Basic Addition

When you add, you combine two or more numbers to get a sum. The numbers being added are called addends.

Simple Facts

3 + 4 = 7    6 + 2 = 8    5 + 5 = 10

Using a Number Line

Start at 3 on the number line. Jump 4 spaces to the right. You land on 7.

A great strategy: always start with the larger number and count up. For 3 + 7, start at 7 and count up 3 more: 8, 9, 10.

Basic Subtraction

Subtraction finds the difference between two numbers. You start with a total and take away part of it.

Simple Facts

9 − 3 = 6    10 − 4 = 6    7 − 7 = 0

On a number line, subtraction means jumping left. Start at 9, jump 3 left: 8, 7, 6. Answer: 6.

Fact Families Addition and subtraction are linked. If 4 + 5 = 9, then 9 − 5 = 4 and 9 − 4 = 5. Knowing one fact gives you three more!

Adding & Subtracting Two-Digit Numbers

Line up the ones column, then the tens column. Always start with the ones place.

Addition with Carrying

  38
+ 45
----
   3  (carry the 1)
  83

8 + 5 = 13. Write 3, carry 1. Then 3 + 4 + 1 = 8. Answer: 83.

Subtraction with Borrowing

  52
- 27
----
  25

You cannot do 2 − 7, so borrow 1 ten from the 5. Now 12 − 7 = 5, and 4 − 2 = 2. Answer: 25.

Word Problems

Read carefully and decide whether to add or subtract.

Add: "How many in all?"

Sam has 6 apples. He gets 8 more. How many does he have? 6 + 8 = 14

Subtract: "How many are left?"

There are 15 birds. 7 fly away. How many are left? 15 − 7 = 8

Key words for addition: altogether, total, in all, combined, more than. Key words for subtraction: left, remain, fewer, difference, take away.

Quick Quiz

Test what you just learned. Choose the best answer for each question.