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".

There are three types of integers:

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

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.

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 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.

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

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

Study GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.