# Integer Addition And Subtraction

#### Grade 7 Math Worksheets

Mathematics is a language; like any language, it has its own rules and syntax that must be understood to effectively communicate and solve problems.

Integer addition and subtraction are fundamental operations in mathematics, forming the basis for more complex concepts like algebra and calculus.

In this blog post, we will delve into the world of integer addition and subtraction, exploring their properties, rules, and practical applications.

## Understanding Integers

Before we dive into addition and subtraction, let’s first understand what integers are.

**Integers are whole numbers, both positive and negative, including zero.**

They are represented on the number line, with positive integers to the right of zero and negative integers to the left. For example, -3, -2, -1, 0, 1, 2, 3 are all integers.

**Personalized Online Tutoring**

## Integer Addition And Subtraction - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

## Addition of Integers

Adding integers involves combining numbers to find their sum.

The rules for adding integers are:

### 1. Same Signs

When adding two integers with the same sign (both positive or both negative), add their absolute values and keep the common sign.

**Example:** (-3) + (-5) = -(3 + 5) = -8

### 2. Different Signs

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and use the sign of the integer with the larger absolute value.

**Example:** (-8) + 5 = 5 – 8 = -3

### 3. Additive Identity

The sum of any integer and zero is the integer itself.

**Example:** 6 + 0 = 6

## Subtraction of Integers

Subtracting integers involves finding the difference between two numbers. The rules for subtracting integers are similar to addition:

### 1. Subtraction as Addition

To subtract an integer, add its additive inverse (the opposite of the integer).

**Example:** 8 – (-3) = 8 + 3 = 11

### 2. Adding the Opposite

To subtract integers with the same sign, change the subtraction sign to addition and change the sign of the integer being subtracted, then follow the rules for addition.

**Example:** 6 – 3 = 6 + (-3) = 3

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 7th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $22.49 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

## Practical Applications

Understanding integer addition and subtraction is essential in various real-world scenarios, such as:

**Accounting:**Balancing debits and credits in accounting involves adding and subtracting integers.**Temperature:**Weather forecasts often involve adding and subtracting temperatures to determine changes.**Finance:**Calculating profits and losses in finance requires integer operations.

## Tips for Mastery

**Practice:**Regular practice with integer addition and subtraction problems will improve your skills.**Visualize:**Use a number line or draw diagrams to visualize integer operations.**Understand the Concept:**Instead of memorizing rules, understand why they work.

## Solved Examples

Let’s work through a few examples of integer addition and subtraction to illustrate the concepts discussed.

### Example 1: Addition of Integers

**Problem: Find the sum of (-6) + (-9).**

**Solution**

**1. Same Signs:** Since both integers have the same sign (negative), we add their absolute values and keep the negative sign.

(-6) + (-9) = -(6 + 9) = -15

**Answer:** (-6) + (-9) = -15

### Example 2: Subtraction of Integers

**Problem: Evaluate 5 – (-3).**

**Solution**

**1. Subtraction as Addition:** Subtraction is equivalent to adding the additive inverse of the second integer.

5 – (-3) = 5 + 3 = 8

**Answer:** 5 – (-3) = 8

### Example 3: Subtraction with Different Signs

**Problem: Calculate (-7) – 4.**

**Solution**

**1. Adding the Opposite:** Change the subtraction to addition and change the sign of the second integer.

(-7) – 4 = (-7) + (-4) = -(7 + 4) = -11

**Answer:** (-7) – 4 = -11

### Example 4: Combining Addition and Subtraction

**Problem: Determine the value of (-5) + 8 – (-2).**

**Solution**

**1. Substitution:** Substitute subtraction with the addition of the opposite.

(-5) + 8 + 2

**2. Combine Like Terms:** Add the integers together.

(-5) + 8 + 2 = (-5) + 10 = 5

**Answer:** (-5) + 8 – (-2) = 5

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## Integer Addition And Subtraction FAQS

#### What are integers?

Integers are whole numbers, both positive and negative, including zero. They do not have fractional or decimal parts. Examples of integers are -3, -2, -1, 0, 1, 2, 3, and so on.

#### What is the difference between addition and subtraction of integers?

The addition of integers involves combining numbers to find their sum, while subtraction involves finding the difference between two numbers.

#### How do I add integers with the same sign?

Add their absolute values and keep the common sign when adding integers with the same sign (either positive or negative).

#### How do I add integers with different signs?

When adding integers with different signs, subtract the smaller absolute value from the larger absolute value and use the sign of the integer with the larger absolute value.

#### What is the rule for subtracting integers?

Add its additive inverse (the opposite of the integer) to subtract an integer. In other words, change subtraction to addition and change the sign of the integer being subtracted.

#### How do I subtract integers with different signs?

To subtract integers with different signs, change the subtraction sign to addition and change the sign of the integer being subtracted. Then follow the rules for addition.

#### What is the additive identity property?

The additive identity property states that the sum of any integer and zero is the integer itself. For example, a + 0 = a for any integer a.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 7 Science Worksheets

- Elements and Compounds
- Solar Energy
- Photosynthesis
- Electricity and Magnetism
- Law of conservation of energy
- Periodic table
- Properties of Matter
- Waves
- Energy Resources
- Weather and Climate
- Immune, Circulatory and Digestive Systems
- Organs in Multi-cellular Organism
- Sedimentary, Igneous, and Metamorphic Rocks
- Structure of the Earth
- Law of Conservation of Mass
- Physical and Chemical Changes
- Scientific Method
- Human Digestive System
- Environmental Science
- Renewable and Non-renewable energy Resources
- Characteristics of Living Organisms
- Life Science
- Earth and Space Science
- Solar Eclipse
- Heat Technology
- Newton’s Laws of Motions
- Physical Science
- Tools, Measurement and SI Units
- Earth Atmosphere
- Interactions of Living things
- The Earth Ecosystem
- Organelles in Plant and Animal cells
- Layers of the Earth
- Cycles in Nature

## Grade 7 Math Worksheets

- Fractions
- Linear equations word problems
- Statistics
- Properties of Parallel Line
- Finding slope from an equation
- Identifying Quadrilaterals
- Percent Change
- Properties of addition and multiplication
- Pythagorean Theorem
- Solving two step inequalities
- Symmetry
- Fractions to Decimals (New)
- Whole Number Exponents with Integer Bases (New)
- Adding and Subtracting Fractions (New)
- Integer Addition and Subtraction (New)
- Dividing Mixed Numbers (New)
- Basics of Coordinate Geometry (New)

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird