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SHS, , Business Mathematics, Quarter 1,Week 1 – Module 1, Fractions, Decimals, and, Percent, , 1
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Business Mathematics – SHS, Quarter 1, Week 1– Module 1: Changing Fraction to Decimal and Percent and Vice, Versa, , Republic Act 8293, section 176 states that: No copyright shall subsist in any work, of the Government of the Philippines. However, prior approval of the government agency or, office wherein the work is created shall be necessary for exploitation of such work for profit., Such agency or office may, among other things, impose as a condition the payment of, royalties., Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names,, trademarks, etc.) included in this book are owned by their respective copyright holders., Every effort has been exerted to locate and seek permission to use these materials from, their respective copyright owners. The publisher and authors do not represent nor claim, ownership over them., Regional Director: Gilbert T. Sadsad, Assistant Regional Director: Jessie L. Amin, Development Team of the Module, Writer:, , OLIVIA B. BERNARDEZ, ABM Teacher, TNHS, MARISOL BOSEO, TNHS, , Editor:, , Nerissa A. Mortega, HT III, San Lorenzo NHS, Julma B. Cargullo, MT, TNHS, Hilda J. Carlet, MT, TNHS, , Language Editors: Cherry Basilla, TNHS, Desiree Canicula, TNHS, Reviewers: Dioleta B. Borais – EPS, Tabaco City, Jinky Villareal – EPS, Iriga City, Jonjon Monter – Principal, Sagrada HS, Iriga City, Loyd Botor, EPS, RO V, Layout Artist: Rowena B. Benoyo, San Lorenzo NHS, Cover Art: Jed Adra, , 2
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Business Mathematics- SHS, Quarter 1, Week 1- Module 1, , Changing Fraction to Decimal and Percent and Vice Versa, , INTRODUCTION, , People who are engaged in different types of business have to learn, about fractions, decimals, percent, and the four fundamental operations, applied. These terms are commonly used and talked about when capital,, share or stocks are involved. This helps an individual who is engaged in, business to determine or identify his/her profit or loss., , OBJECTIVES, , This module is designed and written for your learning purposes. In, here, you will learn how to express a fraction into another form. To facilitate, computation in business, we usually rewrite fraction as decimal and percent., In likewise manner, a decimal can also be expressed as fraction and percent., Furthermore, a percent can be expressed as fraction and decimal. In, expressing a certain type of number to another type, the value of such, number does not change., The module is divided into three lessons, namely:, •, •, •, , Lesson 1: Changing Fraction to Decimal and Percent, Lesson 2: Changing Decimal to Fraction and Percent, Lesson 3: Changing Percent to Fraction and Decimal, , After going through this module, you are expected to express:, a., b., c., , fractions to decimal and percent forms;, decimals to fraction and percent forms; and, percent to fraction and decimal forms., , VOCABULARY, , Term, , Decimal, , Definition/Description, , a fraction written in a special form whose, denominator is a power of 10 and whose, numerator is expressed by figures placed to, 3
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the right of a decimal point; a Latin word, decimus, meaning tenth, from the root word, decem or 10, Fraction, , a part of a whole written as a ratio between, two numbers separated by a solidus (/) or a, vinculum (_)., , Percent, , Latin adverbial phrase per centum meaning, “by the hundred”, , PRE-TEST, , Let’s check the knowledge that you already have regarding the, lessons in this module. Choose the letter of the best answer. Write the chosen, letter on a separate sheet of paper., 1, , 1. What is 8 in decimal?, A. 0.125, , B. 0.12, , C. 0.11 …, , D. 0.1, , C. 40%, , D. 50%, , 2, , 2. Convert 5 to percent., A. 20%, , B. 25%, , 3. If you rewrite 0.1 in fraction form, what is it?, 2, 1, 1, A. 5, B. 4, C. 5, , D. 10, , 4. What is 12.5 in percent form?, A. 0.125%, B. 1.25%, , D. 1250%, , C. 125%, , 5. What is the equivalent fraction form of 45%?, 45, 9, 5, A. 50, B. 20, C. 9, , 1, , 4, , D. 50, , How was the test? If you got all the answers correctly, congratulations!, You are one step ahead. Now, let’s proceed and learn more…..., , 4
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Lesson 1, , Changing Fraction to Decimal and Percent, A. Changing Fraction to Decimal, In your previous lessons on fractions, you’ve learned that solidus (/) or, a vinculum (_) separates the numerator from the denominator and, indicates division. The denominator is the divisor and the numerator is the, 1, dividend. Meaning to say, when we have 2, we simply divide 1 by 2. For, consistency purposes, if the result is non-terminating, you just compute up, to three decimal places and round off your answer to the nearest, hundredths., Take a look at the following examples:, 4, 1., 5, Solution:, 0.8, 5 4.0, 40, 0, 2., , 5, , 3, Solution:, , 3, , 3., , 1.66 = 1.67, 5.00, 3, 20, 18, 2, , Since in the result, the digit 6,, is repeating, you need not, continue the process to get the, answer; just follow the rules in, rounding off numbers., , 3, 7, Solution:, , Since the division continues,, you just follow what is stated, above. Compute up to three, decimal places and round off, your answer to the nearest, hundredths., , 0.428 = 0.43, 7, , 3.000, , 28, 20, 14, 60, 56, 4, , 5
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B. Changing Fraction to Percent, To change fraction to percent form, first change fraction to its decimal, form (by performing division) and multiply the quotient by 100 or simply move, the decimal point two places to the right and affix the percent sign (%). For, consistency purposes, if the result is a repeating decimal, round your answer, to the nearest hundredths., Let’s use the examples given in the previous page., 1., , 4, 5, Solution:, , 0.8, 5 4.0, 40, 0, 2., , 0.8 0 = 80%, , By moving the decimal point two places to the, 4, , right, 5 is 0.8 in decimal and 80% in percent form., , 5, 3, Solution:, , 3, , 3., , 0.8, , 1.66 = 1.67, 5.00, 3, 20, 18, 2, , 1.67, , 1. 6 7 . = 167%, , 3, 7, Solution:, , 0.428 = 0.43, 7, , 0.43, , 3.000, , 28, 20, 14, 60, 56, 4, , Practice Task 1, , Change the following fractions to decimal., 6, , 0.4 3 . = 43%
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23, , 1., , 100, , 2., , 36, , 3., , 15, , 17, , 4., , 50, , 16, , 5., , 200, , 63, 21, , Practice Task 2, , Change the following fractions to percent., 1., , 65, , 2., , 208, , 72, , 3., , 81, , 60, , 4., , 100, , 24, , 5., , 72, , 18, 52, , Practice Task 3, , Change the following fractions to decimal and percent forms., 1., , 20, 55, , 2., , 35, , 3., , 49, , 24, 45, , 4., , 12, 48, , 5., , 36, 54, , Lesson 2, , Changing Decimal to Fraction and Percent, , A. Changing decimal to fraction, A decimal is a fraction written in a special form whose denominator is, a power of 10 and whose numerator is expressed by figures placed to the, right of the decimal point. In converting a decimal to a fraction, write the, decimal in fraction form with the figures after the decimal point as the, numerator and the denominator in multiples of 10 (10, 100, 1000, etc.), which represents the place value of the last digit. Then, reduce it to lowest, term if possible., Look at the examples below on how to change decimals to fraction:, 1. 0.13 = _________, Solution:, 13, 0.13 = 100, , Since 0.13 is read as “thirteen, hundredths” we write the, denominator 100., , 7
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2. 25.6 = _______, Solution:, 6, 25.6 = 25 10, = 25, , Since 25.6 is read as “twenty-five, and six tenths”, and “and” denotes, a whole number and a proper, fraction, you have to write 25 as a, whole number, write 6 as the, numerator and 10 as the, denominator, then reduce the, answer to its lowest term., , 6÷2, 10÷2, , 3, , = 25 5, , 3. 0.12342 = _________, Solution:, 12342, 0.12342 = 100,000, , You count the number of digits after the, decimal point. The number of digits in the, numerator becomes the number of zeroes, in the denominator. Then, reduce the, answer to lowest term., , 12342÷2, , = 100,000÷2, =, B. Changing decimal to percent, , To convert decimal to percent, multiply the given decimal number by, 100 or simply move the decimal point two places to the right and affix the, percent sign (%)., Examples:, 1. 0.75 = _____ %, 0.75(100) = 75%, Solution:, , 2. 1.4785 = _____%, 1.4785 (100) = 147.85%, Solution:, 3. 35.6 = ______%, 35.6(100) = 3560%, Solution:, , 8
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Practice Task 1, , Change the following decimal to fraction., 1. 0.005, 2. 0.35, 3. 1.75, 4. 18.5, , 5. 33.56, , Practice Task 2, , Change the following decimal to percent., 1. 4.96, 2. 10.35, 3. 11.75, 4. 101.5, , 5. 67.25, , Practice Task 3, , Change the following decimal to fraction then to percent., 1. 10.05, 2. 0.85, 3. 7.125, 4. 88.001, 5. 11.44, , Lesson 3, , Changing Percent to Fraction and Decimal, A. Changing percent to fraction, To convert percent to fraction, we first change it to decimal by dividing, it by 100, then change the decimal to fraction using the place value of the, last digit as denominator, and reduce it to lowest term., Look at the examples below:, 1. 18% = _______, Solution:, , 9
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2. 180.5% = ________, Solution:, 805, 180.5% = 1.805 = 1 1000, 805÷5, , = 1 1000÷5, 161, , = 1 200, 3. 0.375% = ________, Solution:, 0.375% = 0.00375 =, =, =, , 375, 100,000, 375÷125, 100,000÷125, 3, 800, , B. Changing percent to decimal, To convert percent to decimal, divide the given percent by 100 or, simply move the decimal point two places to the left and drop the percent, sign (%). This is the opposite of converting decimal to percent., Study the following examples:, 1. 0.25% = __________, = 0.25/100 = 0.0025, Solution:, 2. 47.8% = __________, = 47.8/100 = 0.478, Solution:, , 3. 105% = _________, = 105/100 = 1.05, Solution:, , 10, , You can add, zero/es to the left in, moving the decimal, point., , In this example, the, decimal point is after the, digit 5. So when you, move the decimal point, to the left, the answer is, 1.05.
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Practice Task 1, , Change the following percent to decimal, then to fraction., 1.0.05%, 2. 53.5%, 3. 1750%, 4. 7.95%, 5. 356.5%, , Practice Task 2, , Change the following percent to decimal, then to fraction., 1. 35%, 2. 37.55%, 3. 605%, 4. 401%, 5. 89.750%, , Practice Task 3, , Change the following percent to decimal, then to fraction., 1. 556%, 2. 99%, 3. 291.1%, 4. 101.1% 5. 75.05%, , POST-TEST, , Let’s check your knowledge gained from studying the lessons in this, module. Choose the letter of the best answer. Write the chosen letter on a, separate sheet of paper., 1, , 1. What is 4 in decimal?, A., 0.25, B. 0.40, 3, 2. Convert 6 to percent., , C. 1. 4, , A., 20%, B. 25%, C. 40%, 3. If you rewrite 0.6 in fraction form, what is it?, 2, 3, 5, A., B. 5, C. 6, 5, , D. 4.1, D. 50%, 6, , D. 5, , 4. What is 0.75 in percent form?, A., 750%, B. 75%, C. 7.5%, D. 0.75%, 5. What is the equivalent fraction form of 150%?, 3, 1, 3, 4, A. 20, B. 3, C. 2, D. 3, , 11
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ASSIGNMENT, Rewrite the following terms in two other different ways., , 5, , 1., , 2.78.5%, , 20, , 3. 0.014, , ANSWER KEYS, , PRE-TEST, 1. A, , 2. C, , 3. D, , Practice Task 1, Decimal form, 1. 0.23, 2. 0.625, 3. 0.56, , 4. D, , 5. B, , Percent Form, 23%, 62.5%, 56%, , Practice Task 2, Percent form, 1. 0.5%, , Fraction Form, 1, 200, 7, , 2. 35%, , 20, 3, , 1 4 𝑜𝑟, , 3. 175%, Practice Task 3, Decimal form, 1. 0.0005, , 7, 4, , Fraction Form, 1, 2000, 107, , 2. 0.535, , 200, , 11, , 17 20, , 3. 17.55, POST-TEST, 1. A, , 2. D, , 3. B, , 4. B, , 12, , 5. C
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REFERENCES, , Lopez, B. R. C. Business Math Textbook for SHS, 2016. Vibal Group Inc., pp., 32-34, Lopez-Mariano, N.D. Business Mathematics 1st edition 2016,, Rex Bookstore, pp.39-47, Perez, Marjoseph H. et. al, 21st Century Mathletes Textbook for Grade 6,, pp.70-77, , 13
