Solved Exercises on Addition/Subtraction Worksheets in Grade 2

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

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

Addition Facts Worksheet: A structured set of basic addition problems for memorization and practice

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
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 structured set of basic subtraction problems for memorization and practice

Subtraction Facts Practice
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 worksheet containing both addition and subtraction problems

Mixed Operations Practice
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

Rules and methods, laws,...
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:

Worksheets: Structured practice sheets with organized problems

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: Practice worksheets daily to build automaticity with basic facts.
Tip 2: Use scratch paper to work out problems when needed.
Tip 3: Always line up numbers correctly in column addition/subtraction.
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: Practice sheet for vertical addition with regrouping

Column Addition Practice
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: Practice sheet for vertical subtraction with borrowing

Column Subtraction Practice
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: Practice with timed worksheets to build speed and accuracy.
Tip 2: Use manipulatives like base-ten blocks for hands-on practice.
Tip 3: Always check subtraction by adding your answer to the smaller number.
Tip 4: Keep worksheets neat and organized for better focus.
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: 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: Why do I need to line up numbers in column addition? Can't I just add them any way?

Answer: Lining up numbers by place value is crucial for accurate addition:

  • Place value system: Each position represents different values (ones, tens, hundreds)
  • Accurate calculation: Ones must be added to ones, tens to tens
  • Error prevention: Misalignment causes wrong answers
  • Future math: This skill is essential for more complex operations

Example: If you add 23 + 45 without lining up:
23
+45
___
Would give wrong results. But lined up:
23
+45
___
68 (correct!)

Always align the rightmost digits (ones place) when adding!

Question: How do I know if my subtraction answer is right? I often get the wrong number.

Answer: Here's how to check your subtraction answers:

  • Add back: Take your answer and add it to the number you subtracted
  • Should equal original: The sum should equal the first number in your subtraction
  • Example: For 15 - 7 = 8, check: 8 + 7 = 15 ✓
  • Estimate first: Before calculating, estimate to see if your answer is reasonable

Another method is to count up from your answer to the original number:

If 15 - 7 = 8, count from 8: 9, 10, 11, 12, 13, 14, 15. That's 7 numbers, so it's correct!

Checking your work takes extra time but prevents mistakes!