Study Notes
Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals. The sum of any integer and its opposite is zero.
- Integer — a whole number that can be positive, negative, or zero. Example: +4, -5, 0
- Opposite Integer — two integers that are equal in magnitude but opposite in sign. Example: 9 and -9
- Adding Positive Numbers — simple addition of positive values. Example: (+2) + (+3) = (+5)
- Subtracting Positive Numbers — simple subtraction of positive values. Example: (+6) - (+3) = (+3)
- Adding Negative Numbers — adding negative values results in subtraction. Example: (+6) + (-3) = (+3)
- Subtracting Negative Numbers — subtracting negative values results in addition. Example: 6 - (-3) = 9
- Multiplying Integers — multiplying two positive or two negative integers results in a positive integer; multiplying a positive and a negative integer results in a negative integer. Example: (-2) * (-3) = 6
- Dividing Integers — dividing two positive or two negative integers results in a positive integer; dividing a positive and a negative integer results in a negative integer. Example: (-6) / (-3) = 2
Exam Tips
Key Definitions to Remember
- An integer is a whole number that can be positive, negative, or zero.
- Opposite integers are two numbers that are equal in magnitude but opposite in sign.
Common Confusions
- Confusing integers with fractions or decimals.
- Misunderstanding the rules for adding and subtracting negative numbers.
Typical Exam Questions
- What is the sum of -3 and +5? Answer: +2
- What is the result of subtracting -4 from +7? Answer: +11
- How do you multiply -2 and +3? Answer: -6
What Examiners Usually Test
- Understanding of integer operations on a number line.
- Ability to correctly apply rules for adding, subtracting, multiplying, and dividing integers.
- Identifying opposite integers and their properties.