Integers are whole numbers (both positive and negative) and their opposites. They are used to represent quantities that can be greater than or less than zero.

There are four basic operations when working with integers: addition, subtraction, multiplication, and division.

When adding integers, remember the following rules:

- If both integers have the same sign, add their absolute values and keep the sign.
- If the integers have different signs, subtract the absolute value of the smaller number from the absolute value of the larger number, and give the result the sign of the number with the larger absolute value.

Subtracting integers follows similar rules to addition, but it's important to remember that subtracting a negative integer is equivalent to adding a positive integer.

When multiplying or dividing integers, the sign rules are as follows:

- If the integers have the same sign, the result is positive.
- If the integers have different signs, the result is negative.

Integer operations are often used to solve real-world problems involving finances, temperatures, and other situations where values can be positive or negative. It's important to carefully analyze the problem and apply the appropriate operation.

Here are some practice problems to help you master integer operations:

- Calculate -5 + 8
- Find the product of -4 and -6
- If a temperature drops 10 degrees from 5°C, what is the new temperature?

Remember to always practice and review the rules for integer operations to build your proficiency in this topic.

Good luck with your studies!

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Study GuideInteger operations Worksheet/Answer key

Integer operations Worksheet/Answer key

Integer operations Worksheet/Answer key

Integer operations Worksheet/Answer keyInteger operations

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.

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

Compute fluently and make reasonable estimates.

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

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations