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Chapter 3

Chapter 3. Decimals. Using Decimal Notation. 3.1. Decimal Fractions. Decimal fractions are fractions with 10, 100, 1000, and so on in the denominator. . Decimal fractions can be written in many ways. (in fractional form). One-tenth. 0.1. (in words). (in decimal form). Hundreds.

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Chapter 3

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  1. Chapter 3 Decimals

  2. Using Decimal Notation 3.1

  3. Decimal Fractions • Decimal fractions are fractions with 10, 100, 1000, and so on in the denominator. • Decimal fractions can be written in many ways. • (in fractional form) • One-tenth • 0.1 • (in words) • (in decimal form)

  4. Hundreds • Tens • Ones • Decimal Point • Tenths • Hundredths • Thousandths • Ten-Thousandths • 3 • 4 • 9 • . • 3 • 8 • 6 • 1 • 100 • 10 • 1 • “and” Place Values • The decimal 349.3861 can be written in words as “three hundred forty-nine and three thousand eight hundred sixty-one ten-thousandths.”

  5. one zero • three zeros • one decimal place • three decimal places Fractions & Equivalent Decimals • Note the relationship between fractions and their equivalent numbers’ decimal form.

  6. Example: • 1. Write the fraction as a decimal. • three zeros • 2. Write the fraction as a decimal. • three decimal places Changing from Fractions to Decimals

  7. Changing from Decimals to Fractions • Example: • 1. Write the decimal 0.371 as a fraction. • 2. Write the decimal 4.0038 as a fraction. • Simplify when possible.

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