Business Math module, Lecture notes of Business

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PHILIPPINE TECHNOLOGICAL AND MARINE SCIENCES

PRK. MADANIHON, BALANGASAN DISTRICT, PAGADIAN CITY

Business

Mathematics

Module 1

Fractions, Decimals, and

Percentage

DECIMAL DENOMINATOR FRACTION NUMERATOR PERCENTAGE What I Need to Know This module was written for you to accomplish at home. It was carefully designed so that you can work at your own pace and allow self-discovery of the concept through activities that you will perform. Activities were also selected to allow independent learning which also aims to develop students’ reading comprehension skills through understanding written texts. After going through the module, you are expected to:

1. Express: a. fractions to decimals and percent forms and vice versa
2. Give real-life situation to illustrate fractions, decimals and percent
3. Solve problems involving fractions, decimals and percent. What I Know I. Fill in the blanks. Instructions: Identify the following terms. Choose the answers from the box below.
4. A numerical quantity that is not a whole number.
5. A rate, number, or amount in each hundred.
6. Relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.
   4. The number above the line in a common fraction.
   5. The number below the line in a common fraction; a divisor.

SOLUTION: 0.

Hence 3 = 0.375. 8 A mixed number can be changed to a decimal by first changing it to an improper fraction and then dividing the numerator by the denominator. (Bluman, A., 2006) 7 EXAMPLE: Change 11 to a decimal. SOLUTION: 0_._ 6363 11 7_._ 0000 66 40 33 70 66 40 33 7 REPEATING DECIMAL or recurring decimal is decimal representation of a number whose digits are periodic and infinitely repeated portion is Hence, 7 = 0.6363... 11 The repeating decimal can be written as 0.

VINCULUM

a horizontal line drawn over a group of terms in a mathematical expression to indicate that they are to be operated on as a single entity by the preceding or following operator.

Independent Activity 1: Exploring Fractions changed into Decimals When fraction is changed into decimals, like ice turned into water, it changes its form but does not change its value. Change each of the following fractions to a decimal:

7 8

2. (^5) 6 13 20

12

5. 5 2 3 Independent Assessment 1: Paper Folding activity for changing fraction to percent: Materials needed: pencil, ruler, and paper. 1.) Fold a line on your paper from one side of the paper to the other. Use a ruler and pencil to draw in the line. 2.) Fold the line on top of itself so that the fold contains the given point. Unfold the paper and draw a line through the crease with a ruler and pencil. Guide Question: 1.) After folding the paper into half, what do you notice? Can you get how many percent can be seen if the paper is folded? 2.) Message a Friend. Compare your answer with him/her. Did they get the same answer?

EXAMPLE: Find 60% of 90. SOLUTION: Change the percent to a fraction and multiply: Independent Assessment 2: Answer the following: (^) Change the decimal into fraction. Check its place value. Result: Hundredths, 60/

1. A salesperson sold a chair for P680.00 and a Pillow for P200.00. If the commission rate is 12.5%, find the person’s commission. A. P 90.00 B. P 85. C. P 25.00 D. P 110.
2. A person bought a secondhand car for P87,000 and made a 15% down payment. How much was the down payment? A. P 6, 430.00 B. P13, 050. C. P 1, 305.00 D. P 643.
3. Department Store employs 125 people and must hire an additional 20% for the holiday season. What is the total number of employees needed for the holiday season? A. 20 B. 25 C. 15 D. 10
4. A suit that is normally sold for P16,750 is on sale at 12% off. How much will be saved by purchasing the suit while it is on sale? A. P12,000.00 B. P14,740. C. P12 D. P2,010.
5. The market price of a share of stock one year ago was P50. Since then, the market price has increased by 8%. Find the increase in the market place. A. P4.00 B. P C. P8.00 D. P What I Have Learned Definition of terms Fraction simply tells us how many parts of a whole we have. It is composed of numerator and denominator. Numerator is the upper portion of the fraction. Denominator is the lower portion of the fraction. Vinculum a horizontal line drawn over a group of terms in a mathematical expression to indicate that they are to be operated on as a single entity by the preceding or following operator. Change this in decimal by moving the decimal point twice going to the right. Result:. (^60) × 90 = 5,400 (^) or 54. 100 1 100 All whole numbers has invisible denominator of 1

Terminating Decimal are those numbers which come to an end after few repetitions after decimal point. Repeating Decimal or recurring decimal is decimal representation of a number whose digits are periodic and infinitely repeated portion is not zero. To change a fraction to a decimal, divide the numerator by the denominator. A mixed number can be changed to a decimal by first changing it to an improper fraction and then dividing the numerator by the denominator. To change a fraction to a percent, change the fraction to a decimal and then move the decimal two places to the right and affix the percent sign. (Bluman, A., 2006) What I Need to Reflect How do you and your family cope up with the financial crisis that we are encountering while we are trying to overcome the pandemic? Like fractions, you can plan and divide your available resources in order for you to cope up with the financial crisis you are encountering. Prioritize the needs of the family and disregard for the mean time the wants. You’ll be surprised that what you have is enough for everybody. Even the word of God tells us to believe that what we have will always be enough or more than what we imagine because He will never leave us alone. In the parable of fishes and loaves, we can see that in time of hunger; what the people had will multiply according to the will of God because of their faith. What I Can Do Great Ideas! Meal planning is one way to divide your available food resources at home. Check your kitchen cabinets, refrigerator or anything alike where you store your foods. Stretch your food resources into 1 week meal plan. Remember that in a day you have breakfast, lunch and dinner. If you are taking snacks, you may also put it in your meal plan. Show it to your mother/father/guardian if what you have created is feasible. Good luck 

Name: Grade Level: Section: Score: Teacher: School:

Worksheet Week 1

Objectives: To be able to express fractions to decimals and percent forms and

vice versa

Learning Content: Fractions, Decimals and Percentage

Worksheet Activity 1

I. Direction: Convert the fraction to a decimal.

1. 1 6

12

3. 2
4. 3 1000 1 2

8 II. Direction: Convert each to percent.

1. (^1) 7
2. 4 5

6

4. 2 2 7
5. 5 6

Worksheet Activity 2

Answer the following questions.

1. The sales tax on a television set is P30.10. Find the cost of the television set if the tax rate is 7%.
2. There are 40 students enrolled in Business Math 101. If 15% of the students were absent on a certain day, how many were absent?
3. An instructor announced that 25% of his students received an A on the last test. If 8 students received an A, how many students took the test?
4. A business office bought a used copy machine for P36,000, which was 75% of the original price. What was the original price of the copier?
5. A suit that is normally sold for P16,750 is on sale at 12% off. How much will be saved by purchasing the suit while it on sale?

Answer Key