Column Subtraction Practice - Page 5
Name: ___________ Date: ___________
1.
53
-27
___
26
2.
62
-35
___
27
3.
41
-18
___
23
4.
74
-29
___
45
Step 1: Align by place value

Line up ones under ones, tens under tens

Step 2: Check if borrowing is needed

In 53 - 27, we need to subtract 7 from 3 in ones column

Step 3: Borrow from tens column

53 becomes 4 tens and 13 ones (53 = 40 + 13)

Step 4: Subtract ones column

13 - 7 = 6 ones

Step 5: Subtract tens column

4 - 2 = 2 tens

26, 27, 23, 45
Final answer:

53 - 27 = 26, 62 - 35 = 27, 41 - 18 = 23, 74 - 29 = 45

Applied rules:

• Place Value Alignment: Keep digits in correct columns

• Borrowing: When top digit is smaller, borrow from higher place

• Verification: Check by adding the answer to the subtracted number

Add list of laws, methods, rules, definitions, expressions,.... Generate well SEO title for this section
a + b - c = d
Mixed Operations
Key definitions:

Addition: Combining two or more numbers to get a total

Subtraction: Taking away one number from another

Place Value: The value of a digit based on its position (ones, tens, hundreds)

Regrouping: Moving from one place value to another (carrying/borrowing)

Addition/Subtraction Methods:
  1. Counting On: Start with larger number and count up
  2. Make Ten: Use 10 as a benchmark for easier calculation
  3. Column Method: Align by place value and calculate by column
  4. Fact Families: Use related addition/subtraction facts
  5. Compensation: Adjust numbers to make calculations easier
Tip 1: Use online worksheet generators for unlimited practice.
Tip 2: Organize worksheets by difficulty level.
Tip 3: Create a progress tracking chart.
Tip 4: Set aside dedicated time for worksheet practice.
Common errors: Misaligning columns, forgetting to carry/borrow, misreading signs.
Practice recommendations: Daily worksheets, varied problem types, regular review.
Essential Rules:

• Commutative Property: a + b = b + a

• Associative Property: (a + b) + c = a + (b + c)

• Identity Property: a + 0 = a

• Inverse Operations: Addition and subtraction undo each other

Exercise with Visualization: Practice Progress
Exercise 6: Skills Development
Track your improvement: Week 1: 15/20 correct, Week 2: 18/20, Week 3: 19/20

Analysis: Consistent practice leads to improvement in addition/subtraction skills.

  • Week 1: 75% accuracy
  • Week 2: 90% accuracy
  • Week 3: 95% accuracy

Questions & Answers

Question: Where can I find more free addition and subtraction worksheets for my child?

Answer: Here are great sources for free addition and subtraction worksheets:

  • Educational websites: Khan Academy, Math-Aids.com, Super Teacher Worksheets
  • Government education sites: Many state departments offer free resources
  • Library databases: Often provide access to premium worksheet sites
  • Worksheet generators: Sites like Math Fact Cafe allow custom worksheets

Look for sites that align with your child's grade level standards and offer progressive difficulty.

Always preview worksheets to ensure they match your child's current skill level!

Question: I make mistakes when I have to carry in addition. How can I remember to do it?

Answer: Here are strategies to remember carrying in addition:

  • Circle the carry: When you get 10 or more in a column, circle the number to carry
  • Say it out loud: "I have 12 ones, so I write down 2 and carry 1 ten"
  • Write small: Write the carried number in a smaller size above the next column
  • Check immediately: After carrying, add the carried number to the next column right away

Example: In 27 + 15, when adding 7 + 5 = 12, write 2 in the ones place and put a small 1 above the tens column, then add 1 + 2 + 1 = 4 in the tens place.

Practice with smaller numbers first until carrying becomes natural!

Question: How can I make free worksheets more engaging for my students?

Answer: Here are ways to make free worksheets more engaging:

  • Themed worksheets: Use seasonal or holiday themes
  • Color coding: Have students color-code different problem types
  • Timed challenges: Set goals for completion speed
  • Self-checking: Provide answer keys for immediate feedback
  • Progress tracking: Create charts to show improvement

Consider laminating worksheets and using dry erase markers for repeated practice.

Add game-like elements such as earning stars for correct answers!