But here’s the fun part – integers are all around us; all you need to do is look for them! From your pocket money to the temperature outside, they sneak into our daily life and make things measurable. So, let us explore integers and their significant presence in real-life situations. 

Why are integers important? 

Integers are like the backbone of mathematics, providing a solid foundation for countless mathematical operations and real-life applications. They are the building blocks that help a person attain mathematical fluency and make sense of the numerical complexities of our world.

Integers play a crucial role in understanding and representing quantities. The real-life examples of positive and negative numbers reflect so. They help us measure, make comparisons, and calculate a wide range of things, from financial transactions to temperature changes, population analysis, and more. They also allow us to make sense of the world around us and solve mathematical problems. 

By grasping and applying integers in multiple facets of life, we work on many valuable skills like critical thinking, problem-solving, and logical reasoning. You may be in school solving simple problems involving integers right now, but later, when you pursue a career in science, technology, engineering, mathematics, or any other field, a solid understanding of integers can help you grow professionally. 

Application of integers in real life: 8 relevant examples

1. World records

World records are a fascinating real-life example of integers. From sports achievements to extraordinary human endeavors, world records capture the essence of pushing the boundaries of what we think is possible. Each record is a specific numerical value, an integer, representing the peak of human achievement in a particular category. Whether it’s the fastest sprint or the highest jump, these records serve as benchmarks that inspire individuals to strive for more. 

Suppose a runner completes a lap in 30 seconds. One person who fails to break the record could be at +5 seconds, whereas the other person who breaks the 30 seconds mark in 24 seconds is at -6 seconds. So you can see how these integers offer a universal language to quantify and compare human accomplishments and serve as a reminder that they are not merely a mathematical concept but also have the power to celebrate remarkable achievements.

2. AD and BC timeline

The concept of “BC” (Before Christ) and “AD” (Anno Domini) serves as real-life examples of integers in historical chronology. BC represents the years before the estimated birth of Jesus Christ, while AD denotes the years after his birth. Both BC and AD are used to create a linear timeline that provides a common reference point for dating events in human history. 

So if a person is born in 2023, it is +2023 AD, while those born 500 years before Christ can be said to be born in -500 BC. By assigning integers to specific years, BC and AD allow us to keep a record of historical events. They enable historians and researchers to establish connections, trace patterns, and gain insights into the progression of human civilization. 

3. Behavior points

Behavior points allow teachers to track and measure individual student behavior. These points are integers, which are used to incentivize or stop specific behaviors from occurring. Positive behavior points, for example, +10, may be awarded to students who display desirable actions, such as active participation, respectful behavior, or completing tasks on time. Negative behavior points, like -5, may be assigned to students who are disruptive and disobedient. 

By giving numerical values to these behaviors, a quantifiable system is established to track and assess the behavior patterns of students over time. These integers also help in the fair implementation of reward systems or consequences. It also helps promote self-awareness, encourages positive behavior, and provides a framework for individuals to reflect on their actions and strive for improvement. 

4. Price changes 

When prices of goods or services are adjusted, they are typically represented as integers that reflect the change. For example, if the original price of a product is $10 and it undergoes a price increase of +$2 (a positive), the new price would be $12. Conversely, if the price is adjusted by -$2 (a negative), it would result in a new price of $8. 

These integer values allow us to quantify price adjustments and let us make comparisons between different products. The integers used to represent price changes enable people to evaluate and analyze the impact of fluctuations, make purchasing decisions, and assess the affordability or value of goods and services. Plus, it also ensures transparency and consistency in the marketplace.

5. Calories gained/burned

Have you ever observed someone who is on a dieting spree? You will often see them counting their calories. Calories are integers or numerical values used to measure the energy content of food and energy expenditure through physical activity. When we consume food, we gain calories; when we exercise, we burn calories. Integers quantify these energy values and give us an idea of how well we meet our diet goals. 

For instance, if you eat a chocolate bar, you will be +200 calories closer to your daily caloric goal, but if you take a 30-minute jog, you may burn 300 calories and record it as -300 calories in your chart. By tracking calories gained and burned, one can manage their weight. Here integers serve as a means for individuals to meet their health and fitness goals and work towards a healthy lifestyle.

6. Business profit/loss

For any business to be successful, it is crucial to keep note of its profits and losses over a given period of time. Profit is a positive outcome, indicating that a business has earned more revenue than its expenses. At the same time, a loss represents a negative outcome, reflecting that the company’s expenses have exceeded the revenue generated. These financial figures are typically expressed as integers, which quantify the profit or loss incurred. 

So, if a company’s profit and loss statements reflect + $10,000, it means they have earned it as a profit. But if it shows a negative integer like -$5000, it would represent losses. So you can see how by using integers, businesses can measure and evaluate their financial performance and establish positive, negative, and zero correlations between different variables. This provides executives with crucial insights into a company’s financial health and helps identify improvement areas. 

7. pH values

In chemistry, pH is a measure of the acidity or alkalinity of a solution, typically ranging from 0 to 14. A pH of 7 is considered neutral; below 7 indicates acidity, while anything above 7 indicates alkalinity. As you can see, pH values are also integers. For instance, a solution with a pH of 3 is more acidic than another with a pH of 5. Usually, pH values are positive integers falling between 0 to 14. 

However, that does not mean a pH can never have a negative value. It may be hard to determine, but it is possible. Some environmental samples, like the Hot Springs near Ebeko Volcano in Russia, are reported to have a pH of -1.7. By utilizing integers to represent pH values, scientists and researchers can analyze the acidity or alkalinity levels of different solutions, thus, enabling them better understand their chemical characteristics. 

8. Game scores

Games with negative markings are yet another example of integers. Whether it’s an online or offline competition, game scores are represented mainly by numerical values. These integers measure the performance of a player within the game. Higher scores indicate greater achievement, while lower scores indicate lower success. 

The scores can be positive integers, or they can even be negative numbers if the player has received a negative marking Sometimes, it can even be zero! Integers depicting game scores provide a basis for rankings, records, and determining winners. It also encourages players to strive to achieve higher scores next time and facilitates friendly competition among players.

Summing up, 

Integers are the simplest and most fundamental component of mathematics. You need them for arithmetic operations, no matter how big or small. Maybe that’s why there are numerous quotes and sayings about the importance of numbers. By exploring examples of integers in real-life situations, we realize how relevant and powerful these numbers are in our everyday lives. Integers help us navigate financial transactions, analyze data, and make informed decisions.

They are not just confined to math textbooks but are needed to bring order and structure to our daily experiences. By recognizing and understanding integers, we gain mathematical fluency and valuable skills that extend far beyond the classroom. So, don’t get overwhelmed when you deal with integers. Use your knowledge to navigate and appreciate the numerical intricacies that appear in our everyday lives.

Priyanka Sonkushre

I am Priyanka Sonkushre, a writer and blogger. I am the person behind “One Loving Mama,” a mom blog. Equipped with a Bachelor’s degree along with an MBA, my healthcare background helps me deeply understand learning difficulties. I know how challenging it can be for parents to find the right resources to help their children excel in life. So, here I am to blend my healthcare expertise with my parenting experience to create valuable and helpful resources for parents and teachers supporting children with learning differences. If you wish, you can follow me on Facebook and LinkedIn.

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With easy access to devices like phones and tablets, toddlers are just a click away from learning with leisure and fun! Moreover, games have turned into a potent source to instruct young learners. In this context, we will explore the significance of online integer games with our favourite picks for your little learner.

How online games make learning integers fun?

Games have been an integral part of everyone’s life, and it continues to be part of the current generation as well. One of the important Math curricula includes Integers as part of critical learning for kids. From identifying negative integers and positive integers to calculating them– the whole concept, in general, can be dull and tedious for a child. But this can be made exciting by blending the concept with online games. 

Other than that, the following are the few skills that your child can equip by indulging in some online games dedicated to integers–

• Focus: By playing Online Integer games, students can focus on the learning part along with having fun. Classroom lectures are indeed enlightening, but online games make the cut when it comes to tough mathematical concepts. 
•  Children focus more while playing these games, which leads to quick learning and longer retention. 
• Attention to the details: Many online Integer games come with a ticking clock where students have to concentrate on solving math problems to get through stages and need to be very attentive. In this way, students focus on details more so that they can clear the level before the timer hits. 
• Increased critical thinking: Critical thinking plays an important role here as students have to resolve complex math problems in less time with fast-moving games. Maths as a subject and integers as a concept need a lot of brainstorming, which can be inculcated into the students with very little fuss and rigidity. 
• Mastering the skill of Integers: Online games makes grasping the concept easier. When a child learns integers through the conventional book and blackboard method and later practices it through these games, they are able to master it and have full retention of the topic. 

Not only do their concepts become clearer, but also students can save time through this. As long as kids keep having fun, they keep learning and don’t complain about boring and tedious curriculums. 

Online games for learning about integers

1. Orbit Integer

With spaceships of all colours, a visually pleasing space track, and a great interface— orbit Integer is an online racing game. This game allows players to answer questions during the race. The right answer will give you a speed boost, allowing you to speed up to win the race. This game also offers a multiplayer option to invite your friends to play and learn together. 

Orbit Integer allows new-age students to think quickly for an answer and win the race. It also opens up an angle of group study.

 2.  Spider Match Adding Integers

The best online game is the one that improves attention to detail and acts quickly. Spider Match Adding Integers is a high-speed game where you are on a clock, and the number keeps popping up. You have to add them to make a whole number shown in the middle. While you learn to make things happen faster, you will realise that this game makes you smarter in decision-making. 

Different numbers are displayed in the spider’s web in this game– these can be negatives, positives, and even zero. One number is constantly displayed in the middle of the web—for example, number 3. The player needs to mix and match the various numbers in their negative and positive forms to make a 3 out of them. But it just does not end here; the catch of the game is that all the numbers keep disappearing, and new numbers keep popping up; therefore, the player needs to be quick in adding two numbers to form 3. 

3. Math Boxing Integer Comparison

Unless you like being punched back, try to give correct answers. This is a comparison game where students have to guess which number is bigger than the other. It is a fun game where you are a boxer in a boxing ring. As simple as it sounds, this game is a fun way to exercise integers because you are on a clock and have to give answers quickly.

In this game, the numbers keep popping, and the player needs to give the correct answer as to which one is bigger than the other. For example- (-15) or (6) ?

4. X-Ray Math Integers

Become a fun scientist as you operate an x-ray machine to find out the questions and connect them with the right answers. X-Ray math Integers game gives you enough time to connect questions to all the right answers. Integers are used very correctly in this game as you will collide with some difficult questions and give a thought to each step. Making kids brainstorm hard and pushing the right buttons– this game might be challenging but fun at the same time. 

In X-Ray Math Integers, the player needs to check the hidden equation in the X-Ray Scanner and then drop the equation on the correct answer out of the many options available. For example- The equation could be- (-12)+6. The player needs to calculate and drop the hidden equation on the correct answer, which is 6. 

   5. Robot Math Integers

How cool is learning Integers in the form of a Robot?  Robot Math Integers is a simple yet creative game through which kids can learn simple addition and subtraction rules. This game has a decent interface with different levels of difficulties that makes this game perfect for learning as children can not only learn about integers, but as the level goes up, the game becomes more challenging, making them kids think harder, and learn better. 

The game has a robot, which needs to collect the exact number which is displayed on the top of the screen. Out of the many numbers available, the player would have to navigate the robot to the right numbers so that they are able to finish the level and move to the next one. The great thing about this game is that it has many levels, and the difficulty keeps increasing as students move ahead in the level.s 

6.  MathPup Treasure Hunt

Help a puppy go on a quest and find the treasure hunt using positive and negative numbers. This game is set underwater. With just a dog, you have to open treasure boxes. It is a simple game with a lot to think about. This can be a perfect practice of Integer numbers and solving math problems for a student. Nonetheless, this game requires a good skill set of integer practice and critical thinking ability. 

This is a fun game where you are on a treasure hunt with your dog. To move ahead, you need to solve the equation given on the hint; only then you would move forward in the game, closer to the treasure. To reach the treasure, you would need to solve all the equations that come your way. This forms a great understanding of the concept of integers as a whole. 

7. Bike Racing

Riding a bike on a nice race track looks useful when you also learn Math with it. This Bike Racing game involves solving questions quickly to boost speed by giving simple integers answers. Out of the various features, you would be able to access them and reach the finish point only if you give the correct solution to the problems that come your way. It can require critical thinking from students, as they would have to think faster and harder so that they can reach the final destination the fastest.  You will be competing with different players in each game. Make sure you don’t let them win. Participate in this high-speed game to test your skills in Integers. 

Conclusion

Online gaming is changing education and the way people look at it. Gone are the days when parents used to give examples to their children, stating that they would succeed only when they studied and fall through if they played too much. Today, your child can succeed even through playing games online– thanks to the amalgamation of studies with gamification! 

Since learning through playing online games has become the new norm, these games would help your child understand, practice, and become proficient at a concept like Integers, which can be otherwise challenging to inculcate.

References:

[1] Game-Based Teaching: Practices, Roles, and Pedagogies: Aalborg University (Hanghoj T.) (2013, January) 

Manpreet Singh

An engineer, Maths expert, Online Tutor and animal rights activist. In more than 5+ years of my online teaching experience, I closely worked with many students struggling with dyscalculia and dyslexia. With the years passing, I learned that not much effort being put into the awareness of this learning disorder. Students with dyscalculia often misunderstood for having  just a simple math fear. This is still an underresearched and understudied subject. I am also the founder of Smartynote -‘The notepad app for dyslexia’, 

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