Opposite Numbers

Are you ready to uncover the intriguing concept of opposite numbers? In mathematics, opposite numbers play a vital role that might initially seem puzzling.

You’re about to unlock the secrets behind these numerical opposites, gaining insights that will boost your math skills and broaden your understanding of the numeric world.

Join us on this concise journey as we unravel the significance of opposite numbers and pave the way for your mathematical exploration ahead.

In this article, we will cover:

• Understanding Opposites
• Adding and Subtracting Opposite Numbers
• Multiplying and Dividing Opposite Numbers
• Practice Problems
• FAQs

Understanding Opposites

We’ll dive into the heart of opposite numbers, unraveling their significance and exploring the dynamics of positive and negative numbers. By the end of this, you’ll have a solid grasp of what opposite numbers represent and how they shape the mathematical landscape.

• Defining Opposite Numbers: Discover the fundamental definition of opposite numbers and their unique relationship on the number line.
• Positive and Negative Numbers: Delve into the world of positivity and negativity in numbers, understanding their roles and characteristics.
• Real-Life Examples of Opposite Numbers: Explore practical scenarios where opposite numbers come into play, from temperature changes to financial transactions.

Adding and Subtracting Opposite Numbers

Welcome to the world of mathematical equilibrium and adjustment. In this part, we’ll delve into the art of adding and subtracting opposite numbers, providing you with vital tools to maneuver confidently along the number line.

• Balancing Act: Discover the method of adding and subtracting opposite numbers to unveil their combined value or disparity. Explore the concept of zero pairs, where positive and negative opposites cancel each other out.

Example: 3+(−3)=3+(−3)=0 When you add a positive 3 to a negative 3, they create a zero pair.

• Navigating the Number Line: Develop a keen sense of how opposite numbers interact on the number line. Visualize the movement from positive to negative and vice versa, understanding the subtle shifts in magnitude.

Example: Imagine a number line. Starting at 2, moving one step to the left takes you to 2−1=12−1=1, and another step to the left leads to 2−2=2−2=0.

• Practice Makes Perfect: Use hands-on exercises to solidify your grasp of addition and subtraction involving opposite numbers. Strengthen your skills through guided practice problems.

Practice Problem: 5−(−3) Solve for the result by subtracting negative 3 from positive 5. Remember, subtracting a negative is akin to adding the positive value.

By mastering the techniques outlined in this, you’ll be equipped to confidently address intricate numerical challenges and apply your newfound expertise to real-world scenarios.

Multiplying and Dividing Opposite Numbers

In this chapter, we’ll take a deeper dive into the realm of opposite numbers by exploring multiplication and division. These operations bring a new dimension to your understanding of opposites.

• Multiplying Opposites: Uncover the rules of multiplying opposite numbers and their intriguing outcomes.

Example: (−2)×3=3(−2)=−6 When you multiply a negative 2 by a positive 3, the result is a negative 6.

• Dividing Opposites: Learn how to divide opposite numbers and discover the emerging patterns.

Example: (−10)÷(−2)=(−10)÷(−2)=5 Dividing a negative 10 by a negative 2 yields a positive 5.

• Exploring Interactions:  Delve into scenarios where the multiplication and division of opposite numbers are vital.

Example: Think of temperatures. A positive temperature (above zero) multiplied by a negative temperature (below zero) results in a negative product, indicating a decrease in temperature.

Practice Problems for Adding and Subtracting Opposite Numbers:

1. 7+(−4)7+(−4) =
2. (−12)+5(−12)+5 =
3. 2−(−8)2−(−8) =
4. (−3)−(−7)(−3)−(−7) =
5. 10+(−10)10+(−10) =

Answers: 1.-25    2. -67    3.26    4. -17     5. -100

Practice Problems for Multiplying and Dividing Opposite Numbers:

1. (−6)×3(−6)×3 =
2. (−5)×(−2)(−5)×(−2) =
3. 12÷(−4)12÷(−4) =
4. (−18)÷6(−18)÷6 =
5. (−15)÷(−5)(−15)÷(−5) =

Answers: 1.324    2. 100    3.9   4. 9     5. 9

Opposite Numbers FAQs

Grade 6 Science Worksheets

• Inquiry process
• Nature of Science
• Scientific Inquiry
• Inquiry, Analysis and Problem Solving
• Ethical Practices
• Science and Society
• Biotic and Abiotic Factors
• Impact of Organisms
• Adaptation
• Spheres of Earth
• Natural Resources
• Environmental Issues
• Conservation of Earth
• Understanding Technology
• Abilities To Do Technological Design
• Structure of Earth
• Solar System
• Rocks and Fossils
• Earth Systems
• Plate Tectonics
• Evolution
• Magnetic Field of Earth
• Geologic Time
• Materials and Processes That Shape a Planet
• Astronomy
• Ecology
• Energy
• Kinetic and Potential Energy
• Energy Transfer
• Matter and its Structure
• States of Matter
• Physical and Chemical Changes
• Force and Motion
• Electricity and Magnetism
• Wave Interactions
• Sound
• Light
• Introduction to Life Science
• The Origin & History of Life On Earth
• Plant and Animal Cells
• Parts of a Cell
• The Cell Cycle
• How Living Organisms Get Energy
• Classification of Organisms
• How Plants Grow & Reproduce
• The Human Respiratory System
• The Human Cardiovascular System
• The Human Digestive System
• The Human Endocrine Systems
• The Human Nervous System
• The Human Muscular System
• The Human Skeletal System

Grade 6 Math Worksheets

• Probability
• Ratio
• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)