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Lesson Presentation

In this lesson, students will learn to compare and order negative rational numbers by using <, >, or = symbols. They will practice writing fractions with common denominators and converting fractions to decimals for comparison. Examples and practice exercises included.

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Lesson Presentation

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  1. Lesson Presentation

  2. Learn to compare and order negative rational numbers.

  3. A rational number is a number that can written as a ratio, with any integer as the numerator, and any integer except 0 as the denominator.

  4. Additional Example 1A: Comparing Negative Rational Numbers Use <, >, or = to compare each pair of numbers. A. Write the fractions using a common denominator. Compare.

  5. Additional Example 1B: Comparing Negative Rational Numbers Use <, >, or = to compare each pair of numbers. B. –0.5 –3 –0.5 –3.0 Line up the decimal points and compare from left to right. 0 is greater than –3. –0.5 > –3

  6. Additional Example 1C: Comparing Negative Rational Numbers Use <, >, or = to compare each pair of numbers. C. Write –1/2 as a decimal. –0.5 < –0.3 Compare.

  7. Check It Out: Example 1A Use <, >, or = to compare each pair of numbers. A. Write the fractions using a common denominator. Compare.

  8. Check It Out: Example 1B Use <, >, or = to compare each pair of numbers. B. –0.4 –14 –0.4 –14.0 Line up the decimal points and compare from left to right. 0 is greater than –14. –0.4 > –14

  9. Check It Out: Example 1C Use <, >, or = to compare each pair of numbers. C. Write –1/5 as a decimal. –0.2 = –0.2 Compare.

  10. –5 –4 –3 –2 –1 0 1 2 3 4 5 Additional Example 2: Ordering Rational Numbers Use a number line to write the numbers in order from least to greatest. Graph the numbers on a number line. –2 –1 0 2.2 –3 1/4

  11. –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 2 Use a number line to write the numbers in order from least to greatest. Graph the numbers on a number line. –4 –2 0 4.2 –4 1/2

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