Q1. Jenny has six apples. If she gives away four apples, how many apples does she have remaining?

Q2. Two trains are traveling nonstop to Kansas City, one leaving from Boston (1450 miles away) at 50 miles per hour and one leaving from San Francisco (1850 miles away) at 40 miles per hour. Both trains leave their origins at the exact same time early in the morning. Which train will arrive first, and what will be the time difference of the two trains’ arrival in their final destination in Kansas City?

Q3. What is the radius of a circle with circumference 2π?

**(Check the bottom of this blog post for the answers to the math problems posted above!)**

While it may seem like math problems like the ones above have no real use in life, this couldn’t be farther from the truth! Math is incredibly important in our lives and, without realizing it, we use mathematical concepts, as well as the skills we learn from doing math problems every day. The laws of mathematics govern everything around us, and without a good understanding of them, one can encounter significant difficulties in life.

Read on to learn a few reasons that math is a powerful and incredibly useful tool.

**1. Learning math is good for your brain**

Research conducted by Dr. Tanya Evans of Stanford University indicates that children who know math can recruit certain brain regions more reliably, and have higher gray matter volume in those regions, than those who perform more poorly in math. The brain regions involved in higher math skills in high-performing children were associated with various cognitive tasks involving visual attention and decision-making. While correlation may not imply causation, this study indicates that the same brain regions that help you do math are recruited in decision-making and attentional processes.

**2. Math helps you tell time**

“I’m late, I’m late for a very important date.” – White Rabbit from the movie *Alice in Wonderland*. Don’t let your ignorance of math make you like the White Rabbit! A recent study indicated that 4 out of 5 children living in Oklahoma City can’t read the hands on an analog clock to tell time. Knowing math, and particularly fractions, can help you better tell time. While analog clocks may eventually become obsolete, don’t let your ability to tell time become outdated! Use your knowledge of fractions to help you tell time on analog clocks that have an hour, minute, and (sometimes) second hand.

**3. Math helps you with your finances**

Math can be helpful for balancing your budget because you will have a good understanding of how to make sure that your costs are less than the money you have. Balancing one’s bank account, for example, is an important life skill that requires math in order to subtract balances. People who know math are therefore less likely to go into debt because they did not know how much money they had versus how much money they spent.

**4. Math makes you a better cook (or baker)**

With knowledge of math, for example, you can quickly deduce that a half-cup of flour is the same thing as eight tablespoons of flour. This skill can prove handy if you find that your half-cup measure is missing. Likewise, if you are cooking from a recipe that serves four people, but you need to feed eight people, your math skills tell you that you can simply double all of the necessary ingredients. Without math, you may not have enough food (or have too much food) to feed your guest!

**5. Math helps us have better problem-solving skills**

Math helps us think analytically and have better reasoning abilities. Analytical thinking refers to the ability to think critically about the world around us. Reasoning is our ability to think logically about a situation. Analytical and reasoning skills are essential because they help us solve problems and look for solutions. While it may seem far-fetched to believe that solving the train problem above can help you solve a problem in your life, the skills that you use in framing the problem, identifying the knowns and unknowns, and taking steps to solve the problem can be a very important strategy that is applicable to other issues in life.

**6. Practically every career uses math in some way.**

Obviously, mathematicians and scientists rely on mathematical principles to do the most basic aspects of their work, such as test hypotheses. While scientific careers famously involve math, they are not the only careers to do so. Even operating a cash register requires that one understands basic arithmetic. People working in a factory must be able to do mental arithmetic to keep track of the parts on the assembly line and must, in some cases, manipulate fabrication software utilizing geometric properties (such as the dimensions of a part) in order to build their products. Really, any job requires math because you must know how to interpret your paycheck and balance your budget.

**7. Math is all around us and helps us understand the world better**

To live in a mathematically-driven world and not know math is like walking through an art museum with your eyes closed. Learning and appreciating math can help you appreciate things that you would not otherwise notice about the world.** **In reality, math is everywhere! Don’t believe me? Read on for some examples of math in nature.

Bees, masters of geometry, use hexagonsto build their honeycombs. The Fibonacci sequence, a famous sequence of numbers in mathematics, is found throughout nature: in pinecones, seashells, trees, flowers, and leaves.

The number pi can also be observed all around us. Pi is a cool number with many unique properties. Pi is approximately 3.14, but in reality, it is greater than 3.14, with an infinite string of numbers after the decimal point. Because pi is, in reality, an infinitely long number, it is expressed as the Greek letter pi (π). It cannot be expressed as a fraction; numbers that cannot be expressed as fractions are said to be *irrational*. Pi is also *transcendental*, which means that it is non-algebraic; this means that pi cannot be the solution of single-variable polynomial equations whose coefficients are all integers. (By definition, all transcendental numbers are also irrational.)

The number pi can be observed in the shapes of rivers. The ratio of a river’s length to the distance from the source to its mouth is called the “meandering ratio.” The average meandering ratio of rivers approaches the number pi. It makes sense that the average meandering ratio of rivers approaches pi, because rivers tend to bend into loops, which are circular in nature. The ratio of a circle’s circumference to its diameter is also equal to pi.

Now that you know more about pi and about how math governs nature, don’t you feel that you have a greater command over the mathematical laws of the universe? It can be empowering to learn about mathematical principles because it can help make sense of a world that, oftentimes, does not make much sense.

**8. Math can make you more popular**

Before you start to disagree with me, think about how great it is to go to dinner with a friend who can quickly divide a check in their mind to determine how much each person needs to pay to split the bill. Your knowledge of fractions can also help you divide a pizza among a few people. While math is popularly the realm of nerds, your ability to avoid awkward confusion and silence as you and your friends try to divide a pizza or a dinner bill is a truly valuable skill. Be known as the cool (yes, I said *cool*) person that knows how to do mental math quickly!

**9. Math can help you shop for a good sale**

Not only will your quick mental arithmetic skills help you become known as the smart person who everyone appreciates when the waiter brings the check to your table, your math skills can also help you shop. Knowledge of percentages and how to calculate them quickly can help you save time when shopping at a sale at the mall – for example, to quickly calculate a discounted price, or to determine whether you’ve been correctly charged when paying for a shirt at the store. You don’t need a Ph.D. in math to develop some quick mental arithmetic skills; they can help you in these and other areas of your life in the long run.

** Tip: use the 10 rule while sale-shopping.** If you want to brush up on your math skills to be a better bargain-hunter, remember this rule: to subtract 10 from a price, you can just move the decimal place to the left by one digit. Take, for example, a shirt that has a price of $25.00 and is on sale for an additional 20 off. You can move the decimal over to the left by one digit to calculate 10 off – $2.50. Since 20 off is 2 x 10 off, you can quickly multiply $2.50 x 2 to get the discount amount – $5.00. Subtract the discount amount from the original price of the shirt: $25.00 – $5.00 = $20.00. You can use the 10 rule to quickly calculate 10 of the price and multiply it by a factor that can help you estimate price discounts quickly.

**10. Math is a universal language**

Sure, it’s mostly equations, numbers, and some Greek letters, but math is understood the same virtually all over the world (and who knows, maybe all over the universe)! A math equation doesn’t need to be translated to another language to be understood by someone on the other side of the planet. A mathematical law doesn’t change because someone has a different religion than you or speaks a different language from you. 2 + 2 = 4 in every single place on planet Earth. Pretty cool! The universality of math is one of the many things that makes it such a powerful tool and, indeed, essential life skill.

In summary, math is not only important for success in life; it is all around us. The laws of mathematics are evident throughout the world, including in nature, and the problem-solving skills obtained from completing math homework can help us tackle problems in other areas of life. While many may complain that math is boring or complicated, the truth is that a life devoid of math means that we go around experiencing the world on a much less interesting level than we could.

Math problem answers:

A1. Two apples

A2. To solve this problem, simply divide the distance travelled for each train by its speed to obtain the time that the journey will take. Assuming that the trains travel a uniform velocity and make no stops, The Boston train will arrive in Kansas City in (1450 / 50) = 29 hours. The San Francisco train will arrive in (1850/40) = 46.25 hours.(Video) Where do math symbols come from? - John David Walters

To calculate the time difference, simply subtract 46.25 from 29 = 17.25.

Therefore, the Boston train will arrive first – and the San Francisco train will arrive 17.25 hours later.

A3. The circumference of a circle is equal to the diameter of the circle times pi. Therefore, dividing the circumference (2π) by π gives us the diameter, which is 2. The radius is half the diameter, so in this case, 2/2 = 1. Therefore, the radius of a circle with circumference 2π is equal to 1.

## FAQs

### What are the 10 uses of mathematics in our daily life? ›

**10 Ways We Use Math Everyday**

- Chatting on the cell phone. Chatting on the cell phone is the way of communicating for most people nowadays. ...
- In the kitchen. Baking and cooking requires some mathematical skill as well. ...
- Gardening. ...
- Arts. ...
- Keeping a diary. ...
- Planning an outing. ...
- Banking. ...
- Planning dinner parties.

**What are some examples of math in everyday life? ›**

**Here are the top places where.**

- Telling Time. There are a lot of math concepts you need to understand in order to know how to tell time. ...
- Working Any Job. How much do you make an hour? ...
- Shopping. ...
- Cooking. ...
- Decorating. ...
- Driving. ...
- Critical Thinking. ...
- Watching the News.

**Why is math important 5 reasons? ›**

Someone who understands math is able to understand basic life skills such as managing a budget, building furniture, forecasting, and telling time. **Math helps you understand costs, balance a bank account, and subtract balances** which are essential skills as adults.

**How much of maths do we use in everyday life? ›**

**Maths helps you construct things**

DIY needs some creative flair, the right set of tools, and most importantly, a good understanding of mathematics. Measuring lengths, widths, and angles, estimating project costs, and piecing it all together are a few instances that show how vital Maths is for projects at home.

**How do children use maths in everyday life? ›**

Well, you'll need to use maths **to calculate what you need to buy**. From working out how many slices of bread you'll need to make everyone sandwiches to how many nappies your newborn baby will fill! You may also need to work out percentage discounts. You're using averages, multiplication, addition skills.

**How do we use algebra in everyday life? ›**

Especially, when you are making items like cake, vegetable soups, etc, where the correct combination of the ingredients is very crucial, Algebra comes to your rescue and **helps you find the correct quantity of ingredients to make the food sufficient for different sizes of servings**.

**What are the interesting facts about maths in daily life? ›**

**20 Cool Facts About Maths**

- The word “hundred” comes from the old Norse term, “hundrath”, which actually means 120 and not 100.
- In a room of 23 people there's a 50% chance that two people have the same birthday.
- Most mathematical symbols weren't invented until the 16th century.

**How is math used in cooking? ›**

A chef's routine includes simple to complex math calculations. Examples include **counting portions, increasing a recipe yield, determining a ratio for preparing a stock, calculating a plate cost, or establishing a food and labor budget**.

**What are the 3 reasons we study mathematics? ›**

...

**DEVELOP TRANSFERABLE SKILLS**

- Data analysis.
- Organisation.
- Critical thinking.
- Time management.
- Communication.
- Decision making.

**What math is all important? ›**

Mathematics is **a fundamental part of human thought and logic, and integral to attempts at understanding the world and ourselves**. Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor.

### Why math is so important for kids? ›

Maths **helps kids understand pocket money, participate in family shopping or holiday budgeting and save up for toys and things they enjoy**. Later in life, it will help them learn contracts, bills, and taxes. Math helps us understand the world around us by helping us figure out patterns.

**Why is math most useful? ›**

It's a much-desired skill as **it allows people to think logically, sort through lots of data, and think through every angle of a problem**.

**Does doing math everyday help? ›**

Solving math problems and improving our math skills gives our brain a good workout. And it improves our cognitive skills over time. **Many studies have shown that routinely practicing math keeps our brain healthy and functioning well.**

**Should we practice maths daily? ›**

Therefore, **it is suggested that you must practise Maths every day, even if it is for an hour or two**.

**Why are numbers important in our life? ›**

Good numeracy is essential to us **as parents helping our children learn, as patients understanding health information, as citizens making sense of statistics and economic news**. Decisions in life are so often based on numerical information; to make the best choices, we need to be numerate.

**What is an example of algebra? ›**

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is **5x + 6**. Here 5 and 6 are fixed numbers and x is a variable.

**What life skills does algebra teach? ›**

This ability to **grasp complex, changing, and abstract concepts** stimulates the brain, helping students learn how to think in new ways. Algebra also helps students organize their thinking, making it easier for them to craft reasonable re- sponses when confronted with complicated or dynamic situations.

**What are math facts to 20? ›**

What are the Addition Facts to 20? The addition facts to 20 are simply **the sums from 0+0 up to 10+10**. They're the building blocks of arithmetic, and usually the first math facts that children master.

**How mathematics is used in our daily life Wikipedia? ›**

Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science and the social sciences. Although **mathematics is extensively used for modeling phenomena**, the fundamental truths of mathematics are independent from any scientific experimentation.

**What are math facts about 25? ›**

In mathematics

**It is a square number, being 5 ^{2} = 5 × 5**. It is one of two two-digit numbers whose square and higher powers of the number also ends in the same last two digits, e.g., 25

^{2}= 625; the other is 76. It is the smallest square that is also a sum of two (non-zero) squares: 25 = 3

^{2}+ 4

^{2}.

### How is math used in grocery shopping? ›

Math used when buying something

**First, you use counting and addition used in order to tell how much money you have**. Percentages and addition are used to calculate the purchase price. Then subtraction is used in order to figure out how much change is due.

**How is math used in sports? ›**

Math has become increasingly important in sports with the advancement of technology in recent years. Math is used in sports for everything, from **calculating scores to average points, scoring goals, winning scores, creating leaderboards, developing strategies, and calculating probability**.

**How is math used in music? ›**

**Mathematics also plays a pivotal role in musical harmony**. Essentially, harmony is the combination of musical sounds as perceived by the ear and is analyzed in terms of math based concepts such as frequency, pitch, and chord progression. Mathematics is also deeply interwoven with the western notion of musical scale.

**What life skills does math help? ›**

**Using Math to Improve Important Life Skills**

- Problem-Solving Skills. Even simple addition and subtraction problems are about more than reaching the right answer. ...
- Language Skills. ...
- Spatial Skills. ...
- Wayfinding Skills. ...
- Financial Skills. ...
- Memory Skills. ...
- Critical Thinking Skills.

**What are the most important math skills for life? ›**

According to respondents, the most important daily life skills that incorporate mathematics are **budgeting (76.7%), computer use (64.8%), and understanding credit (58.1%)**.

**What is an example of math is powerful? ›**

Examples of the power of mathematics

**Mathematics makes sure that bridges and buildings stay up**. Mathematics allows your GPS to find the shortest route for you in very little time. Mathematics reduces waste when used for inventory control, for distribution networks, for product creation.

**What are the 4 main things in math? ›**

**Addition, subtraction, division and multiplication**

Knowing these operations is essential for handling money: Addition: It involves adding two or more numbers together.

**What are the four importance of mathematics? ›**

Mathematics has a number of very useful benefits to our mind if we go into its study. It **develops our reasoning, helps us to have analytical thinking, quickens our mind, generates practicality and also its use can be applied in the day to day**.

**How mathematics helps us in the future? ›**

Math has many benefits that many people don't even realize. It can help develop specific areas of the brain and improve analytical and reasoning skills. It can help students become more practical and be beneficial in everyday situations.

**Why is 10 such an important number? ›**

Number ten **symbolizes the completion of a cycle**. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).

### What is the most important form of math? ›

1- **Arithmetic**

Addition, subtraction, multiplication, and division form the basis of it because they are used to solve a large number of questions and advance in more complex concepts. Arithmetic is one of the most important branches because its principles are used in everyday life for a variety of reasons.

**Do you need math for life? ›**

Math is incredibly important in our lives and, without realizing it, we use mathematical concepts, as well as the skills we learn from doing math problems, every day. The laws of mathematics govern everything around us, and without a good understanding of them, one can encounter significant problems in life.

**Is math important in society? ›**

**Mathematics has significantly helped the development of science and technology for thousands of years and will continue to do so now**. It has uses in commerce, business, culture, government, athletics, medicine, farming, architecture, and the natural and social sciences, among other things.

**Why do people like math? ›**

Numbers help us understand the world, and **Math helps us understand numbers**. The real-life applications of Mathematics are endless. We are surrounded by numbers, equations and algorithms – especially in this age of data science, with huge data sets that can only be understood through statistical models and analysis.

**What are the 5 applications of mathematics? ›**

**Real-Life Applications of Mathematics**

- Algebra.
- Differential Equations and Fourier Analysis.
- Differential and Computational Geometry.
- Probability and Statistics.
- Numerical Analysis.
- Operations Research and Optimization.

**What is the main use of math? ›**

Mathematics **provides an effective way of building mental discipline and encourages logical reasoning and mental rigor**. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school subjects such as science, social studies, and even music and art.

**What are the benefits of mathematics? ›**

**Here's why.**

- Math promotes healthy brain function. ...
- Math improves problem-solving skills. ...
- Math supports logical reasoning and analytical thinking. ...
- Math develops flexible thinking and creativity. ...
- Math opens up many different career paths. ...
- Math may boost emotional health. ...
- Math improves financial literacy. ...
- Math sharpens your memory.

**What are the interesting facts about mathematics in daily life? ›**

**20 Cool Facts About Maths**

- The word “hundred” comes from the old Norse term, “hundrath”, which actually means 120 and not 100.
- In a room of 23 people there's a 50% chance that two people have the same birthday.
- Most mathematical symbols weren't invented until the 16th century.

**What are 5 things algebra is used for in real life? ›**

utilizing linear algebra, and this uniqueness starts to expose a lot of applications. Other real-world applications of linear algebra include **ranking in search engines, decision tree induction, testing software code in software engineering, graphics, facial recognition, prediction** and so on.

**What are the 8 mathematical practices? ›**

**Standards for Mathematical Practice**

- Make sense of problems and persevere in solving them. ...
- Reason abstractly and quantitatively. ...
- Construct viable arguments and critique the reasoning of others. ...
- Model with mathematics. ...
- Use appropriate tools strategically. ...
- Attend to precision. ...
- Look for and make use of structure.

### Why is math used everywhere? ›

Math can help us to shop wisely, read maps, buy the right car, use the right computer font, cook a delicious meal, remodel a home within a budget, or develop the next mobile app. In reality, **mathematical concepts can be found in our everyday lives**--math is used everywhere!

**What is the most important things to learn in math? ›**

To do anything involving math, you will need to know **how to add, subtract, multiply and divide basic numbers**. Knowing these basics is extremely helpful, especially when dealing with money.

**What are the 4 types of math? ›**

The main branches of mathematics are **algebra, number theory, geometry and arithmetic**.

**Why is math good for your brain? ›**

Maths build skills in concrete reasoning, logical reasoning, spatial reasoning, and critical thinking. **It sharpens one's mind and helps to eliminate blurred thinking, which in turn results in better problem solving and creative thinking**.

**Why is math important for kids? ›**

Math is important and it's important to **help young children develop their mathematical thinking**. A child's math knowledge at the start of kindergarten predicts later academic achievement better than early reading or attention skills. Math is part of children's everyday lives.

**What is the benefit of math for kids? ›**

Math **teaches children a systematic way of arriving at solutions to problems through reasoning**. This means children can look at unfamiliar situations, analyze them, and arrive at the next logical step, allowing children to develop a mindset that helps them figure out a sequence of steps to solve any problem.