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ZingPath: Whole Numbers and Integers

Addition of Integers

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Whole Numbers and Integers

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Lesson Focus

Addition of Integers

Math Foundations

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You will add integers using a visual representation.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Demonstrate the process of adding integers using a model.
  • Add integers.

Everything You'll Have Covered

An integer is a whole number.

An integer is a whole number that can be either greater than 0, (called positive), or less than 0, (called negative). Zero is neither positive nor negative. An integer is a whole number and it's opposite.

For example:

2 and -2

The sum is the answer for an addition problem.

Example:

A + B = C

C is the sum for the addition problem.

The sum of two positive integers is always positive.

When two or more positive numbers are added together, the result or sum is always positive.

The sum of a positive and a negative integer can be either positive, negative, or zero.

When you add a positive and a negative number, the sum is dependent upon the sizes of the positive and negative numbers. When the negative number is larger than the positive number, the sum is a negative number. This is because there are more negative numbers in the calculation.

Note: A plus symbol is not necessary to represent a positive number. The positive number is assumed.

When the positive number is larger than the negative number, the sum is a positive number. This is because there are more positive numbers in the calculation.

When the value of the positive number is the same as the negative number, the sum is zero. The positive number and negative number cancel each other out or simplify.

The sum of two negative integers is always negative.

When two or more negative numbers are added together, the result or sum is always negative. This is because there are only negative numbers in the calculation.

Zero pairs are formed when a positive number and a negative number (both of the same value) are added.

When positive and negative integers for the same value are added, they simplify to zero.

Tutorial Details

Approximate Time 20 Minutes
Pre-requisite Concepts Students should be familiar with addition with whole numbers.
Course Math Foundations
Type of Tutorial Concept Development
Key Vocabulary addition of integers, visual representation, chips