Integers and Number line

Integers

Integers consist of negative integers, zero and positive integers.

Example:

0 is an integer but is neither positive nor negative.

Negative numbers have a ‘–’ sign before them.

Example:

–3 is read as “negative three”

+6 or 6 is read as “positive six” or “six”

The opposite of a number is the number with the sign changed.

Example:

The opposite of 4 is –4

The opposite of –6 is 6

Since 0 is neither positive nor negative, the opposite of 0 is also 0.

Number Line

Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero.

Example:

An integer on the horizontal number line is greater than the number on its left and less than the number on its right.

Example:

–1 is greater than –2 and less than 0.

We can also write it as –1 > –2 and –1 < 0.

Recall that “>” means greater than and “<” means less than.

This means that all the integers on the number line are arranged in ascending order from left to right.

On the number line, moving to the right is positive.

The following video shows some examples of number line problems.

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