Solving Problems with Negative Numbers
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Learning text on the topic Solving Problems with Negative Numbers
What Are Negative Numbers?
In this text, we will explore the concept of negative numbers. Understanding negative numbers is important in mathematics and everyday life. We will learn how to work with negative numbers, perform operations, and solve problems involving negative values. Let's dive in!
Understanding Negative Numbers
Negative numbers are numbers less than zero. They are represented with a minus sign (-) in front of them.
Negative numbers are used in various contexts, such as temperatures below freezing, floors below ground level in buildings, bank accounts or depths below sea level. Therefore, understanding, being able to interpret and solve problems with negative numbers is extremely important.
Interpreting Negative Numbers in Calculations
To interpret negative numbers in different contexts, we need to understand that they represent numbers below zero. Bringing these numbers to life, and applying them to temperatures, makes things easier to understand. For example, -5°C means it is 5 degrees below freezing. Counting forward and backwards with positive whole numbers helps us understand temperature changes.
For instance, if the temperature increases by 3 degrees, or in other words it gets three degrees warmer, we count forwards from the initial temperature by adding 3. If the temperature decreases by 2 degrees, or it gets 2 degrees colder, we count backwards from the initial temperature by subtracting 2.
In order to solve problems with negative numbers, follow these simple steps:
| Step | What to do |
|---|---|
| 1. | Identify the initial number |
| 2. | Decide if you need to count forwards or backwards |
| 3. | Complete the calculation |
| 4. | Find the result |
Negative Numbers – Problems in Various Contexts
To deepen our understanding of negative numbers, let's explore more examples that illustrate how they work in various contexts.
Temperature Below Freezing
If the temperature drops to -5°C at night and rises by 10°C during the day, what is the daytime temperature?
Bank Overdraft
If Sam's bank account balance is -£50 (which means he is in overdraft), and he deposits £100, what is his new balance?
Elevation Below Sea Level
The Dead Sea has an elevation of -423 metres below sea level. If a diver descends another 10 metres, what is the diver's new elevation?
Negative Numbers – Additional Exercises
Practising with negative numbers helps solidify the concept. Here are some additional exercises to try.
Negative Numbers – Summary
Key Learnings from this Text:
- Negative numbers are numbers less than zero and are represented with a minus sign (-).
- Negative numbers are used to represent values below a reference point or in the opposite direction.
- Negative numbers are often seen in word problems about temperatures, height below sea level and money.
- Adding a negative number to a positive number results in a smaller value, while subtracting a negative number results in a larger value.
Remember to practise working with negative numbers to strengthen your understanding. If you want to explore more maths topics, check out our website for interactive practice problems, videos and printable worksheets. Keep up the great work!
Negative Numbers – Frequently Asked Questions
