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Comprehensive Notes for Business Mathematics - ABM 1st Semester

13

0

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

12/16/2025

Business Math

Business Mathematics - 1st Sem

473

โ€ข

Dec 16, 2025

โ€ข

12 pages

Comprehensive Notes for Business Mathematics - ABM 1st Semester

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

@samantha.badiola_

Ever wondered how to deal with parts of a whole,... Show more

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BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

What Are Fractions?

Think about eating 2 slices from an 8-slice pizza โ€“ you've just experienced a fraction! A fraction represents part of something that's been divided into equal pieces.

Fractions have two main parts: the numerator (top number) shows how many parts you have, while the denominator (bottom number) shows the total number of equal parts. So 2/8 means you have 2 parts out of 8 total parts.

There are three types of fractions you'll encounter. Proper fractions have smaller numerators than denominators like3/5like 3/5. Improper fractions have larger numerators like7/4like 7/4. Mixed numbers combine whole numbers with fractions like21/3like 2 1/3.

Quick Tip: Remember that all parts in a fraction must be equal in size โ€“ you can't have one huge pizza slice and seven tiny ones!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mathematical Operations with Fractions

Adding fractions is actually pretty straightforward once you get the hang of it! When fractions have the same denominator, just add the numerators and keep the denominator unchanged. For example: 2/8 + 3/8 = 5/8.

Things get trickier with different denominators. You'll need to find the Least Common Multiple (LCM) of the denominators first. Then convert both fractions to have this common denominator before adding. Like adding 2/5 + 3/4: find LCM of 20, convert to 8/20 + 15/20 = 23/20.

Subtracting fractions follows the exact same rules as addition โ€“ just subtract instead of add! Multiplying is actually easier: multiply numerator ร— numerator and denominator ร— denominator. For division, flip the second fraction upside down and multiply instead.

Remember: Converting fractions to have common denominators is like making sure you're comparing apples to apples!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Ratios and Proportions

A ratio compares two quantities by division and shows their relationship. You can write ratios using colons (3:5), fractions (3/5), or words ("3 to 5"). The first number is the antecedent, and the second is the consequent.

Proportions occur when two ratios are equal, like 3:5 :: 15:25. This creates a powerful tool for solving problems because the product of extremes equals the product of means. In other words, if a:b :: c:d, then a ร— d = b ร— c.

Understanding the difference helps in real situations. Ratios compare quantities (like comparing test scores), while proportions help solve for unknown values (like figuring out ingredient amounts when doubling a recipe).

Pro Tip: Use the cross-multiplication rule to quickly check if two ratios form a proportion!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Introduction to Commercial Math

Commercial math is all about the math you actually use in everyday life! Whether you're calculating the best deal at a store, figuring out tips, or managing your allowance, these skills are super practical.

Think about real scenarios: your friend needs to find the cost of one notebook when 12 cost โ‚ฑ200, or you want to compare a 25% discount versus a free gift offer. These situations require understanding percentages, unitary method, and profit and loss concepts.

Key topics in commercial math include money management, calculating simple and compound interest, understanding discounts and taxes, and analyzing profit and loss. These aren't just school subjects โ€“ they're life skills that'll help you make smart financial decisions.

Real Talk: Mastering these concepts now means you'll never get ripped off during shopping or confused about loan calculations later!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Money, Percentages, and Unitary Method

Money is the foundation of commercial math โ€“ understanding denominations and making change are basic but essential skills. Whether dealing with dollars, rupees, or pesos, the principles remain the same.

Percentages represent parts out of 100 and are everywhere in daily life! When you see "30% off" or "scored 85%," you're dealing with percentages. To calculate: 30% of 750 = (30/100) ร— 750 = 225. The symbol % literally means "out of 100."

The unitary method helps find "per unit value" โ€“ super useful for comparing prices or calculating quantities. If 4 lemons cost 20,then1lemoncosts20, then 1 lemon costs 5, so 10 lemons cost $50. First find the unit value, then multiply for your answer.

Money Smart: Always use the unitary method to compare prices โ€“ it reveals the best deals instantly!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Profit, Loss, and Interest Calculations

Profit and loss drive business decisions everywhere! Profit happens when selling price > cost price, while loss occurs when cost price > selling price. These simple formulas help determine if a business deal is worth it.

Simple interest is straightforward: SI = (P ร— R ร— T)/100, where P is principal, R is rate, and T is time. If you lend โ‚ฑ1000 at 10% for 2 years, you'll earn โ‚ฑ200 interest. Banks often use this for basic calculations.

Compound interest is more complex but powerful โ€“ you earn interest on your interest! The formula CI = P1+R/1001 + R/100^T - P shows how money grows exponentially over time. This is why starting to save early makes such a huge difference.

Financial Wisdom: Compound interest is your best friend when saving, but your worst enemy when borrowing!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Discounts and Taxes

Discounts reduce prices and are calculated as: Discount = Marked Price - Selling Price. The discount percentage = Discount/MarkedPriceDiscount/Marked Price ร— 100. Understanding this helps you evaluate whether "50% off" is really better than "buy one, get one free."

Taxes are fees the government adds to purchases for public welfare. If chocolates cost โ‚ฑ50 with 10% service tax, your total bill becomes โ‚ฑ50 + โ‚ฑ5 = โ‚ฑ55. Always factor taxes into your budget planning.

These calculations help you become a smarter consumer. You'll know the true cost of purchases and can compare deals accurately. Whether it's GST, income tax, or service tax, the mathematical principles stay consistent.

Shopping Hack: Always calculate the final price including taxes before deciding if a deal is worth it!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Data Handling and Graphs

Data handling is about collecting, organizing, and presenting information to make smart decisions. Everything around you generates data โ€“ from test scores to weather patterns to social media likes.

Bar graphs use rectangular bars to compare different categories, making it easy to see which values are larger or smaller. Line graphs show changes over time, perfect for tracking trends like your grades throughout the semester.

Pictographs use pictures and symbols to represent data โ€“ they're simple but effective for showing information visually. Think of them as the emoji version of data presentation!

Data Detective: The right graph type makes complex information instantly understandable โ€“ choose wisely!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Advanced Data Visualization

Pie charts show how parts make up a whole using circular sectors โ€“ perfect for displaying percentages or proportions. If 360 students were surveyed about favorite fruits, each degree represents one student's preference.

Scatter plots reveal relationships between two variables by plotting points and drawing trend lines. They're great for seeing if there's a connection between things like study time and test scores.

Each graph type serves different purposes. Use bar graphs for comparing categories, line graphs for trends over time, pie charts for showing parts of a whole, and scatter plots for finding relationships between variables.

Visualization Power: The right graph can reveal patterns that aren't obvious in raw numbers โ€“ data becomes your superpower!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Gross vs Net Income

Understanding gross vs net income is crucial for financial literacy. Gross income is your total earnings before any deductions โ€“ salary, allowances, bonuses, everything combined.

Net income is what you actually take home after taxes, insurance, and other deductions are removed. If you earn โ‚ฑ6,500 gross but pay โ‚ฑ1,000 in taxes and deductions, your net income is โ‚ฑ5,500.

For companies, gross income = Revenue - Cost of Goods Sold (COGS). This shows profit before operating expenses. Understanding both personal and business income calculations helps you make informed financial decisions.

Reality Check: Always budget based on net income, not gross โ€“ that's the money you actually have to spend!



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Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

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Stefan S

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

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I think itโ€™s very much worth it and youโ€™ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still donโ€™t get it!!! In the end I think itโ€™s worth it ๐Ÿ˜Š๐Ÿ‘ โš ๏ธAlso DID I MENTION ITS FREEE YOU DONโ€™T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLYโ—๏ธโ—๏ธโš ๏ธ

Thomas R

iOS user

Knowunity is the BEST app Iโ€™ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help๐Ÿค๐Ÿค

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.๐Ÿ˜‹๐Ÿฉท๐ŸŽ€

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as Iโ€™ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think itโ€™s very much worth it and youโ€™ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still donโ€™t get it!!! In the end I think itโ€™s worth it ๐Ÿ˜Š๐Ÿ‘ โš ๏ธAlso DID I MENTION ITS FREEE YOU DONโ€™T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLYโ—๏ธโ—๏ธโš ๏ธ

Thomas R

iOS user

Knowunity is the BEST app Iโ€™ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help๐Ÿค๐Ÿค

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.๐Ÿ˜‹๐Ÿฉท๐ŸŽ€

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as Iโ€™ve seen! Geometry too!

Paul T

iOS user

ย 

Business Math

โ€ข

473

โ€ข

Dec 16, 2025

โ€ข

12 pages

Comprehensive Notes for Business Mathematics - ABM 1st Semester

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

@samantha.badiola_

Ever wondered how to deal with parts of a whole, compare different quantities, or calculate your money matters? Business mathematics covers all the essential math skills you'll need in real life โ€“ from understanding fractions and ratios to handling money,... Show more

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

What Are Fractions?

Think about eating 2 slices from an 8-slice pizza โ€“ you've just experienced a fraction! A fraction represents part of something that's been divided into equal pieces.

Fractions have two main parts: the numerator (top number) shows how many parts you have, while the denominator (bottom number) shows the total number of equal parts. So 2/8 means you have 2 parts out of 8 total parts.

There are three types of fractions you'll encounter. Proper fractions have smaller numerators than denominators like3/5like 3/5. Improper fractions have larger numerators like7/4like 7/4. Mixed numbers combine whole numbers with fractions like21/3like 2 1/3.

Quick Tip: Remember that all parts in a fraction must be equal in size โ€“ you can't have one huge pizza slice and seven tiny ones!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

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By signing up you accept Terms of Service and Privacy Policy

Mathematical Operations with Fractions

Adding fractions is actually pretty straightforward once you get the hang of it! When fractions have the same denominator, just add the numerators and keep the denominator unchanged. For example: 2/8 + 3/8 = 5/8.

Things get trickier with different denominators. You'll need to find the Least Common Multiple (LCM) of the denominators first. Then convert both fractions to have this common denominator before adding. Like adding 2/5 + 3/4: find LCM of 20, convert to 8/20 + 15/20 = 23/20.

Subtracting fractions follows the exact same rules as addition โ€“ just subtract instead of add! Multiplying is actually easier: multiply numerator ร— numerator and denominator ร— denominator. For division, flip the second fraction upside down and multiply instead.

Remember: Converting fractions to have common denominators is like making sure you're comparing apples to apples!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Ratios and Proportions

A ratio compares two quantities by division and shows their relationship. You can write ratios using colons (3:5), fractions (3/5), or words ("3 to 5"). The first number is the antecedent, and the second is the consequent.

Proportions occur when two ratios are equal, like 3:5 :: 15:25. This creates a powerful tool for solving problems because the product of extremes equals the product of means. In other words, if a:b :: c:d, then a ร— d = b ร— c.

Understanding the difference helps in real situations. Ratios compare quantities (like comparing test scores), while proportions help solve for unknown values (like figuring out ingredient amounts when doubling a recipe).

Pro Tip: Use the cross-multiplication rule to quickly check if two ratios form a proportion!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Introduction to Commercial Math

Commercial math is all about the math you actually use in everyday life! Whether you're calculating the best deal at a store, figuring out tips, or managing your allowance, these skills are super practical.

Think about real scenarios: your friend needs to find the cost of one notebook when 12 cost โ‚ฑ200, or you want to compare a 25% discount versus a free gift offer. These situations require understanding percentages, unitary method, and profit and loss concepts.

Key topics in commercial math include money management, calculating simple and compound interest, understanding discounts and taxes, and analyzing profit and loss. These aren't just school subjects โ€“ they're life skills that'll help you make smart financial decisions.

Real Talk: Mastering these concepts now means you'll never get ripped off during shopping or confused about loan calculations later!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Money, Percentages, and Unitary Method

Money is the foundation of commercial math โ€“ understanding denominations and making change are basic but essential skills. Whether dealing with dollars, rupees, or pesos, the principles remain the same.

Percentages represent parts out of 100 and are everywhere in daily life! When you see "30% off" or "scored 85%," you're dealing with percentages. To calculate: 30% of 750 = (30/100) ร— 750 = 225. The symbol % literally means "out of 100."

The unitary method helps find "per unit value" โ€“ super useful for comparing prices or calculating quantities. If 4 lemons cost 20,then1lemoncosts20, then 1 lemon costs 5, so 10 lemons cost $50. First find the unit value, then multiply for your answer.

Money Smart: Always use the unitary method to compare prices โ€“ it reveals the best deals instantly!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Profit, Loss, and Interest Calculations

Profit and loss drive business decisions everywhere! Profit happens when selling price > cost price, while loss occurs when cost price > selling price. These simple formulas help determine if a business deal is worth it.

Simple interest is straightforward: SI = (P ร— R ร— T)/100, where P is principal, R is rate, and T is time. If you lend โ‚ฑ1000 at 10% for 2 years, you'll earn โ‚ฑ200 interest. Banks often use this for basic calculations.

Compound interest is more complex but powerful โ€“ you earn interest on your interest! The formula CI = P1+R/1001 + R/100^T - P shows how money grows exponentially over time. This is why starting to save early makes such a huge difference.

Financial Wisdom: Compound interest is your best friend when saving, but your worst enemy when borrowing!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Discounts and Taxes

Discounts reduce prices and are calculated as: Discount = Marked Price - Selling Price. The discount percentage = Discount/MarkedPriceDiscount/Marked Price ร— 100. Understanding this helps you evaluate whether "50% off" is really better than "buy one, get one free."

Taxes are fees the government adds to purchases for public welfare. If chocolates cost โ‚ฑ50 with 10% service tax, your total bill becomes โ‚ฑ50 + โ‚ฑ5 = โ‚ฑ55. Always factor taxes into your budget planning.

These calculations help you become a smarter consumer. You'll know the true cost of purchases and can compare deals accurately. Whether it's GST, income tax, or service tax, the mathematical principles stay consistent.

Shopping Hack: Always calculate the final price including taxes before deciding if a deal is worth it!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Data Handling and Graphs

Data handling is about collecting, organizing, and presenting information to make smart decisions. Everything around you generates data โ€“ from test scores to weather patterns to social media likes.

Bar graphs use rectangular bars to compare different categories, making it easy to see which values are larger or smaller. Line graphs show changes over time, perfect for tracking trends like your grades throughout the semester.

Pictographs use pictures and symbols to represent data โ€“ they're simple but effective for showing information visually. Think of them as the emoji version of data presentation!

Data Detective: The right graph type makes complex information instantly understandable โ€“ choose wisely!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Advanced Data Visualization

Pie charts show how parts make up a whole using circular sectors โ€“ perfect for displaying percentages or proportions. If 360 students were surveyed about favorite fruits, each degree represents one student's preference.

Scatter plots reveal relationships between two variables by plotting points and drawing trend lines. They're great for seeing if there's a connection between things like study time and test scores.

Each graph type serves different purposes. Use bar graphs for comparing categories, line graphs for trends over time, pie charts for showing parts of a whole, and scatter plots for finding relationships between variables.

Visualization Power: The right graph can reveal patterns that aren't obvious in raw numbers โ€“ data becomes your superpower!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Gross vs Net Income

Understanding gross vs net income is crucial for financial literacy. Gross income is your total earnings before any deductions โ€“ salary, allowances, bonuses, everything combined.

Net income is what you actually take home after taxes, insurance, and other deductions are removed. If you earn โ‚ฑ6,500 gross but pay โ‚ฑ1,000 in taxes and deductions, your net income is โ‚ฑ5,500.

For companies, gross income = Revenue - Cost of Goods Sold (COGS). This shows profit before operating expenses. Understanding both personal and business income calculations helps you make informed financial decisions.

Reality Check: Always budget based on net income, not gross โ€“ that's the money you actually have to spend!

We thought youโ€™d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

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Students love us โ€” and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think itโ€™s very much worth it and youโ€™ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still donโ€™t get it!!! In the end I think itโ€™s worth it ๐Ÿ˜Š๐Ÿ‘ โš ๏ธAlso DID I MENTION ITS FREEE YOU DONโ€™T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLYโ—๏ธโ—๏ธโš ๏ธ

Thomas R

iOS user

Knowunity is the BEST app Iโ€™ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help๐Ÿค๐Ÿค

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.๐Ÿ˜‹๐Ÿฉท๐ŸŽ€

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as Iโ€™ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think itโ€™s very much worth it and youโ€™ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still donโ€™t get it!!! In the end I think itโ€™s worth it ๐Ÿ˜Š๐Ÿ‘ โš ๏ธAlso DID I MENTION ITS FREEE YOU DONโ€™T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLYโ—๏ธโ—๏ธโš ๏ธ

Thomas R

iOS user

Knowunity is the BEST app Iโ€™ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help๐Ÿค๐Ÿค

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.๐Ÿ˜‹๐Ÿฉท๐ŸŽ€

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as Iโ€™ve seen! Geometry too!

Paul T

iOS user