Introduction to Addition
Addition is the process of bringing two or more quantities together to find a total. It is the very first operation most people learn, and it underpins everything from counting change to calculating rocket fuel.
What Does Addition Mean?
When you add, you combine separate amounts into one. If you have 3 apples in one bowl and 5 apples in another, adding them gives you 8 apples altogether.
The Addition Symbol
The symbol for addition is the plus sign (+). It was first used in Germany in the 1400s and is now recognised worldwide. The equals sign (=) shows that both sides have the same value.
Key Properties of Addition
| Property | What it means | Example |
|---|---|---|
| Commutative | Order does not change the total | 4 + 6 = 6 + 4 = 10 |
| Associative | Grouping does not change the total | (2 + 3) + 4 = 2 + (3 + 4) = 9 |
| Identity | Adding zero leaves a number unchanged | 7 + 0 = 7 |
Simple Examples
4 + 3 = ?
Start at 4, count on 3 more: 5, 6, 7. Answer: 7
25 + 14 = ?
Tens: 20 + 10 = 30. Ones: 5 + 4 = 9. Total: 30 + 9 = 39
147 + 256 = ?
Ones: 7 + 6 = 13, write 3 carry 1. Tens: 4 + 5 + 1 = 10, write 0 carry 1. Hundreds: 1 + 2 + 1 = 4. Answer: 403
Real-Life Applications
- Counting the total number of items in a shopping basket.
- Totalling scores in a game.
- Calculating the combined distance of two journeys.
- Finding the total calories in a meal.
Key Takeaways
- Addition combines two or more numbers into a total called the sum.
- The order of addends does not affect the result (commutative property).
- Adding zero to any number gives that same number.
- Addition is the inverse of subtraction.
Practice Questions
- Calculate 6 + 9.
- Find 34 + 21.
- What is 0 + 58?
- Add 7 + 8 + 5.
- A book has 124 pages in part one and 89 pages in part two. How many pages are there in total?