For students, mathematics is a very challenging subject, and these concepts “arithmetic vs geometric” also have to deal with infinite numbers. The reason for studying arithmetic or maths is it builds problem-solving skills, and it helps students to think of solutions logically. Arithmetic mainly refers to working with numbers by doing addition, subtraction, multiplication, and division.
We need to understand “arithmetic vs geometric” in order to utilize it in our daily lives. It also works for some other courses as a base. Generally, maths is a subject which we use in our simple way or almost all the time. If you have some interest in math then you will enjoy solving problems otherwise, it would be a nightmare if you feel bored or have less practice. It helps businesses or companies to handle many critical issues but in a logical way. Let’s have a look at some daily routine tasks in which math is used.
What Is Arithmetic?
Table of Contents
- Arithmetic is a topic of mathematics that deals with basic operations like addition, subtraction, multiplication, and division.
- It involves working with numbers to perform calculations and solve problems.
- Arithmetic includes working with numbers, particularly adding, subtracting, multiplying, and dividing which are the basic concepts of arithmetic.
- It is used to solve problems that involve calculating quantities of various types, such as counting objects, calculating distances or times, or determining costs or prices.
- Arithmetic forms the foundation for more advanced mathematical concepts like algebra, trigonometry, and calculus.
- It is an important skill to learn and practice, as it is an essential part of many academic and professional fields, including finance, engineering, and science.
Explore 7+ Uses Of Arithmetic In Real-Life
Here are some 7+ real-life examples that you can explore and try in real life:
1. Managing Time
We have to manage time either we are working, or we are kids. In every field, we have to manage time to complete various tasks, including deadlines to submit assignments and plan a routine, whether for work or studies.
Budgeting is an essential part of life, whether working in a company or managing a home. So, a budget helps to drive profit and loss for the whole year.
As you know, we count the number of repetitions based on math. Without math, we can’t abe to do our workout.
Without knowing math, we can’t keep track of scores for sports activities. Geometry and trigonometry help improve their skills in sports, i.e., find the best way to hit the ball, make a basket, etc.
While driving a car or bike is a series of calculations in reaching the destinations. Driving a car includes kilometers that help move quickly and find the best way to get to the destination.
6. Home Decorating
For decorating, wallpapers are used, including a meter and a square meter, which help us find the requirement. It shows us if we have enough room to install the wallpaper.
Arithmetic or maths is also used in fashion designing. It helps take measurements, estimate the cost and profit, produce cloth according to the needs, and many more.
8. Critical Thinking
Maths helps increase the ability to think critically, like solving puzzles, analyzing, etc.
9. The base of all subjects
As you know, maths is the basis of all the topics like physics, chemistry, economics, accounts, etc. Without basic math knowledge, we can’t study these other subjects and do a master’s.
I hope now you understand how arithmetic helps in our daily life and on the other side geometry also helps us in our work. If you want to know which is superior, “arithmetic vs geometric,” you must first understand what each term means. After understanding the concept of arithmetic now, it’s time to explore the topic of geometric.
What Is Geometric?
- Geometric word originated from the term geometry. It is a branch of mathematics that deals with the dimensions of objects, shapes, sizes and positions.
- It includes the topics of various shapes, such as points, lines, angles, triangles, circles, squares, and more complex figures, like polygons, octagons, hexagons and polyhedra.
- Geometric concepts are used in many fields such as including architecture, engineering, design, art, and physics.
- Geometric principles and properties are used to measure, compare, and analyze objects, as well as to solve problems and create new designs.
- Geometric patterns and shapes are mostly used in art, fashion, and decor and can create visual designs.
After studying both the concepts “arithmetic vs geometric” then you find which one is better for your growth. Now we focus on some uses of geometry in our daily life.
Explore 5 Uses Of Geometric In Real-Life
Here are some uses of geometric real-life examples that you can explore and try in real life:
1. Construction Of Buildings
In the construction of buildings, geometry plays an important part. It is used to make dams, buildings, rivers, temples, etc. geometry is used to make temples that hold our country’s heritage because some of the temples are considered miracles done by the people.
2. Computer Graphics
In computer graphics, we prepare audio-visual presentations using geometry in the field of education, entertainment, etc. With the concept of geometry, designers have designed smartphones, laptops, computers, etc. In entertainment, the use of geometry is to find relevance between the distance and the shapes of objects.
In this field, geometry is also used to design the best paintings and express an artist’s ideas. The use of colors, brushes, and different strokes make an excellent artwork.
4. Measuring Orbits And Planetary Motions
Astronomers use geometry to track stars, measure the orbits and the distance between planets and the satellites. It is the best example of the use of geometry in our daily life.
5. Interior Design
As you all know, geometry in designing the home to a beautiful home is the more in this field. With the concept of geometry, designers can easily set new items in an open space.
I hope now you understand the concept of arithmetic and geometry both very clearly. It’s time to see the difference between “arithmetic vs geometric” so that you can easily decide which one is for your further studies or you have to choose some other line.
Top 9 Differences Between Arithmetic VS Geometric That A Student Must Know
|Definition||Arithmetic is a list of numbers that alters a definite quantity of a new term from another preceding term.||Geometric is a sequence of numbers calculated for each new term by multiplying by non-zero and fixed numbers.|
|Calculations||In arithmetic, you can do addition or subtraction.||In geometric, you can do multiplication or division.|
|Identify||It is a constant difference between two successive terms.||It is a standard ratio between two successive terms.|
|Form||Linear form||Exponential form|
|Formula||nth term = a + (n-1)d||nth term = a*r^(n-1)|
|Common parameter||Common difference (d)||Common ratio (r)|
|Example||2, 4, 6, 8, 10||2, 4, 8, 16, 32|
|Adding/Subtracting||Adds/subtracts the common difference||There is no simple operation.|
|There is no simple operation.||Multiplies/divides by the common ratio.|
Whether arithmetic vs geometric, both have different preferences in another field. You must have been to movie theaters to watch movies with your friends and family members. Have you ever noticed the seating arrangements? Usually, the number of seats that are arranged is in the arithmetic sequence.
It means that a sequence that increases or decreases by a constant number is said to be arithmetic. On the other hand, geometry is different. While playing, you use a football or a basketball; you will surely notice that the height at which it bounces tends to decrease every time it hits the ground. It means the sequence in which each term multiplies or divides by the same value from one term to another is in a standard ratio.
Let’s Differentiate Arithmetic VS Geometric With Examples.
Arithmetic – The arithmetic sequence is a list of numbers in which the difference between successive terms is always constant. Suppose, if a is the first member of the series, then it might be written as –
a, a+d, a+2d, a+3d, …. (infinite times)
where, a = the first term
d is the common difference between terms
Example: 2, 4, 6, 8, ….
4, 7, 10, 13, …..
Geometric – A geometric sequence is a set of integers in which each successive phrase is a constant multiple of the previous term. In more technical terms, the progression is considered geometric when we multiply or divide a fixed, non-zero integer infinitely many times. If the sequence’s initial element is r, it may be represented as –
a, ar, ar2, ar3, ar4 …
where a = first term
r is the common ratio between successive terms
Example: 2, 4, 8, 16,…..
5, 25, 125, 625…..
I hope these examples help you in better understanding the concept of “arithmetic vs geometric”. Both have their preferences of solving the problems, you just need to focus on which one is meant for your problem.
What Google Trend Says: Arithmetic VS Geometric
According to google trends, arithmetic has more popularity as compared to geometric. It shows the data for the past five years of all around the world.
In this graph, arithmetic is denoted as Blue and geometric is denoted as Red. It shows both terms growth and falling trend over the past five years. As you can see, the regional interest of people in arithmetic and geometric are also highlighted over here. Both mathematical terms have up and down in this graph, but arithmetic remains on top of geometric.
Arithmetic vs geometric” is an important component of arithmetic, and math makes our lives easier to access. Everybody must know the basics of math to handle the queries in businesses or companies easily. Whether your business is small or large, you can quickly solve your problems better if you know math.
Arithmetic includes the operations of numbers that are addition, subtraction, multi[plications, and division. Arithmetic is the foundation of math and geometry that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids. Both are important, but you must know your interest, whether in arithmetic vs geometric. If you gain interest, then math is not so tricky; otherwise, it,s a nightmare for students to understand.
Q1. Do you prefer arithmetic or geometric addition?
Arithmetic vs geometric sequences is the two most basic types of sequences to work with. The exact value is always added (or subtracted) in an arithmetic sequence from one term to the next.
Q2. How can you know whether something is mathematical or geometric?
Arithmetic sequences are integers computed by subtracting or adding a specified term to or from the preceding term. On the other hand, a geometric sequence is a set of integers in which each new number is obtained by multiplying the preceding number by a fixed, non-zero value.