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Rational Numbers Comparison and Ordering Lesson

Learn to compare and order rational numbers, including negative ones, and practice converting fractions to decimals. Practice exercises and examples provided for better understanding.

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Rational Numbers Comparison and Ordering Lesson

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-3c Objective Compare and order rational numbers

  4. Example 2-3c Vocabulary No new vocabulary

  5. Example 2-3c Math Symbols < less than > greater than

  6. Lesson 2 Contents Example 1Compare Rational Numbers Example 2Compare Negative Rational Numbers Example 3Order Rational Numbers

  7. Replace with <, >, or to make a true sentence. ENTER ENTER 3 7 0.42857… 8 13 0.61538… Example 2-1a Write problem placing a circle between the numbers for the answer Using calculator, convert each fraction to a decimal Line decimals up 1/3

  8. Replace with <, >, or to make a true sentence. ENTER ENTER 3 7 0.42857… 8 13 0.61538… Example 2-1a Since whole number is zero in each compare the place value of the first digit to the right of the decimal They are not the same number so compare 4 and 6 Answer: 4 is less than 6 so is less than < 1/3

  9. Replace with <, >, or to make a true sentence. Example 2-1b Answer: 1/3

  10. Replace with <, >, or to make a true sentence. ENTER 3 4 - 6.75 Example 2-2a Write problem placing a circle between the numbers for the answer Using calculator, convert each fraction to a decimal - 6.7 - 6.70 Line decimals up remembering to include the whole numbers -6 Since the whole number is the same, and the number to the right of the decimal is the same compare the next place value to the right by annexing a zero 2/3

  11. Replace with <, >, or to make a true sentence. ENTER 3 4 - 6.75 Example 2-2a They are not the same number so compare 0 and 5 -5 is less than 0 so is less than -67 - 6.7 - 6.70 Remember to write the answer using the original numbers Answer: > 2/3

  12. Replace with <, >, or to make a true sentence. Example 2-2c Answer: 2/3

  13. Substance Density(g/cm3) aluminum 2.7 beryllium 1.87 ENTER ENTER ENTER brick 1 + 4 5 1.80 2 + 1 4 2.25 2 + 3 5 2.60 crown glass fused silica marble nylon 1.1 pyrex glass 2.32 rubber neoprene Example 2-3a CHEMISTRYThe values for the approximate densities of various substances are shown in the table. Order the densities from least to greatest. Write each fraction as a decimal. 3/3

  14. Substance Density(g/cm3) aluminum 2.7 beryllium 1.87 brick crown glass fused silica marble nylon 1.1 pyrex glass 2.32 rubber neoprene Example 2-3a Write all numbers in vertical order lining up the decimals and round to the hundredth place value 2.70 1.87 1.80 2.25 2.22 . . . 2.60 1.10 2.32 1.33 . . . 3/3

  15. Substance Density(g/cm3) aluminum 2.7 beryllium 1.87 brick crown glass fused silica marble nylon 1.1 pyrex glass 2.32 rubber neoprene Example 2-3a Order beginning with the smallest one’s place value which is 1 Next order the 2’s 2.70 1.87 1.80 2.25 2.22 . . . 2.60 Answer: 1.10 1.1, 1.3, , 1.87, 2.2, 2.32 , 2.32, , 2.7 1.33 . . . 3/3

  16. Coaster Ride Time (min) Big Dipper Double Loop 1.5 Mind Eraser 1.8 Serial Thriller X–Flight Example 2-3c * AMUSEMENT PARKSThe ride times for five amusement park attractions are shown in the table below. Order the lengths from least to greatest. Answer: 3/3

  17. End of Lesson 2 Assignment

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