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- Calculating Gas Mileage. One of the best real-life applications of algebra is the ability to figure out how far you can drive with a specific number of gallons of gas.
- Calculating the Length of a Trip. Okay so you know how far you are going to get on a gallon of gas. But how long will it take you to get there? If you know how fast you are travelling, and you know how far away your destination is, you can determine the amount of time it will take!
- Financial Planning. I credit my own financial literacy to my understanding of algebra and mathematics in general. Understanding algebra helped my family build our bank account, stay out of debt, and ensure that we always have enough money for our purchases before we make them.
- Budgeting. Another important part of being financially literate is understanding how to set up a budget that balances your monthly expenses and income.
The following math verbs are commonly seen in math exercises, particularly in algebra. Unfortunately, the meaning of each is not often taught, and it is often assumed students know what they mean. Understanding the meaning of each of these math verbs can help you approach a question appropriately.
- 2018
- Sets and Set Theory
- Prime Numbers Go Forever
- It May seem Like Nothing, But . . .
- Have A Big Piece of Pi
- Equality in Mathematics
- Bringing Algebra and Geometry Together
- The Function: A Mathematical Machine
- It Goes ON, and ON, and on . . .
- Putting It All on The Line
- Numbers For Your Imagination
A set is a collection of objects. The objects, called elementsof the set, can be tangible (shoes, bobcats, people, jellybeans, and so forth) or intangible (fictional characters, ideas, numbers, and the like). Sets are such a simple and flexible way of organizing the world that you can define all of math in terms of them. Mathematicians first define...
A prime numberis any counting number that has exactly two divisors (numbers that divide into it evenly) — 1 and the number itself. Prime numbers go on forever — that is, the list is infinite — but here are the first ten: 2 3 5 7 11 13 17 19 23 29 . . .
Zero may look like a big nothing, but it's actually one of the greatest inventions of all time. Like all inventions, it didn't exist until someone thought of it. (The Greeks and Romans, who knew so much about math and logic, knew nothing about zero.) The concept of zero as a number arose independently in several different places. In South America, ...
Pi (π): The symbol π (pronounced pie) is a Greek letter that stands for the ratio of the circumference of a circle to its diameter. Here's the approximate value of π: Although π is just a number — or, in algebraic terms, a constant — it's important for several reasons: Geometry just wouldn't be the same without it. Circles are one of the most basic...
The humble equals sign (=) is so common in math that it goes virtually unnoticed. But it represents the concept of equality — when one thing is mathematically the same as another — which is one of the most important math concepts ever created. A mathematical statement with an equals sign is an equation.The equals sign links two mathematical express...
Before the xy-graph (also called the Cartesian coordinate system) was invented, algebra and geometry were studied for centuries as two separate and unrelated areas of math. Algebra was exclusively the study of equations, and geometry was solely the study of figures on the plane or in space. The graph, invented by French philosopher and mathematicia...
A function is a mathematical machine that takes in one number (called the input) and gives back exactly one other number (called the output). It's kind of like a blender because what you get out of it depends on what you put into it. Suppose you invent a function called PlusOne that adds 1 to any number. So when you input the number 2, the number t...
The very word infinity commands great power. So does the symbol for infinity (∞). Infinity is the very quality of endlessness. And yet mathematicians have tamed infinity to a great extent. In his invention of calculus, Sir Isaac Newton introduced the concept of a limit,which allows you to calculate what happens to numbers as they get very large and...
This pattern continues forever, with each value being halved, which means you can neverget to the other side of the room. Obviously, in the real world, you can and do walk across rooms all the time. But from the standpoint of math, Zeno's Paradox and other similar paradoxes remained unanswered for about 2,000 years. The basic problem was this one: ...
The imaginary numbers (numbers that include the valuei = √ - 1) are a set of numbers not found on the real number line. If that idea sounds unbelievable — where else would they be? — don't worry: For thousands of years, mathematicians didn't believe in them, either. But real-world applications in electronics, particle physics, and many other areas ...
- Mark Zegarelli
- Making Routine Budgets. How much should I spend today? When I will be able to buy a new car? Should I save more? How will I be able to pay my EMIs? Such thoughts usually come into our minds.
- Construction Purpose. You know what, maths is the basis of any construction work. A lot of calculations, preparations of budgets, setting targets, estimating the cost, etc., are all done based on maths.
- Exercising and Training. I should reduce some body fat! Will I be able to achieve my dream body ever? How? When? Will I be able to gain muscles? Here, the simple concept that is followed is maths.
- Interior Designing. Interior designing seems to be a fun and interesting career but, do you know the exact reality? A lot of mathematical concepts, calculations, budgets, estimations, targets, etc., are to be followed to excel in this field.
Apr 23, 2024 · Mathematics plays a vital role in solving numerous real-world problems across various industries. From designing industrial robots to analyzing production quality and planning logistics, math is indispensable for optimizing processes and improving efficiency. Here are several examples of real-world math problems in industry:
May 2, 2024 · Use this glossary of over 150 math definitions for common and important terms frequently encountered in arithmetic, geometry, and statistics.
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Some examples of proof from first principles in mathematics include: The proof of the commutativity of addition from Peano’s axioms The proof of the product rule (for derivative) using limits
