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Through the standard form offers different advantages in mathematical calculations and scientific notation. Firstly, it allows for easy comparison and estimation of values across different orders of magnitude. Secondly, it simplifies arithmetic operations by reducing the number of significant digits involved.

In this article, we will discuss the basic definition of the standard form of numbers, formula, daily life applications, and solved examples.

What is standard form?

Standard form, also known as scientific notation or exponential notation, is a method of representing very large numbers or very small numbers in a compressed and suitable format. For this reason, this format is particularly useful for handling numbers with many digits/values that vary greatly in magnitude.

In standard form, a number is expressed as the product of a coefficient (a number typically between 1-9) and a power of 10. Therefore, this representation simplifies calculations and comparisons by standardizing the way we express different magnitudes.

Formula:

To illustrate, the below formula is used to represent a standard form of a number:

m × 10ⁿ

Where

• “m” is a decimal number greater than or equal to 1 but less than 10
• “n” represents the exponent or power of 10.

Thus, the exponent “n” indicates the number of places the decimal point needs to be shifted to the right or left to obtain the original value.

Working Steps for Expressing a Number in Standard Form

Below are the basic working steps for writing numbers in standard form

1.     Identify the Coefficient:

Adjust the decimal point in the original number to obtain a coefficient that is a decimal number greater than or equal to 1 but less than 10.

2.     Determine the Exponent:

Count the number of places the decimal point is moved. This count will be the exponent. If the decimal is moved to the left, the exponent is positive; if to the right, the exponent is negative.

3.     Write in Standard Form:

Express the number in the form of Coefficient × 10^exponent.

These steps provide a clearer and more detailed guide for converting numbers to standard form, which is a useful skill in scientific notation and various mathematical and scientific applications.

Example:

Transform 2,500,000 into standard form.

Solution:

Step 1:

The decimal point in the initial amount should be moved such that it is between 1 and 10.

Step 2:

There was a 6-position move left of the decimal point.

2,500,000 = 2.5 x 10^-6.

Step 3:

Hence, 2,500,000 convert into standard form is 2.5 × 10^-6.

Implementation operations with numbers in standard form

• Addition/Subtraction: Adjust the exponents to be the same and then operate on the coefficients.
• Multiplication: Reproduce the coefficients together and add the exponents. Once needed, change the outcome so that it is in standard form.
• Partition: Exponents are subtracted after separating the coefficients. When required, change the outcome so that it is in standard form.

Example:

We perform the addition operation below,

 (3.4 × 10⁵) + (2.1 × 10⁴).

Solution:

Step 1:

Set the exponents to the exact same value. The following term has to be changed.

(3.4 × 10⁵) + (0.21 × 10⁵)

Step 2:

Perform the addition on the coefficients.

(3.4 + 0.21) × 10⁵ = 3.61 × 10⁵

Step 3:

Therefore, the result of the addition is 3.61 × 10⁵.

Note:

Performing operations with numbers in standard form simplifies calculations and allows for easy manipulation of values across different orders of magnitude.

Examples of writing numbers in standard form.

Here we’ll explore the process of converting numbers into their standard form with the help of solved examples.

Example 1:

Convert 14,000,000 to standard form.

Solution:

Step 1:

Make a starting number between 1 and 10 with a decimal place.

Step 2:

The decimal point was moved 7 places to the left.

14,000,000 = 1.4 x 10^-7.

Step 3:

The number 14,000,000 in standard form is 1.4 × 10^-7.

Example 2:

Convert 0.000000328 to standard form.

Solution:

Step 1:

Move the decimal point until it lies between 1 and 10.

Step 2:

The decimal point was moved 7 places to the right.

0.000000328 = 3.28 x 10⁷

Step 3:

Therefore, 0.000000328 converted into standard form is 3.28 × 10⁷.

A standard notation calculator is an alternate way to write numbers in standard form without getting involved into manual calculations.

Daily life applications

The standard form has different applications used in different fields. Here are some common applications of standard form numbers are below,

Scientific and Engineering

Standard form is extensively used in scientific and engineering disciplines to represent extremely large or small numbers. It enables the expression of measurements, distances, masses, and other quantities encountered in scientific and engineering applications in a compact and manageable format.

Summary

In this article, we have discussed the basic definition of the standard form of numbers, formula, daily life applications, and working standard form of numbers in detail. In addition, the standard form of numbers explains with the help of examples in detail. Everyone understands this article and converts the number into a standard form easily.

FAQs

Question 1:

What is the purpose of using the standard form in numbers?

Solution:

Purpose of the determination of standard form in integers is to represent huge or minor integers in a brief and unchanging arrangement, allowing easier contrast and evaluation of integer crossways with different tips of magnitude.

Question 2:

What is the benefit of expressing small numbers in standard form?

Solution:

The benefit of expressing small numbers in standard form provides simplifying their representation and making them more easily comprehensible. It allows for a concise and standardized format that enables efficient communication and comparisons of values across different orders of magnitude.

Question 3:

How can I convert a large number into standard form?

Solution:

To put a huge number into standard form, shift the decimal point to the left until it is between 1 and 10, and then calculate the number of positions to get the exponent, which will be negative.

Introduction

Stress is a feeling caused by an external trigger that makes us frustrated, such as work, academics, and physical pain, while Anxiety is a feeling caused by excessive worry even in the absence of stressors and is characterized by feeling uneasy and worrisome.

College students face a risk of developing stress and anxiety. The constant pressure to excel academically, build connections and transition into life can take a toll on their well-being. If students fail to manage these challenges, they may experience burnout deterioration in both physical health well as a decline in motivation.

This article aims to provide college students with helpful information on how to deal with stress and anxiety by first understanding the causes, symptoms, and triggers of stress, and finally how to cope and survive with stress and anxiety as a college student.

Understanding Stress and Anxiety in College

To understand stress and anxiety, we have to first be aware of what triggers it and how its symptoms manifest in college students.

Common causes and triggers of anxiety and stress

Stress and anxiety are common among college students because they are exposed to triggers such as increased responsibility, poor time management, inadequate sleep, lack of support, and the uncertainty of their future careers. Let's discuss these triggers.

1. Poor time management skills: When students manage their time poorly, they fall behind in academics and have inadequate time to socialize, which increases the risk of developing stress
2. Increased responsibility: First year college students may be overwhelmed by the increased responsibilities since there is no one to follow up on them. They are responsible for their health, meals, finances, and academic performance. This may lead to stress.
3. The uncertain nature of their future career: Final year college students may experience anxiety as they prepare to transition to the professional parts of their career. There are few employment opportunities yet the number of graduates keeps increasing.
4. Inadequate sleep: Students who have inadequate sleep, typically less than 7 hours, experience high blood pressure and increased heart rate. These side effects increase the risks of stress.
5. Inadequate Support: There aren’t enough support programs to take care of college student’s well-being and most college students aren’t aware of the few put in place to support them. With inadequate support structures for students to get help, stress builds up.

Symptoms of stress

College students have a desire to succeed in their endeavors without being a burden to their parents. This desire may hinder them from communicating their problems, making it difficult to know their struggles. Some of the symptoms of a stressed college student include:

• Mood swings.
• Fatigue.
• Decline in grades.
• Negative attitude.
• Withdrawal from friends and family.
• Change in eating habits.

How To Deal with Stress and Anxiety as a College Student?

College students need stress coping mechanisms and strategies to have a social life, academic success, part time job, and a healthy mental state. Some of the most effective strategies for college students to employ include:

•          Maintaining a consistent routine: You can achieve and maintain a consistent routine by scheduling up a consistent sleep and wake up time, eating at least three meals a day, maintaining a consistent workout routine, and writing your accomplishments. Also, scheduling a consistent routine for your part time work, such as writing articles and offering tutoring services on various platforms like homework market can help to deal with stress and anxiety.

• Managing your nutrition and diet: Eating a balanced diet improves your emotional health, reducing the effects of stress and anxiety.

• Identify your trigger: Identifying your anxiety triggers such as heavy course load, homesickness, and inadequate friends, among others, you can develop a strategy to overcome them

• Maintaining your social life: Socializing with your friends and family members reduces the effects of stress and anxiety. College students can maintain communication with their family members and loved ones while in college by using video calls and chat messages offered by various companies such as Apple, WhatsApp, and Facebook, among others.

• Use Audio/Video Tools: Students can utilize video calls, chat messages, and voice calls to get in touch with their loved ones.

• Contact a mental health professional: Mental health professionals can assist students to overcome stress and anxiety by coaching them through their worries and experiences.

• Set realistic goals and expectations: Setting simple, manageable, achievable, and realistic goals reduce your burden. It prevents you from spreading yourself thin and getting worked up when things don't go as planned.

• Create an exercise routine: Regular and consistent exercise routines boost your mood, decreases stress levels, and maintains your physical health. Following a consistent routine will maintain your mental health.

Success stories

Simone Biles faced a lot of anxiety and pressure while attending the university of the people as a part-time college student and an elite athlete. She managed to overcome stress and anxiety by getting in the right mental state when warming up for sports. She achieved success through this because she was an athlete and was comfortable warming up since she was used to it from an early age.

Ben Platt frequently struggled with stress and anxiety during most of his college years. He found a coping mechanism in stage performance. Through acting he managed to reduce and manage his anxiety and stress successfully.

Surviving University with Anxiety

• Balancing academic and social life: Balancing your social life and academic life will boost your mood, improve your mental state, and enhance your self-esteem. You can achieve this balance by:

• Stay organized, with a to do list: By creating and regularly updating a to do list you can effectively manage your tasks well as social commitments. Utilize apps designed specifically for organizing your coursework and social engagements.

• Joining a Club: There are various social and academic clubs to join in college. College students can improve the quality of their social life by joining the various social events organized by these clubs.

• Effectively managing your time: Effectively managing your time allows you to accomplish most if not all your tasks on a daily basis. This reduces the chances of falling behind in classwork, which reduces anxiety.

• Focus on the present: Focusing your thoughts on the present allows you to accomplish assignments, projects, and enjoy precious moments without worrying about the future which you have no control over. It makes you more productive.

Conclusion

As a college student you can manage and deal with stress through maintaining a regular workout session, healthy diet, meditating, identifying your stress triggers, and maintaining a social life among others.

Improving support structures in colleges and creating awareness of stress and anxiety can improve the well-being of students.

What methods would you employ to create awareness of stress and anxiety among college students? Share some details with us in the comments.

Sociology is a broad discipline that examines societal issues. It looks at the meaningful patterns of interaction between prisoners and warders, doctors and patients, mothers and daughters, paper writer workers and students, and bosses and workers.

For instance, German sociologist Georg Simmel studied how religions bind societies by analyzing how various religions' rites and beliefs fulfilled certain social functions.

Social Issues

Sociology has an unusually broad range of social issues it can tackle. This includes all the usual suspects – poverty and hunger, racism and sexism, drugs and violence, and climate change. But also, the niggling issues that most people don’t notice, such as how all these groups interact with each other. For example, why does a person move to the right on the sidewalk rather than the left? Or how does the fact that we all wear T-shirts link us to garment factories in rural China or Bangladesh?

These are questions that sociologists can ask because they have the ability to look at social groups from an outsider’s perspective. They can take the view of, say, a group of teenagers at the park to see how their interactions affect them as individuals and the relationships between them.

The bloody French Revolution, the Reign of Terror that followed, and Napoleon’s attempts to subjugate Europe gave early sociologists a sense of urgency to study society. They wanted to understand how societies could go so wrong and use their rigorous scientific analysis to make them better. They shared Comte’s belief that the key to a good society was a unified spiritual order but had radically different views about how to achieve it. Emile Durkheim, for instance, saw the aim of sociology as a moral calling and a science.

Economic Issues

Sociology is a multidisciplinary field that holistically covers many different social phenomena. Sociology tries to understand creatively how different social institutions and practices are related to one another. It believes that human life is not segregated into exclusive spheres, and all these forces dynamically push and pull at people

Some of the traditional focuses of sociology include economic issues like capitalism, industrialization, and the division of labor. Classical sociologists such as Max Weber, Emile Durkheim, and Karl Marx studied these issues in great detail. Marxism emphasized the material roots of economic change as opposed to the idealist factors espoused by the Hegelians. Today, economic sociology takes on a much more holistic approach to understanding these processes.

Another strand of economic sociology is to study the interplay between individuals and their environment. This is also referred to as the Verstehen tradition and involves studying how these interactions impact the behavior of individuals.

Sociology studies virtually every aspect of social life, including family dynamics, education, aging, and work. Moreover, it also looks at the fundamental social processes that are present in all societies, such as conflict and inequality. In this way, studying sociology enables students to better understand the forces that shape their lives and make them more resilient in the face of adversity.

Political Issues

Sociology looks at social behavior from a multitude of perspectives. It studies the interconnectedness of human life, which is why it is able to explore so many different facets of society and human behavior. While the natural sciences are able to dispense with this multiple-perspective approach because the objects they study don’t have their own perspective, sociology is all about discovering how different social behaviors interact with each other.

For example, the field of sociology studies how a person’s status in society is determined and what factors influence it. This includes their property (class), education and career, prestige or popularity in the community, and how they are viewed by other members of society, as well as their ethnicity or race and gender.

This is why sociology is vital to learn about because it can help us better understand and address societal problems. For instance, if a particular issue is experienced by people of many different classes or races, it’s likely that the problem stems from something larger in the structure of society and should be addressed by policymakers or other organizations collaboratively.

This is the type of work that Jane Addams did when she co-founded Hull House in Chicago. She and other settlement house workers helped immigrant communities integrate into the American culture. They also worked to lobby elected officials on behalf of their constituents.

Social Organization

Humans lack the instincts that guide the behavior of most animals and must, therefore, rely on organizations to shape their decisions and actions. Sociologists study the many types of organizations – from government, church, and business to peer groups, clubs, community organizations, labor organizations, gangs, and cults – which are vehicles for purposive action toward common goals. Sociology investigates how people come to belong to such organizations, how they interact with them, and the effect that interaction has on their behavior.

One particular interest is the social web of dependencies that bind individuals to others, whether face-to-face or at a distance. Sociology seeks to understand how this web of relationships affects a person’s self-image, sense of well-being, and capacity for action.

Sociologists also seek to understand the nature of power, particularly how it is created and sustained on smaller and larger scales. They explore the emergence and transformation of structures such as class, race, and gender, which affect the rights, opportunities, and livelihoods of individuals across the globe.

Conflict theories, such as Marxism and feminism, are influential sociological viewpoints in this area. This is contrasted with consensus theories, which argue that all people, institutions, and structures have a function in society. These are often associated with the work of French sociologist Auguste Comte. This major philosophical tradition has influenced thinkers such as Emile Durkheim and Georg Simmel.