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# Chapter 3 part1

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### Chapter 3 part1

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–
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–
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–
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