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 . 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 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 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 decimal. 2. Write the decimal 4. 0038 as a fraction. Simplify when possible. Tobey & Slater, Basic College Mathematics, 6 e 7