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Mathematics
Lesson 9 of 3,1211. Numbers and Arithmetic FoundationsFree lesson

Understanding Addition as Combining

Learn what addition means by combining groups of objects and writing addition sentences.

Understanding Addition as Combining

What you'll learn: You'll discover that addition means putting groups of objects together to find out how many you have in total.

The Core Idea

Addition is simply combining or putting together separate groups to make one larger group. When you add, you're answering the question: "If I have this many and I get this many more, how many do I have altogether?"

Think of it like this: Imagine you have 3 apples in one basket and 2 apples in another basket. If you pour all the apples into one big basket, you now have 5 apples total. That's addition!

Writing Addition Sentences

We write this combining action using an addition sentence with special symbols:

  • The plus sign (+) means "combine" or "put together"
  • The equals sign (=) means "makes" or "results in"

So our apple example becomes:

3 + 2 = 5

We read this as "three plus two equals five" or "three and two makes five."

Real-World Examples

  • You have 4 toy cars. Your friend gives you 3 more. How many cars do you have now? 4 + 3 = 7
  • There are 5 birds on a branch. Then 2 more birds land. How many birds in total? 5 + 2 = 7
  • You count 6 red balloons and 1 blue balloon. How many balloons altogether? 6 + 1 = 7

In each case, you're combining separate groups into one total amount.

Key Takeaway: Addition means combining groups of objects together; we write it using the plus sign (+) and describe the total with an addition sentence like 3 + 2 = 5.