## Integers

Subject: Compulsory Maths

#### Overview

Integers are all of the positive and negative whole numbers, and zero. Integers are not fractions or decimal numbers.

##### Integers

An integer is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 1⁄2, and √2 are not.

### Addition of Integers

To add two integers with the same signs add their absolute values and select their common sign. For example,

1 + 2 =3, (-1 ) + ( -2) = -3

To add two integers with the opposite signs, take a bigger absolute value, subtract a smaller absolute value and select a sign of bigger absolute. For example,

-3 + 5 = 2, 3 + ( -5 ) = - 2

### Subtraction of Integers

To subtract a positive integer means to add a negative integer. Instead of saying " Nine minus twelve" say "Nine minus Twelve" and then use the rule of adding integers with the opposite signs.

9 - 12 = 9 + ( -12) = -3

Instead of saying " Negative six minus eight" say negative plus negative eight and then use the rule of adding integers with the same signs.

- 6 -8 = -6 + (-8) = -14

Look at the following example;

a) -8 -12

Translate to addition: ( -8) + (-12)

Add two integers with the same signs: - 20

Thus, - 8 -12 = -20

##### Things to remember
• To add two integers with the same signs add their absolute values and select their common sign.
• To subtract a positive integer means to add a negative integer.
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