### What are integers?

# What are integers?

Integers are the set of whole numbers that can be positive, negative, or zero.

# What are integers?

Integers are the set of whole numbers that can be positive, negative, or zero.

# Examples

Examples of integers include:

0

3

-5

7

-15

200

-1,746

# Examples

Examples of integers include:

0

3

-5

7

-15

200

-1,746

# Number Line

Positive numbers, negative numbers, and zero can be shown on a number line.

Zero is neither positive nor negative.

All numbers to the right of zero are positive and all numbers to the left of zero are negative.

# Number Line

Positive numbers, negative numbers, and zero can be shown on a number line.

Zero is neither positive nor negative.

All numbers to the right of zero are positive and all numbers to the left of zero are negative.

# Opposite Numbers - Absolute Value

When numbers are the same distance from zero, they are considered opposites. For example, 2 and -2 are opposites because they are each 2 units from zero.

Distance from zero also describes a number's absolute value. In this example, the absolute value of 2 is 2 and the absolute value of -2 is 2.

|2| = 2 AND |-2| = 2

Please note: The absolute value of a number cannot have a negative value because it only describes the number's distance from zero. So |-2| is not -2 because -2 is 2 units from zero, not -2 units.

In other words, the solution to an absolute value problem cannot be negative.

# Opposite Numbers - Absolute Value

When numbers are the same distance from zero, they are considered opposites. For example, 2 and -2 are opposites because they are each 2 units from zero.

Distance from zero also describes a number's absolute value. In this example, the absolute value of 2 is 2 and the absolute value of -2 is 2.

|2| = 2 AND |-2| = 2

Please note: The absolute value of a number cannot have a negative value because it only describes the number's distance from zero. So |-2| is not -2 because -2 is 2 units from zero, not -2 units.

In other words, the solution to an absolute value problem cannot be negative.

# Is it an Integer?

Before concluding the section on understanding integers, it is important to know that not all positive or negative numbers are integers.

Decimal numbers, such as 0.5 and -3.24, can have positive or negative values. However, they are not integers.

Fractions can also have positive or negative values. But, 1/3 and -5/8 are not integers.

# Is it an Integer?

Before concluding the section on understanding integers, it is important to know that not all positive or negative numbers are integers.

Decimal numbers, such as 0.5 and -3.24, can have positive or negative values. However, they are not integers.

Fractions can also have positive or negative values. But, 1/3 and -5/8 are not integers.

### Test Your Knowledge - True or False

- Integers are the set of whole, decimal, or fraction numbers that can be positive or negative.
- Absolute value represents a number's distance from zero on a number line.
- -5 and 5 are opposite numbers.
- Zero can be either positive or negative.
- -1/2 is NOT an integer.
- 0.325 is an integer.
- |-7| = -7 units from zero.
- |3| = 3 units from zero.
- -2.01 is an integer.
- -50, 0, and 38 are all integers.