Integers are a set of whole numbers and their opposites. They include the positive numbers, negative numbers, and zero. The set of integers is denoted by the symbol "Z".

Integers can be represented on a number line. Positive integers are located to the right of zero, and negative integers are located to the left of zero. Zero is considered neither positive nor negative and is located at the center of the number line.

There are four basic operations that can be performed with integers: addition, subtraction, multiplication, and division.

When adding or subtracting integers, if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the numbers and take the sign of the number with the greater absolute value.

When multiplying or dividing integers, if the signs are the same, the result is positive. If the signs are different, the result is negative.

The absolute value of an integer is its distance from zero on the number line. It is always a non-negative value.

- Practice representing integers on a number line.
- Memorize the rules for adding, subtracting, multiplying, and dividing integers.
- Understand the concept of absolute value and how it relates to integers.
- Work on plenty of practice problems to reinforce your understanding of integers.

Study GuideUsing Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer keyUsing Integers

Number and Operations (NCTM)

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

Develop meaning for integers and represent and compare quantities with them.

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

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Compute fluently and make reasonable estimates.

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

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.