# Word Problems on Multiplying And Dividing Negative Numbers

#### Grade 7 Math Worksheets

## Multiplying and Dividing Negative Numbers: Understanding the Basics

In the realm of mathematics, negative numbers often pose unique challenges for students. However, once you grasp the fundamental rules governing the multiplication and division of negative numbers, you’ll find that they follow a logical pattern.

Let’s delve into these operations and unravel their mysteries.

**Personalized Online Tutoring**

## Multiplying And Dividing Negative Numbers - 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)*

## Multiplying Negative Numbers

When you multiply two negative numbers together, the result is always positive. This might seem counterintuitive at first, but it aligns with the concept of opposite signs canceling each other out.

**For example:**

(-2) * (-3) = 6

(-5) * (-4) = 20

(-8) * (-6) = 48

In each case, multiplying two negative numbers yields a positive product.

## Multiplying Negative and Positive Numbers

When you multiply a negative number by a positive number, the result is always negative. This occurs because the negative sign signifies a direction opposite to the positive.

**For example:**

(-2) * 3 = -6

(-5) * 2 = -10

(-8) * 7 = -56

In each case, multiplying a negative number by a positive number yields a negative product.

## Dividing Negative Numbers

Dividing negative numbers follows similar rules to multiplication. The result is positive when you divide two negative numbers or a negative number by a positive number. This is because division is essentially the inverse operation of multiplication.

**For example:**

(-6) ÷ (-2) = 3

(-12) ÷ (-3) = 4

(-15) ÷ 5 = -3

In each case, dividing two negative numbers or a negative number by a positive number yields a positive quotient.

## Dividing Negative and Positive Numbers

Conversely, the result is always negative when you divide a negative number by a positive number. This is because division by a positive number results in a direction opposite to the original negative value.

**For example:**

(-8) ÷ 2 = -4

(-10) ÷ 5 = -2

(-24) ÷ 6 = -4

In each case, dividing a negative number by a positive number yields a negative quotient.

*“**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.)

## Word Problems

### Multiplying Negative Numbers

**1. Temperature Change:**

**Imagine you’re in a city where the temperature drops by 5 degrees Celsius each hour. If the temperature is currently at -3 degrees Celsius, what will it be after 4 hours?**

**Solution:**

-3 (current temperature) – (5 * 4) = -3 – 20 = -23 degrees Celsius.

So, after 4 hours, the temperature will be -23 degrees Celsius.

**2. Debt Increase:**

**You owe $50 to a friend, and your debt increases by $10 each day. If your current debt is -$50, what will it be after 3 days?**

**Solution:**

-50 (current debt) + (10 * 3) = -50 + 30 = -$20.

After 3 days, your debt will be -$20.

**3. Losses in Business:**

**A business experiences a loss of $200 each week. If the current loss is -$800, what will it be after 5 weeks?**

**Solution**:

-800 (current loss) + (-200 * 5) = -800 – 1000 = -$1800.

After 5 weeks, the loss will be -$1800.

### Dividing Negative Numbers

**1. Sharing Debts:**

**You have a debt of -$100, and you want to share it equally among 5 friends. How much debt will each friend have?**

**Solution:**

-100 (total debt) ÷ 5 = -$20.

Each friend will have a debt of -$20.

**2. Budget Allocation:**

**A budget of -$500 needs to be divided among 4 departments equally. What is the budget for each department?**

**Solution:**

-500 (total budget) ÷ 4 = -$125.

Each department will have a budget of -$125.

**3. Distributing Losses:**

**A company experiences a total loss of -$1500, which is distributed equally among 6 partners. How much loss does each partner bear?**

**Solution:**

-1500 (total loss) ÷ 6 = -$250.

Each partner bears a loss of -$250.

**Remember, when dealing with negative numbers:**

- Multiplying or dividing two negative numbers results in a positive number.
- Multiplying a negative number by a positive number yields a negative result.
- Dividing a negative number by a positive number yields a negative result.

### Do You Stack Up Against the Best?

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

## Word Problems on Multiplying And Dividing Negative Numbers FAQS

#### What are negative numbers?

Negative numbers are real numbers that are less than zero. They represent values that are below a reference point, often denoted by a negative sign (-).

#### How do you multiply negative numbers?

When multiplying negative numbers:

- If you multiply two negative numbers together, the result is positive.
- If you multiply a negative number by a positive number, the result is negative.

#### How do you divide negative numbers?

When dividing negative numbers:

- The result is positive if you divide two negative numbers or a negative number by a positive number.
- The result is negative if you divide a negative number by a positive number.

#### Why does multiplying two negative numbers result in a positive number?

Multiplying two negative numbers results in a positive number because they represent opposite directions or movements along a number line. When you multiply opposites, they cancel each other out, yielding a positive result.

#### What are some real-world examples of multiplying and dividing negative numbers?

**Multiplying:**Calculating temperature changes (e.g., if the temperature decreases by -5°C each hour, what will it be after 4 hours?)**Dividing:**Sharing debts among friends (e.g., if you owe -$100 and split it among 5 friends, how much does each owe?)

#### How can I practice multiplying and dividing negative numbers?

You can practice with worksheets, and online exercises, or create your own word problems. Additionally, applying these concepts to real-life scenarios helps reinforce understanding.

#### What are some tips for mastering negative number operations?

- Understand the rules thoroughly.
- Practice regularly with various types of problems.
- Use real-world examples to relate concepts to everyday life.
- Seek help from teachers, tutors, or online resources if you encounter challenges.

#### Can negative numbers be multiplied or divided by positive numbers?

Yes, negative numbers can be multiplied or divided with positive numbers. The rules for multiplication and division remain the same as mentioned earlier.

#### How do negative numbers affect calculations in algebra and geometry?

Negative numbers are essential in various mathematical concepts. In algebra, they are used in solving equations and inequalities. In geometry, they represent coordinates, distances, and directions.

**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

CogAT

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