Addition as Combining Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Addition as Combining.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Understanding addition as joining or combining two or more quantities to form a larger whole amount.

When you pour two cups of water together, you get their combined amount.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Addition models the action of joining, combining, or aggregating quantities.

Common stuck point: Seeing addition only as 'the answer' rather than an action of combining.

Sense of Study hint: Try acting it out with objects: push two groups together and count the total to see combining in action.

Worked Examples

Example 1

easy
There are 4 yellow crayons in one box and 3 blue crayons in another box. If you put all the crayons together, how many crayons do you have?

Solution

  1. 1
    Think of combining: put the 4 yellow and 3 blue crayons into one group.
  2. 2
    Write: \(4 + 3 = ?\)
  3. 3
    Count all together: 1, 2, 3, 4, 5, 6, 7.
  4. 4
    There are 7 crayons in all.

Answer

7 crayons
Addition as combining means joining two separate groups into one big group. The total tells us how many there are altogether.

Example 2

medium
Group A has 5 stickers. Group B has 8 stickers. You combine both groups. How many stickers are there in all?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
You have 2 dogs and your friend has 6 dogs. How many dogs are there in all when you combine your groups?

Example 2

medium
A farmer has 9 cows in one field and 7 cows in another field. The farmer opens the gate and the cows join together. How many cows are there now?
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Background Knowledge

These ideas may be useful before you work through the harder examples.

counting