Integers

Integers are whole numbers that can be positive, negative, or zero. They do not have any fractional or decimal parts. The set of integers is represented by the symbol "Z".

Types of Integers

There are three types of integers:

1. Positive Integers: These are numbers greater than zero, such as 1, 2, 3, and so on.
2. Negative Integers: These are numbers less than zero, such as -1, -2, -3, and so on.
3. Zero: The number 0 is neither positive nor negative.

Adding Integers

When adding integers, use the following rules:

• If the numbers have the same sign (both positive or both negative), add their absolute values and keep the sign.
• If the numbers have different signs, subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.
• When adding a positive and a negative integer, subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

Subtracting Integers

When subtracting integers, add the opposite (additive inverse) of the second number to the first number and follow the rules for adding integers.

Multiplying and Dividing Integers

Multiplying and dividing integers follow different rules based on the signs of the numbers involved. When multiplying or dividing integers, the product or quotient will be positive if the two integers have the same sign and negative if the two integers have different signs.

Practice Problems

Here are some practice problems to test your understanding of integers:

1. Calculate the sum of -5 and 8.
2. Subtract -12 from 7.
3. Multiply -3 and -4.
4. Divide 16 by -4.

Remember, practice is key to mastering the concepts of integers. Keep practicing and you'll become comfortable with working with integers in no time!

[Integers] Related Worksheets and Study Guides:

• Integer operationsMathematics • Eighth Grade
• Using IntegersMathematics • Seventh Grade
• Polynomials and ExponentsMathematics • Eighth Grade