Class 1 Notes - Addition

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Addition is one of the basic operations in mathematics that helps us combine two or more numbers to find their total. It is an essential skill that lays the foundation for many other mathematical concepts.

What is Addition?

Addition means putting numbers together to find their total or sum. The symbol for addition is +, and the answer to an addition problem is called the sum.

Example:

3 + 2 = 5

Here, 3 and 2 are added to get the sum, which is 5.

Properties of Addition

1. Commutative Property

The order of numbers does not change the result of addition.

Example:

4 + 3 = 7 and 3 + 4 = 7

2. Associative Property

The grouping of numbers does not change the result of addition.

Example:

(2 + 3) + 4 = 9 and 2 + (3 + 4) = 9

3. Additive Identity

Adding 0 to any number does not change its value.

Example:

5 + 0 = 5

Techniques for Addition

1. Counting on Fingers

Use fingers to count and add small numbers.

2. Using a Number Line

Jump forward on the number line to add numbers.

Example:

To add 3 + 2, start at 3 on the number line and jump 2 steps forward to reach 5.

3. Adding Single-Digit Numbers

Use mental math or objects like counters to add numbers quickly.

4. Adding Two-Digit Numbers

When adding two-digit numbers, add the tens and ones separately and then combine them.

Example:

23 + 12:

  • Add tens: 20 + 10 = 30
  • Add ones: 3 + 2 = 5
  • Combine: 30 + 5 = 35

Word Problems

Word problems help relate addition to real-life situations. Read the problem carefully, identify the numbers to be added, and find the sum.

Example:

There are 3 apples in one basket and 4 apples in another basket. How many apples are there in total?

Solution: 3 + 4 = 7 apples

Practice Problems

  1. Add 6 and 8.
  2. What is the sum of 15 and 10?
  3. A basket has 12 oranges, and another has 9 oranges. How many oranges are there in total?
  4. Find the sum of 25 and 35.
  5. There are 7 boys and 5 girls in a class. How many students are there in total?

Conclusion

Addition is a simple yet essential mathematical skill that is used in daily life. From counting objects to solving complex problems, addition is the starting point for mathematical learning. Regular practice and understanding of its properties and techniques will help students master this concept.