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Decimals UEI College  © 2009 Cengage Learning. All rights reserved. CHAPTER  3
PERFORMANCE OBJECTIVES <ul><li>Section I Understanding Decimal Numbers </li></ul><ul><li>3-1: Reading and writing decimal ...
Understanding Decimal Numbers  (Page 68) <ul><li>Decimal numbers, or decimals </li></ul><ul><ul><li>Amounts less than whol...
Exhibit 3-1  Decimal Numbers Place Value Chart (Page 69) © 2009 Cengage Learning. All rights reserved. 3–
Reading and Writing Decimals <ul><li>Step 1: Read or write the decimal part as if it were a whole number </li></ul><ul><li...
Writing Decimals Example (Page 69) <ul><li>Write the following decimal numbers in numerical form: </li></ul><ul><ul><li>.2...
Rounding Decimal Numbers  to a Specified Place Value (Page 71) © 2009 Cengage Learning. All rights reserved. 3–
Rounding Decimal Numbers Example <ul><li>Round the following numbers to the place underlined: </li></ul><ul><li>.0 8 3 </l...
Adding and Subtracting Decimals © 2009 Cengage Learning. All rights reserved. 3–
Adding Decimal Numbers (Page 74) © 2009 Cengage Learning. All rights reserved. 3– 241.89 + 11.9 + .0344  241.8900 11.9000 ...
Subtracting Decimal Numbers (Page 74)  © 2009 Cengage Learning. All rights reserved. 3– 65.987–15.9873 65.9870 -15.9873 49...
Multiplying Decimals (Page 75) © 2009 Cengage Learning. All rights reserved. 3–
Multiplying Decimals © 2009 Cengage Learning. All rights reserved. 3–
Multiplication Shortcut (Page 75) <ul><li>Whenever you are multiplying a decimal by a power of 10, such as 10, 100, 1,000,...
Dividing Decimals (Page  76) © 2009 Cengage Learning. All rights reserved. 3–
PART II © 2009 Cengage Learning. All rights reserved. 3–
Dividing Decimals (cont’d) © 2009 Cengage Learning. All rights reserved. 3–
Dividing Decimals Examples © 2009 Cengage Learning. All rights reserved. 3–
Division Shortcut (Page 77) <ul><li>Whenever you divide a decimal by a power of 10, such as 10, 100, 1,000, 10,000, etc., ...
Converting Decimals to Fractions  (Page 83) © 2009 Cengage Learning. All rights reserved. 3–
Converting Fractions to Decimals  (Page 84) © 2009 Cengage Learning. All rights reserved. 3–
Chapter Review Problem 1 <ul><li>Marlene’s Rebollar Monthly overtime was 26 hours.  What was the average number of overtim...
Chapter Review Problem 2 <ul><li>Overtime costs the company $15.50 per hour. </li></ul><ul><li>If total Juanita Del Cid ov...
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Chapter 3 part1

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Transcript of "Chapter 3 part1"

  1. 1. Decimals UEI College © 2009 Cengage Learning. All rights reserved. CHAPTER 3
  2. 2. PERFORMANCE OBJECTIVES <ul><li>Section I Understanding Decimal Numbers </li></ul><ul><li>3-1: Reading and writing decimal numbers in numerical and word form </li></ul><ul><li>3-2: Rounding decimal numbers to a specified place value </li></ul><ul><li>Section II Decimal Numbers and the Fundamental Processes </li></ul><ul><li>3-3: Adding and subtracting decimals </li></ul><ul><li>3-4: Multiplying decimals </li></ul><ul><li>3-5: Dividing decimals </li></ul><ul><li>Section III Conversion of Decimals to Fractions and Fractions to Decimals </li></ul><ul><li>3-6: Converting decimals to fractions </li></ul><ul><li>3-7: Converting fractions to decimals </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  3. 3. Understanding Decimal Numbers (Page 68) <ul><li>Decimal numbers, or decimals </li></ul><ul><ul><li>Amounts less than whole, or less than one. </li></ul></ul><ul><ul><li>For example, .44 is a decimal number. </li></ul></ul><ul><li>Decimal point </li></ul><ul><ul><li>A dot written in a decimal number to indicate where the place values change from whole numbers to decimal numbers. </li></ul></ul><ul><li>Mixed decimals </li></ul><ul><ul><li>Decimals written in conjunction with whole numbers. </li></ul></ul><ul><ul><li>For example, 2.44 is a mixed decimal. </li></ul></ul>© 2009 Cengage Learning. All rights reserved. 3–
  4. 4. Exhibit 3-1 Decimal Numbers Place Value Chart (Page 69) © 2009 Cengage Learning. All rights reserved. 3–
  5. 5. Reading and Writing Decimals <ul><li>Step 1: Read or write the decimal part as if it were a whole number </li></ul><ul><li>Step 2: Name the place value of the last digit on the right </li></ul><ul><li>Note: The word “and” is used to represent the decimal point. </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  6. 6. Writing Decimals Example (Page 69) <ul><li>Write the following decimal numbers in numerical form: </li></ul><ul><ul><li>.25 </li></ul></ul><ul><ul><ul><li>twenty-five hundredths </li></ul></ul></ul><ul><ul><li>.00034 </li></ul></ul><ul><ul><ul><li>thirty-four hundred thousandths </li></ul></ul></ul><ul><ul><li>15.901 </li></ul></ul><ul><ul><ul><li>fifteen and nine hundred one thousandths </li></ul></ul></ul>© 2009 Cengage Learning. All rights reserved. 3–
  7. 7. Rounding Decimal Numbers to a Specified Place Value (Page 71) © 2009 Cengage Learning. All rights reserved. 3–
  8. 8. Rounding Decimal Numbers Example <ul><li>Round the following numbers to the place underlined: </li></ul><ul><li>.0 8 3 </li></ul><ul><li>.08 </li></ul><ul><li>.14 5 78 </li></ul><ul><li>.146 </li></ul><ul><li>234. 3 627 </li></ul><ul><li>234.4 </li></ul><ul><li>.777 7 7 </li></ul><ul><li>.7778 </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  9. 9. Adding and Subtracting Decimals © 2009 Cengage Learning. All rights reserved. 3–
  10. 10. Adding Decimal Numbers (Page 74) © 2009 Cengage Learning. All rights reserved. 3– 241.89 + 11.9 + .0344 241.8900 11.9000 + .0344 253.8244 .09 + .099 + .0999 .09 .099 +.0999 .2889
  11. 11. Subtracting Decimal Numbers (Page 74) © 2009 Cengage Learning. All rights reserved. 3– 65.987–15.9873 65.9870 -15.9873 49.9997 1.004-.35 1.004 -.350 .654
  12. 12. Multiplying Decimals (Page 75) © 2009 Cengage Learning. All rights reserved. 3–
  13. 13. Multiplying Decimals © 2009 Cengage Learning. All rights reserved. 3–
  14. 14. Multiplication Shortcut (Page 75) <ul><li>Whenever you are multiplying a decimal by a power of 10, such as 10, 100, 1,000, 10,000, etc., count the number of zeros in the multiplier and move the decimal point in the multiplicand the same number of places to the right. </li></ul><ul><li>If necessary, add zeros to the product to provide the required places. </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  15. 15. Dividing Decimals (Page 76) © 2009 Cengage Learning. All rights reserved. 3–
  16. 16. PART II © 2009 Cengage Learning. All rights reserved. 3–
  17. 17. Dividing Decimals (cont’d) © 2009 Cengage Learning. All rights reserved. 3–
  18. 18. Dividing Decimals Examples © 2009 Cengage Learning. All rights reserved. 3–
  19. 19. Division Shortcut (Page 77) <ul><li>Whenever you divide a decimal by a power of 10, such as 10, 100, 1,000, 10,000, etc., count the number of zeros in the divisor and move the decimal point in the dividend the same number of places to the left. </li></ul><ul><li>It may be necessary to add zeros to provide the required places. </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  20. 20. Converting Decimals to Fractions (Page 83) © 2009 Cengage Learning. All rights reserved. 3–
  21. 21. Converting Fractions to Decimals (Page 84) © 2009 Cengage Learning. All rights reserved. 3–
  22. 22. Chapter Review Problem 1 <ul><li>Marlene’s Rebollar Monthly overtime was 26 hours. What was the average number of overtime hours per week did she work? </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
  23. 23. Chapter Review Problem 2 <ul><li>Overtime costs the company $15.50 per hour. </li></ul><ul><li>If total Juanita Del Cid overtime was 26 hours last month, what was the cost to the company for her overtime? </li></ul>© 2009 Cengage Learning. All rights reserved. 3–
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