The integers are the positive and negative whole numbers and include zero.

I = {...-4, -3, -2, -1, 0, 1, 2, 3, 4...}

Use a number line when adding and subtracting integers. The first integer is the starting point on the number line.

Addition

  • When adding a positive integer, move to the right.

    e.g. 4 + 2 = 6

Y9_Integers_03.gif
  • When adding a negative integer, move to the left.

    e.g. 4 + − 2 = 2

Y9_Integers_04.gif

Subtraction

  • When subtracting a positive integer, move to the left.

    e.g. 4 − 2 = 2

Y9_Integers_05.gif
  • When subtracting a negative integer, move to the right.

    e.g. 4 − − 2 = 6

Y9_Integers_06.gif

 

Multiplication and division

The rule is the same for both multiplying and dividing two integers.

  • If the signs of the two integers are the same, the answer is positive.
  • If the signs of the two integers are different, the answer is negative.

The table illustrates these rules:

×/÷
+ve
−ve
+ve
+
-ve
+

Examples:

For multiplication
For division
5 × 2 = 10
5 ÷ 2 = 2.5
- 5 × − 2 = 10
- 5 ÷ − 2 = 2.5
5 × − 2 = -10
5 ÷ − 2 = − 2.5
- 5 × 2 = − 10
- 5 ÷ 2 = − 2.5

 

For practice with integer calculations − Y9_Integers_01.gif