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Word Problems on Multiplying and Dividing Negative Numbers

Grade 7 Math Worksheets

Welcome to our comprehensive page dedicated to mastering the art of multiplying and dividing negative numbers.Our carefully crafted worksheets provide a structured and engaging approach to understanding the complexities of negative arithmetic. Through clear explanations, diverse exercises, and step-by-step guidance, you’ll gain the confidence and proficiency needed to tackle any multiplication or division problem involving negative numbers. Let’s dive into the world of negative arithmetic and unlock new levels of mathematical prowess together.

What are the rules for multiplying negative integers?

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How do you divide negative numbers?

dividing negative numbers

Now let us discuss some word problems on this.

Example: Daisy joined a gym 8 weeks ago and she lost \frac{1}{2} kg every week. Write an equation that describes the above situation.

Since Daisy lost \frac{1}{2} kg every week, so the equation which describes the above situation =

\frac{1}{2} × 8 = -4 kg, which means she lost 4 kgs in 8 weeks.

Example: If the temperature changed at a rate of -3°C per hour, then after how many hours did the temperature reached -12°C?

Number of hours for the temperature to reach from -3°C to -12°C =  = 4 hours

Check Point

  1. John dives from the surface of water at a rate of 2 feet per second. Where will he be from the surface of water after 30 seconds?
  2. If a football team’s 2 plays resulted in a loss of 5 yards, then what integer represents the total number of yards they lost in 2 plays?
  1. If the cost of one share of a company declined a total of $30 in 5 days, then what integer represents the cost of one share by which it declined on an average per day?
  2. A daily soap opera lost a total of 5,000 viewers in the last 5 months. If it lost the same number of viewers in each month, then write an equation to represent the number of viewers lost in one month.
  1. If the height of an old person decreased by a total of 1 cm in 5 years and it decreased by the same amount each year, then what integer represents his change in height every year?
Answer key
  1. -60 feet
  2. -10 yards
  3. -6 dollars
  4. \frac{-5000}{5} = -1000
  5. -0.2 cm

Frequently Asked Questions (FAQs)

Why is it important to learn how to multiply and divide negative numbers?

Understanding the rules of multiplying and dividing negative numbers is crucial in various fields, including mathematics, physics, and finance. It allows you to represent and solve real-world problems involving negative quantities accurately.

How can these worksheets help me improve my skills in multiplying and dividing negative numbers?

Our worksheets provide a structured approach to learning and practicing multiplying and dividing negative numbers. They offer a variety of exercises to reinforce your understanding and sharpen your skills.

What topics are covered in these worksheets?

The worksheets cover essential topics such as multiplying two negative numbers, multiplying a negative number by a positive number, dividing negative numbers, and more.

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