Positive & Negative Integers
Introduction
Integers are whole numbers (not a fraction) that can be either positive, negative, or zero. Positive integers are greater than zero, and negative integers are less than zero. Understanding positive and negative integers is essential in math as they are used in various mathematical operations and real-world applications.Representation
Positive integers are represented with a plus sign (+) or simply as a number without a sign. For example, +3 or 3 both represent the positive integer 3. Negative integers are represented with a minus sign (-). For example, -5 represents the negative integer 5.Number Line
The number line is a visual representation of positive and negative integers. It extends infinitely in both directions. Positive integers are located to the right of zero, while negative integers are located to the left of zero. Zero is the neutral point on the number line.Comparing Integers
When comparing integers, the greater number is the one with the higher absolute value. For example, -3 is greater than -5 because 3 has a higher absolute value than 5.Operations
- Addition: When adding integers, if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the smaller number from the larger number and keep the sign of the number with the greater absolute value. - Subtraction: Subtraction of integers can be thought of as adding the opposite. Change the subtraction sign to addition and change the sign of the number being subtracted, then follow the rules for addition. - Multiplication: When multiplying integers, if the signs are the same, the product is positive. If the signs are different, the product is negative. - Division: When dividing integers, if the signs are the same, the quotient is positive. If the signs are different, the quotient is negative.Study Guide
To master positive & negative integers, here are some key points to focus on:- Understanding the concept of positive and negative integers.
- Practicing representing positive and negative integers on a number line.
- Mastering the rules for comparing and performing operations with positive and negative integers.
- Applying the knowledge to solve real-world problems that involve positive and negative integers.
◂Math Worksheets and Study Guides Fifth Grade. Positive & Negative Integers
Study Guide
Positive & Negative Integers 
Worksheet/Answer key
Positive & Negative Integers Worksheet/Answer key
Positive & Negative Integers Worksheet/Answer key
Positive & Negative Integers Worksheet/Answer key
Positive & Negative Integers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Explore numbers less than 0 by extending the number line and through familiar applications.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Connections to the Grade 5 Focal Points (NCTM)
Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).