Education.com
Try
Brainzy
Try
Plus

# Number Relations: GED Test Prep (page 4)

By
Updated on Mar 9, 2011

### Number Lines and Signed Numbers

You have probably dealt with number lines before. The concept of the number line is simple: Less than is to the left and greater than is to the right.

### Absolute Value

The absolute value of a number or expression is always positive because it is the distance of a number from zero on a number line.

Example

|–1| = 1

|2 – 4| = |– 2| = 2

### Working with Integers

An integer is a positive or negative whole number. Here are some rules for working with integers:

### Multiplying and Dividing

(+) × (+) = +         (+) ÷ (+) = +
(+) × (–) = –         (+) ÷ (–) = –
(–) × (–) = +         (–) ÷ (–) = +

A simple way to remember these rules: If the signs are the same when multiplying or dividing, the answer will be positive, and if the signs are different, the answer will be negative.

Adding the same sign results in a sum of the same sign:

(+) + (+) = +
(–) + (–) = –

When adding numbers of different signs, follow this two-step process:

1. Subtract the absolute values of the numbers.
2. Keep the sign of the larger number.

Example

–2 + 3 =

1. Subtract the absolute values of the numbers: 3 – 2 = 1
2. The sign of the larger number (3) was originally positive, so the answer is positive 1.

Example

8 + –11 =

1. Subtract the absolute values of the numbers: 11 – 8 = 3
2. The sign of the larger number (11) was originally negative, so the answer is –3.