Chapter 3 Decimals 2010 Pearson Prentice Hall All

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Chapter 3 Decimals © 2010 Pearson Prentice Hall. All rights reserved

Chapter 3 Decimals © 2010 Pearson Prentice Hall. All rights reserved

§ 3. 1 Using Decimal Notation © 2010 Pearson Prentice Hall. All rights reserved

§ 3. 1 Using Decimal Notation © 2010 Pearson Prentice Hall. All rights reserved

Decimal Fractions Decimal fractions are fractions with 10, 1000, and so on in the

Decimal Fractions Decimal fractions are fractions with 10, 1000, and so on in the denominator. Decimal fractions can be written in many ways. (in fractional form) 0. 1 (in decimal form) Tobey & Slater, Basic College Mathematics, 6 e One-tenth (in words) 3

Place Values Hundreds Tens Ones Decimal Point Tenths Hundredths Thousandths Ten-Thousandths 3 4 9

Place Values Hundreds Tens Ones Decimal Point Tenths Hundredths Thousandths Ten-Thousandths 3 4 9 . 3 8 6 1 100 10 1 “and” The decimal 349. 3861 can be written in words as “three hundred forty-nine and three thousand eight hundred sixty-one ten-thousandths. ” Tobey & Slater, Basic College Mathematics, 6 e 4

Fractions & Equivalent Decimals Note the relationship between fractions and their equivalent numbers’ decimal

Fractions & Equivalent Decimals Note the relationship between fractions and their equivalent numbers’ decimal form. one zero three zeros one decimal place three decimal places Tobey & Slater, Basic College Mathematics, 6 e 5

Changing from Fractions to Decimals Example: 1. Write the fraction 2. Write the fraction

Changing from Fractions to Decimals Example: 1. Write the fraction 2. Write the fraction three zeros as a fraction. as a decimal. three decimal places Tobey & Slater, Basic College Mathematics, 6 e 6

Changing from Decimals to Fractions Example: 1. Write the decimal 0. 371 as a

Changing from Decimals to Fractions Example: 1. Write the decimal 0. 371 as a decimal. 2. Write the decimal 4. 0038 as a fraction. Simplify when possible. Tobey & Slater, Basic College Mathematics, 6 e 7