How to Get Infinity on a Calculator—Explained

How to Get Infinity on a Calculator: Step-by-Step

Learn How to make infinity on a calculator in a few easy steps

How to Get Infinity on a Calculator: Is It Possible?

Are you trying to figure out how to get infinity on a calculator or what equals infinity on a calculator? In this short post, we will take a look at how you can work with and display infinity on a calculator.

Before we move on, note that not all calculators are the same and that many of them can not accurately represent infinity due to a lack of computing power and/or display capabilities. When this is the case, you will often see an error message which means that the calculator is trying to display infinity, but is coming up short.

How to Get Infinity on a Calculator: Many calculators will display an error message instead of infinity. (Image: Mashup Math Placeit)

What is Infinity? (And What Does it Mean on a Calculator?)

Before you learn how to work with infinity on a calculator, it’s important that you understand the meaning of infinity in the context of math and making numeric calculations. Notably, infinity is not a number. Instead, it is a concept, meaning that infinity represents a quantity with no boundaries that is larger that any number the human mind can think of.

The ∞ symbol is commonly used in math to represent infinity, but many calculators can not display this symbol and you will rarely see an infinity button on a calculator. However, this does not mean that you can not get infinity on a calculator. Continue reading to find out why.

How to Get Infinity on a Calculator?

Okay, now you are ready to learn how to get an infinity on a calculator (and to see whether or not the calculator that you are using is capable of displaying infinity at all).

There are a few different ways to get infinity on a calculator, but the most common (and most simple) way to divide a number by zero.

As a general rule in math, any real number divided by zero is consider to be undefined.

In the case of dividing by zero, undefined and infinity both mean the same thing. The output depends on what type of calculator you are using.

For example, lets consider the following calculation: 8 ÷ 0

We will be performing this calculation on three different calculators:

• Apple iPhone Calculator

• Desmos Scientific Calculator

• Google Calculator

As you can see below, each calculator gives a different display output for 8 ÷ 0

iPhone Calculator

Error

Desmos Calculator

Undefined

Google Calculator

Infinity

So, we input 8 ÷ 0 into three different calculator and we received three different responses:

• Apple iPhone Calculator: 8 ÷ 0 = Error

• Desmos Scientific Calculator: 8 ÷ 0 = Undefined

• Google Calculator: 8 ÷ 0 = Infinity

Given the three different answers, you may be wondering what equals infinity on a calculator?

Well, in terms on operations in math, any number divided by zero or any value that exceeds a calculators computing power limits essentially equals infinity. If the calculator can calculate infinity (like Google’s online calculator), then the output will be either the infinity symbol, ∞, or the word infinity.

However, most calculators can not show infinity and, rather, will show either the word undefined (like the Desmos calculator) or will show an error message (like the iPhone calculator).

What Equals Infinity on Advanced Calculators?

What equals infinity on a calculator? Photo by Jakub Żerdzicki on Unsplash

While most standard and scientific calculators can not display or perform operations involving infinity, there are more advanced calculators with high levels of computing power that do have the capacity to display infinity.

These advanced calculators have a wider range of functions and buttons, some of which include the infinity symbol.

For example, the popular TI-84 graphing calculator from Texas Instruments does not have an infinity button, but it does have the capability the make calculations involving infinity by inputting 1E99 (or -1E99 to specify negative infinity).

So, if you ever plan on making many complex calculations involving infinity, an advanced graphing calculator is a great tool to have.

Conclusion: How to Get Infinity on a Calculator

In math, infinity is an incredibly fun and interesting concept to explore. When it comes to making calculations, the steps for how to get infinity on a calculator depends on the calculator you are using and its computing power. But, even if your calculator can not display infinity or the infinity symbol, ∞, the presence of an error message or an undefined message often means that the answer is infinite.

So, the next time that you perform a mathematical operation on a calculator, such as dividing a number by zero, your calculator will push itself to its computational limits and give you an answer that either reads error, undefined, or infinity.

In all of these cases, your calculator has acknowledged the boundless and mysterious concept of infinity, which is pretty darn cool!

Infinity (Image: Mashup Math FP)

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I Met a Man on the London Bridge Riddle—Answer and Explanation

I Met a Man on the London Bridge Riddle: Solved

What is the answer to the famous ‘I Met a Man on the London Bridge’ Riddle?

I Met a Man on the London Bridge Riddle

A simple, yet surprisingly challenging, word riddle has recently been trending on the internet and many are struggling to find the solution. The riddle, which is shown below, gives you only three sentences and no picture. With this limited information, you must determine the mans name and win the guessing game.

If you want to try and solve the ‘I Met a Man on London Bride’ riddle on your own, carefully read the riddle below and play with it in your mind for a while until you figure out the answer. And, if you want to see the I Met a Man on the London Bridge Riddle Answer, keep scrolling down to the bottom of this post for a full explanation.

Now, let’s take a look at the riddle:

I met a man on London Bridge. He tipped his hat and drew his name and cheated at the guessing game. What was the man’s name?

At first glance, this famous riddle probably seems nonsensical. How can there possibly be enough information to determine the man’s name? We promise you that the riddle itself gives you enough information to figure out the answer, but it will surely take some mental effort to solve this one.

Again, if you want to try to solve the riddle on your own, pause now. Otherwise, continue reading to see the answer and explanation.

via GIPHY

I Met a Man on the London Bridge Riddle Answer

Are you ready to learn the answer to the I Met a Man on the London Bridge riddle?

Answer: The man's name is Andrew.

The charm of this simple riddle lies in how it steers the reader down a literal path of interpretation, while actually hiding the answer in plain sight. The man’s name, which is Andrew, is hidden in the riddle itself (hence why we stated that no additional information was needed to solve the riddle).

Additionally, the I Met a Man on the London Bridge riddle is extra tricky when you have the words read aloud to you, rather than reading them in written form.

Either way, the man’s name is included in the riddle in the line “he tipped his hat and drew his name.” The misdirection here is that the word drew is not a physical action, but actually a cleverly disguised nickname.

The name Drew is short for Andrew, so the answer to the riddle is that the man’s name is Andrew.

The man’s name, which is Andrew, is hidden in plain sight.

Photo by Kimber Nilsson on Unsplash

Conclusion

The I Met a Man on the London Bridge riddle is an awesome example of how a few simple statements can be used to bend and divert your assumptions and perceptions of meaning. The riddle uses our tendency to look for explicit information when solving problems against us by using misdirection.

In addition to being an enjoyable brain exercise, solving the I Met a Man on the London Bridge riddle reminds the reader that we often make assumptions and apply mental biases when solving problems, which can cause us to make simple problems more complicated than they need to be and overlook solutions that are often right in front of our face from the very start.

So, working on riddles like I Met a Man on the London Bridge is a great way to remind ourselves to approach solving problems with an open mind, to apply outside-of-the-box thinking, and to do your best to not allow presumptuous thinking to narrow your perspective.

What is a Whole Number in Math?

What is a Whole Number in Math?

What is a whole number in math, is 0 a whole number, and how can you tell if a number is a whole number or not?

What is a whole number in math?

Do you remember when you first started learning how to count? At this early stage, you likely used your fingers as a simple counting tool. One, two, three, four, and so on. While the days of counting on your fingers are likely long behind you, the journey that you began then has led you to this point, where you are ready to learn about whole numbers, what they are, and how they fit into the number system.

Before we dive into learning about whole numbers, lets quickly review the definition of a natural number so that you can understand the difference between a natural number and a whole number later on.

What is a Natural Number?

In math, natural numbers are the numbers that we use for counting and ordering values or amounts. The set of natural numbers starts at 1 and is as follows: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …}

Natural numbers are sometimes referred to as counting numbers. Notice that the set of natural numbers does not include 0, fractions/decimals, or negative numbers.

We can visualize the natural numbers on a number line as shown in Figure 01 below:

Figure 01: What is a Natural Number?

What is a Whole Number?

Now that you know what a natural number is, you can extend that understanding to whole numbers.

In math, whole numbers are a set of numbers that includes all of the natural numbers as well as 0.

The set of whole numbers starts at 0 and is as follows: { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …}

Notice that, just like the set of natural numbers, the set of whole numbers does not include fractions/decimals or negative numbers.

We can visualize the whole numbers compared to the natural numbers on a number line as shown in Figure 02 below:

Figure 02: What is a whole number?

Simply put, the set of whole numbers is just the entire set of natural numbers with zero included.

With this in mind, we can say that the set of natural numbers is a subset of the set of whole numbers, which is why the diagram in Figure 03 below is often used to demonstrate this relationship.

Figure 03: Natural numbers are a subset of whole numbers. All whole numbers (except zero) are natural numbers too.

The Role of Zero: Is 0 a Whole Number?

Next, let's explore commonly asked question regarding whole numbers: Is zero a whole number? The answer to this quest is yes!

Zero is a whole number.

When it comes to the universe of numbers (and its subsets), the value zero is important because it represents a quantity of “nothing” or an empty set. In the case of whole numbers, zero is the dividing point that separates the positive numbers from the negative numbers (since zero is neither positive or negative).

As you continue to study the universe of numbers, you will continue to consider negative numbers and the set of integers, which includes all zero, all of the natural numbers, and their negative counterpart.

The set of integers in comparison to whole numbers and natural numbers, as well as the role of zero, is shown in Figure 04 below.

The set of integers does not include any values with fractional or decimal part. It does not have a starting point and is as follows {…,-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,…}

Figure 04: Is zero a whole number? Zero is a whole number and an integer as well.

Figure 05: Whole numbers and natural numbers are subsets of integers.

Examples of Whole Numbers

Now you are ready to extend your understanding of whole numbers to a few examples with real-world context:

• Example #1: The number of members in the chess club. You can’t have a fraction of a person or a negative person as a member of a club, so the number used to describe the number of members will always be a whole number such as 7 or 12. And, of course, if nobody joins the chess club, you could say that there are zero members.

• Example #2: The amount of marbles in a bag. You can’t have a fraction of a marble or a negative marble, so the number used to describe the amount of marbles in a bag will always be a whole number such as 22 or 60. And, if the bag is empty, you could say that the amount of marbles is zero.

• Example #3: The number of cars for sale at a dealership. Again, it is not possible to have a fraction of a car or a negative car, so the number of cars for sale will be a whole number such as 5 or 116. If all of the cars are sold and there is nothing for sale at the dealership at any point in time, then the amount of cars for sale can be zero.

Figure 07: Whole Numbers in the Real-World: The number of cars available for sale at a dealership will always be a whole number such as 25 since it’s impossible to have a fraction of a car or a negative car and the amount of cars available can be zero if the lot is empty. Photo by Alex Suprun on Unsplash

Conclusion: What is a Whole Number in Math?

In math, the universe of numbers can be broken into several subsets.

The most basic of these subsets are the Natural Numbers (also known as counting numbers), which related to elementary finger counting as follows: {1, 2, 3, 4, 5, …}.

Whole numbers are a set of numbers that includes all of the natural numbers as well as 0.

Unlike the set of natural numbers, which starts at 1, the set of whole numbers starts at 0 and is as follows: { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …}. Whole numbers can not be fractions or negative.

The set of whole numbers is just the entire set of natural numbers with zero included and we can say that the natural numbers are a subset of whole numbers.

While not a natural number, zero is a whole number and it plays an important role in the universe of numbers as a divider/boundary between the positive numbers and the negative numbers.

This understanding of whole numbers will help you as you continue on with your study of real numbers and their subsets, especially your next likely destination: integers.

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Why Am I So Bad at Math? (And How to Get Better)

If you are wondering, why am I so bad at math? The fault is likely due to you having a fixed mindset for learning, which is often a product of being negatively affected by harmful misconceptions about your ability to learn math.

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What is Finite Mathematics?

What is Finite Mathematics?

This Fascinating Field of Study Focuses on Math Concepts in the Finite Universe and Has Tremendous Real-World Applications.

What is Finite Mathematics? (Image: Mashup Math FP)

Math can be a challenging subject, especially at the college level, but it can also be incredibly rewarding as the subject has practical applications that are useful in essentially every career path imaginable. This post will explore Finite Mathematics, what it entails, how difficult it is, and how it differs from calculus.

What is Finite Mathematics?

Finite Mathematics is an extremely interesting branch of math that primarily deals with concepts applicable to the finite (as opposed to infinite) universe. Despite its technical name, finite mathematics is primarily concerned with applying mathematics problem-solving and reasoning to real-world phenomena, making it a critical area of knowledge for students pursuing careers in business, social sciences, computer science, and other practical career disciplines.

What is Finite Mathematics? Photo by Antoine Dautry on Unsplash

Typical Finite Mathematics courses will cover any or all of the following math topics:

• Linear algebra: This topic focuses on vectors, vector spaces, linear transformations, and systems of linear equations. Linear algebra is integral to various fields of study ranging from business economics to applied physics.

• Set theory: This topic focuses on the study of sets, or collections of distinct numbers/objects. Set theory serves as a key foundation to several branches of mathematics.

• Combinatorics: This topic is the study of counting, arrangement, and combination of numbers/objects including permutations, combinations, and counting principles.

• Probability: This topic focuses on the analysis of uncertainty and random occurrences. The study of probability is a cornerstone of statistics.

• Graph theory: This topic focuses on the exploration of graphs and is highly applicable in computer science, where data structures are often represented in graphical form.

• Logic: While more abstract, this topic focuses on formalizing mathematical statements and investigating their validity in a mathematical/systematic way.

• Matrix algebra: This topic focuses on the study of matrices and their algebraic properties. Matrix algebra is closely tied to linear algebra.

• Finite calculus or difference equations: This topic focuses on discrete change, such as sequences and series. Finite calculus is often a precursor to calculus, which deals with the infinite universe.

Before moving on, it is worth noting that not all Finite Mathematics courses or textbooks will cover all these topics.

Is Finite Mathematics Hard?

As with any math course, the difficulty level of Finite Mathematics varies from student to student. Since Finite Mathematics relies heavily on logical reasoning, critical thinking, and the application of math formulas and algorithms, the difficulty is often directly related to how well you understand these related topics. If these areas are your strengths, you will likely find Finite Mathematics appropriately challenging for you (i.e. not too hard and not too easy).

Still, Finite Mathematics can be tricky at times even if you are proficient in logical reasoning, critical thinking, and the application of math formulas and algorithms. Why? Because, as previously mentioned, Finite Mathematics courses often cover a diverse range of topics that require students to be proficient in a variety of math skills and concepts.

However, with the right attitude and approach, most students can be successful in Finite Mathematics and you are likely to struggle much less than you would in a typical Calculus course. In any case, it is always important to remember that, when it comes to mathematics, once you understand the basic principles, more complex ideas become easier for you to grasp.

Is finite mathematics hard? Like any math course, the difficulty level will vary from student to student. Photo by Matt Wildbore on Unsplash

Finite Mathematics vs. Calculus

So, what is the difference between Finite Mathematics and calculus?

The main difference between Finite Mathematics and calculus is the subject of infinity. Finite Mathematics restricts itself to finite sets, meaning that it does not explore the concept of infinity or infinite sets. On the other hand, calculus delves into the concept of infinity to describe continuous change.

In essence, Calculus takes the study of Finite Mathematics to the next level, which is why it is typically considered to be a more complex and challenging field of mathematics.

Because calculus is more complex than Finite Mathematics, it is often divided two sections: differential calculus and integral calculus. The topics covered in calculus are fundamental to physics, engineering, and economics, among other fields.

In contrast, Finite Mathematics focuses on discrete phenomena related to the finite universe of numbers. Unlike calculus, which focuses on exploring and describing smooth and continuous change, Finite Mathematics excels at analyzing distinct elements and systems that are countable and often rooted in real-world scenarios and data. As such, the topics covered in finite mathematics are often applicable to computer science, statistics, and operations research.

Despite these differences, Finite Mathematics and calculus share a very strong common foundation rooted in the exploration and application of logic and mathematical reasoning.

The skills taught in finite mathematics are often applicable to the field of computer science and research. Photo by Mohammad Rahmani on Unsplash

Conclusion: Finite Mathematics

In conclusion, whether or not Finite Mathematics is the right math course for you depends on your math skill level, personal interests, career aspirations, and comfort with mathematical logic and reasoning. While not as complex as calculus, Finite Mathematics is an engaging course with many real-world and career-relevant applications. Mastering this field of math will allow you to continue to pursue careers in a variety of desirable fields and industries. With the right mindset and approach, and a willingness to challenge yourself, you are likely to find the journey that is Finite Mathematics to be both valuable and rewarding.

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Bigfoot Sightings Map —Decoding Bigfoot's Trail Using Data

Decoding Bigfoot's Trail: How a Bigfoot Sightings Map Can Predict Bigfoots Whereabouts

Where is Bigfoot? By analyzing a comprehensive Bigfoot Sighting Map, you can see where sightings and concentrated and better predict Bigfoot’s movements and up-to-date location.

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Bigfoot Sighting Map Courtesy of the Bigfoot Mapping Project (click to enlarge). Screenshot from www.bigfootmap.com.

Today’s post will focus on tracking the elusive Bigfoot, a creature that has managed to keep humanity on our toes for hundreds of years. And our tool for tracking the movements and potential locations of Bigfoot will be a detailed and comprehensive map of bigfoot sightings that will allow you to visualize and potentially predict Bigfoot's next move.

The legendary creature known as Bigfoot has been sighted in many parts of North America, leading to numerous theories about his movement patterns and general whereabouts. Bigfoot’s location has been an ongoing mystery that continues to baffle scientists and enthusiasts alike as it remains unclear whether or not Bigfoot is continuously on the move or if there are multiple Bigfoot-like creatures scattered around North America.

Given the mystery surrounding Bigfoot and his whereabouts, looking at a comprehensive bigfoot sighting map is great way to make educated and scientific predictions and conclusions about Bigfoot, his movements, and his location at any given time.

Bigfoot Sightings Map: Is Bigfoot a migratory creature? Does he stay in one place or is he nomadic? Is there more than one Bigfoot? Photo by Ayako on Unsplash

A Bigfoot sightings map is a two-dimensional grid that depicts all of the landmass of North America and has points plotted at all of the geographical locations where a Bigfoot sighting has been reported. Every plotted point represents one reported Bigfoot sighting. And, by compiling all of these sightings on a map, you can use the data to see where sightings are concentrated and also track/predict Bigfoot’s movement patterns.

Why is the Bigfoot sightngs map such a useful tool? From a scientific and mathematical standpoint, patterns often hint at reliability and predictability, and this is where any serious analysis of determining Bigfoot’s whereabouts should begin.

Analyzing a map of Bigfoot sightings can give you important and incredibly useful insights into Bigfoot's preferred geological living environment, potential movement patterns, and, most importantly, his current location.

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Bigfoot Sighting Map: Concentrated sightngs in the Pacific Northwest

Additionally, the sightings map can help you to determine if there are certain geological features favored by Bigfoot. For example, does he prefer dense forests over open plains? Does he prefer to be near major water sources, cave systems, weather conditions, etc.? Does Bigfoot tend to appear during specific seasons or times of day?

By better understanding these questions and there potential answers, you have a much better chance of determining Bigfoot’s current location at any given point in time.

Many Bigfoot sightings have been reported in the dense, remote forests of the Pacific Northwest regions of the United States and Canada. This pattern could suggest that Bigfoot prefers forested areas far from human habitation, perhaps for shelter or food resources. The more we understand these patterns, the better we can predict where he might show up next.

Image: Mashup Math MJ

Of course, analyzing a Bigfoot sighting map isn't just about connecting dots or plotting points on a grid. The map itself is only a tool and it requires an understanding of the geographical, climatic, and ecological factors at play. Are there abundant food sources in the areas of reported sightings? What's the population density like? Answers to such questions deepen our understanding of Bigfoot's behavior and raise new questions as well.

In the case of being a Bigfoot detective and using science and data to track the elusive being, we are not merely passive observers, but active participants attempting to unravel the mysteries of Bigfoot's existence. And, in doing so, we contribute to the larger discourse on Bigfoot and his alleged movements.

Bigfoot Sighting Map: Is Bigfoot a migratory creature? Are there multiple Bigfoots?

As organizations continue to collect and analyze sightings data, a Bigfoot sighting map becomes an ever-evolving tool, gaining in accuracy and detail. It's a testament to the collective efforts and scientific curiosity of the Bigfoot community.

However, it is also important to note that, while it's easy to get caught up in the thrill of the chase, it's important to approach each reported sighting with a healthy dose of skepticism. Always consider the source and the circumstances of the sighting. Not every footprint in the mud belongs to Bigfoot.

If you are looking for an interactive and comprehensive Bigfoot map that is constantly updated, we recommend the Bigfoot Mapping Project’s website, where you can see up-to-date Bigfoot sightings, analyze geographical features such as elevation, and report a sighting of your own!

Source: The Bigfoot Mapping Project via https://www.bigfootmap.com

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