Master

Word Problems Involving Integers

Master word problems involving integers with interactive lessons and practice problems! Designed for students like you!

Learn

Get the basics

Practice

Apply your skills

Master

Achieve excellence

Word Problems Involving Integers

Study Guide

Key Definition

Integers are the set of whole numbers and their opposites, such as $-14$, $3$, and $0$.

Important Notes

Integers do not include fractions or decimals.
Positive integers represent above sea level.
Negative integers represent below sea level.
Ground level is usually considered as $0$.
$-10$ is an integer representing 10 feet below ground.

Mathematical Notation

$+$ represents addition

$-$ represents subtraction

$\times$ represents multiplication

$\div$ represents division

Remember to use proper notation when solving problems

Why It Works

Understanding how integers work helps solve real-world problems such as calculating depths and heights using positive and negative values. When adding or subtracting integers, visualize movement on a number line: right for addition, left for subtraction.

Remember

Always represent below ground level as negative integers, such as $-10$ for 10 feet below.

Quick Reference

Integer Definition:Whole numbers and their opposites, e.g., $-14$, $3$, $0$

Understanding Word Problems Involving Integers

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Integers represent values on a number line: positive for above a reference point and negative for below. For example, starting at $-10$ and adding $5$ gives $-5$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

If a ball is at $-10$ feet, what does this represent?

Real-World Problem

Question Exercise

Intermediate

Submarine Scenario

A submarine is $-200$ feet below sea level. If it ascends $50$ feet, what is its new position?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

If the temperature is $-5^\circ C$ and it drops by $3^\circ C$, what is the new temperature?

Challenge Quiz

Single Choice Quiz

Advanced

Calculate the result of $-7 + 4 - (-3)$.

Recap

Watch & Learn

Review key concepts and takeaways