• Comparing Integers
• Adding Integers
• Subtracting Integers
• Multiplying Integers
• Dividing integers
• Properties of Integers
• Word problems

Integers is the set of numbers containing whole numbers and their opposites.

Integers can either be:

•  Positive Integer – located at the right side of the number line
•  Negative integers – located at the left side of the number line and has a negative sign (-)
•  Zero – located in between positive and negative integers

In a number line, positive integers are located at the right side of zero (0) while the negative integers are located at the left side of zero (0).

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CONCEPT ON NEGATIVE INTEGERS

A negative integer is an integer that is less than zero. In the number line, these integers are located at the left side of zero (0).

Negative integers are the opposite of positive integers. For example, -2 is the opposite of 2. Even though both integers have the same number, they have different signs.

In real-life application, negative integers are used as an opposite in relation to a certain reference.

Real-life application of Integers

Examples

1. Steps

• Taking 4 steps forward can be considered as +4 (positive 4). This means it is 4 steps ahead of the starting point.
•  Taking 4 steps backward can be considered as -4 (negative 4). This means it is 4 steps behind the starting point.

2. Temperature

•  5 degrees above 0 degree Celsius is considered as +5°C. This means it is 5°C hotter than 0°C.
•  5 degrees below 0 degree Celsius is considered as -5°C. This means it is 5°C colder than 0°C.

3. Money

•  A $8 profit means it is a gain of $8.
•  A -$8 profit means it is a loss of $8.

Operation of Integers

• Comparing Integers
• Adding Integers
• Subtracting Integers
• Multiplying Integers
• Dividing integers
• Properties of Integers
• Word problems