Descending Order Word Problems For Kids

Descending Order Word Problems

Descending order means arranging numbers from the largest to the smallest. Let’s go through a step-by-step explanation of descending order word problems with diagrams.

Example Problem:

Problem: Sarah, John, and Emma collected 32, 45, and 28 apples respectively. Arrange the number of apples they collected in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Sarah collected 32 apples.
    • John collected 45 apples.
    • Emma collected 28 apples.
  2. Identify the Numbers:
    • We have the numbers 32, 45, and 28.
  3. Arrange in Descending Order:
    • Descending order means we start with the largest number and go down to the smallest.
  4. Compare the Numbers:
    • Compare 32, 45, and 28.
    • Diagram: 32 45 28
    • The largest number is 45.
    • The next largest number is 32.
    • The smallest number is 28.
  5. Arrange the Numbers:
    • In descending order, the numbers are 45, 32, and 28.
    • Diagram: 45 > 32 > 28
  6. Conclusion:
    • John collected the most apples (45).
    • Sarah collected the next most (32).
    • Emma collected the least (28).

Visual Representation:

  1. Original Collection:
  2. Comparing Apples:
  3. Descending Order:

Practice Problems:

  1. Problem: Mike, Lily, and Sam scored 88, 95, and 72 in their math test respectively. Arrange their scores in descending order.
    • Numbers: 88, 95, 72
    • Solution: 95, 88, 72
  2. Problem: Three plants grew to heights of 45 cm, 60 cm, and 50 cm. Arrange the heights in descending order.
    • Numbers: 45, 60, 50
    • Solution: 60, 50, 45

Example Problem:

Problem: Sarah, John, and Emma collected 30, 40, and 20 apples respectively. Arrange the number of apples they collected in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Sarah collected 30 apples.
    • John collected 40 apples.
    • Emma collected 20 apples.
  2. Identify the Numbers:
    • We have the numbers 30, 40, and 20.
  3. Arrange in Descending Order:
    • Descending order means we start with the largest number and go down to the smallest.
  4. Compare the Numbers:
    • Compare 30, 40, and 20.
    • Diagram: 30 40 20
    • The largest number is 40.
    • The next largest number is 30.
    • The smallest number is 20.
  5. Arrange the Numbers:
    • In descending order, the numbers are 40, 3, and 20.
    • Diagram: 40 > 30 > 20
  6. Conclusion:
    • John collected the most apples (40).
    • Sarah collected the next most (30).
    • Emma collected the least (20).

Visual Representation:

  1. Original Collection:
  2. Comparing Apples:
  3. Descending Order:

Practice Problems:

  1. Problem: Mike, Lily, and Sam scored 88, 95, and 72 in their math test respectively. Arrange their scores in descending order.
    • Numbers: 88, 95, 72
    • Solution: 95, 88, 72
  2. Problem: Three plants grew to heights of 45 cm, 60 cm, and 50 cm. Arrange the heights in descending order.
    • Numbers: 45, 60, 50
    • Solution: 60, 50, 45

Example 1: Scores in a Quiz

Problem: Amy, Ben, and Clara scored 85, 90, and 78 in a quiz respectively. Arrange their scores in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Amy scored 85.
    • Ben scored 90.
    • Clara scored 78.
  2. Identify the Numbers:
    • We have the scores 85, 90, and 78.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 85, 90, and 78.
    • Diagram: 85 90 78
    • The largest score is 90.
    • The next largest score is 85.
    • The smallest score is 78.
  5. Arrange the Numbers:
    • In descending order, the scores are 90, 85, and 78.
    • Diagram: 90 > 85 > 78
  6. Conclusion:
    • Ben scored the highest (90).
    • Amy scored the next highest (85).
    • Clara scored the lowest (78).

Visual Representation:

  1. Original Scores:
  2. Comparing Scores:
  3. Descending Order:

Example 2: Heights of Buildings

Problem: Three buildings have heights of 150 m, 200 m, and 175 m. Arrange their heights in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Building A is 150 m.
    • Building B is 200 m.
    • Building C is 175 m.
  2. Identify the Numbers:
    • We have the heights 150 m, 200 m, and 175 m.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 150, 200, and 175.
    • Diagram: 150 200 175
    • The largest height is 200.
    • The next largest height is 175.
    • The smallest height is 150.
  5. Arrange the Numbers:
    • In descending order, the heights are 200, 175, and 150.
    • Diagram: 200 > 175 > 150
  6. Conclusion:
    • Building B is the tallest (200 m).
    • Building C is the next tallest (175 m).
    • Building A is the shortest (150 m).

Visual Representation:

  1. Original Heights:
  2. Comparing Heights:
  3. Descending Order:

Practice Problems:

  1. Problem: Lily, Max, and Zoe have 12, 25, and 19 books respectively. Arrange the number of books they have in descending order.
    • Numbers: 12, 25, 19
    • Solution: 25, 19, 12
  2. Problem: Three cars traveled 250 km, 300 km, and 275 km. Arrange the distances in descending order.
    • Numbers: 250, 300, 275
    • Solution: 300, 275, 250

Example 3: Scores in a Race

Problem: Jake, Mia, and Noah finished a race in 12 minutes, 10 minutes, and 15 minutes respectively. Arrange their times in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Jake finished in 12 minutes.
    • Mia finished in 10 minutes.
    • Noah finished in 15 minutes.
  2. Identify the Numbers:
    • We have the times 12, 10, and 15 minutes.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 12, 10, and 15.
    • Diagram: 12 10 15
    • The largest time is 15.
    • The next largest time is 12.
    • The smallest time is 10.
  5. Arrange the Numbers:
    • In descending order, the times are 15, 12, and 10.
    • Diagram: 15 > 12 > 10
  6. Conclusion:
    • Noah took the longest time (15 minutes).
    • Jake took the next longest time (12 minutes).
    • Mia took the shortest time (10 minutes).

Visual Representation:

  1. Original Times:
  2. Comparing Times:
  3. Descending Order:

Example 4: Number of Steps Taken

Problem: Anna, Liam, and Olivia took 4500, 3200, and 5100 steps respectively in a day. Arrange the number of steps they took in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Anna took 4500 steps.
    • Liam took 3200 steps.
    • Olivia took 5100 steps.
  2. Identify the Numbers:
    • We have the numbers 4500, 3200, and 5100.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 4500, 3200, and 5100.
    • Diagram: 4500 3200 5100
    • The largest number is 5100.
    • The next largest number is 4500.
    • The smallest number is 3200.
  5. Arrange the Numbers:
    • In descending order, the numbers are 5100, 4500, and 3200.
    • Diagram: 5100 > 4500 > 3200
  6. Conclusion:
    • Olivia took the most steps (5100).
    • Anna took the next most steps (4500).
    • Liam took the fewest steps (3200).

Visual Representation:

  1. Original Steps:
  2. Comparing Steps:
  3. Descending Order:

Example 5: Amount of Water Drunk

Problem: Kevin, Emily, and Sophia drank 2 liters, 1.5 liters, and 2.5 liters of water respectively in a day. Arrange the amounts in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Kevin drank 2 liters.
    • Emily drank 1.5 liters.
    • Sophia drank 2.5 liters.
  2. Identify the Numbers:
    • We have the amounts 2 liters, 1.5 liters, and 2.5 liters.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 2, 1.5, and 2.5.
    • Diagram: 2 1.5 2.5
    • The largest amount is 2.5.
    • The next largest amount is 2.
    • The smallest amount is 1.5.
  5. Arrange the Numbers:
    • In descending order, the amounts are 2.5, 2, and 1.5.
    • Diagram: 2.5 > 2 > 1.5
  6. Conclusion:
    • Sophia drank the most water (2.5 liters).
    • Kevin drank the next most water (2 liters).
    • Emily drank the least water (1.5 liters).

Visual Representation:

  1. Original Amounts:
  2. Comparing Amounts:
  3. Descending Order:

Practice Problems:

  1. Problem: Jack, Emma, and Oliver picked 23, 35, and 29 strawberries respectively. Arrange the numbers in descending order.
    • Numbers: 23, 35, 29
    • Solution: 35, 29, 23
  2. Problem: Three trees are 15 m, 25 m, and 20 m tall. Arrange the heights in descending order.
    • Numbers: 15, 25, 20
    • Solution: 25, 20, 15

Example 6: Cookies Baked

Problem: Lily, Max, and Zoe baked 24, 18, and 30 cookies respectively. Arrange the number of cookies they baked in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Lily baked 24 cookies.
    • Max baked 18 cookies.
    • Zoe baked 30 cookies.
  2. Identify the Numbers:
    • We have the numbers 24, 18, and 30.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 24, 18, and 30.
    • Diagram: 24 18 30
    • The largest number is 30.
    • The next largest number is 24.
    • The smallest number is 18.
  5. Arrange the Numbers:
    • In descending order, the numbers are 30, 24, and 18.
    • Diagram: 30 > 24 > 18
  6. Conclusion:
    • Zoe baked the most cookies (30).
    • Lily baked the next most cookies (24).
    • Max baked the fewest cookies (18).

Visual Representation:

  1. Original Cookies:
  2. Comparing Cookies:
  3. Descending Order:

Example 7: Toy Cars Owned

Problem: Sam, Jenny, and Alex have 15, 28, and 22 toy cars respectively. Arrange the number of toy cars they have in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Sam has 15 toy cars.
    • Jenny has 28 toy cars.
    • Alex has 22 toy cars.
  2. Identify the Numbers:
    • We have the numbers 15, 28, and 22.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 15, 28, and 22.
    • Diagram: 15 28 22
    • The largest number is 28.
    • The next largest number is 22.
    • The smallest number is 15.
  5. Arrange the Numbers:
    • In descending order, the numbers are 28, 22, and 15.
    • Diagram: 28 > 22 > 15
  6. Conclusion:
    • Jenny has the most toy cars (28).
    • Alex has the next most toy cars (22).
    • Sam has the fewest toy cars (15).

Visual Representation:

  1. Original Toy Cars:
  2. Comparing Toy Cars:
  3. Descending Order:

Example 8: Scores in a Video Game

Problem: Emma, Liam, and Oliver scored 1200, 1800, and 1500 points in a video game respectively. Arrange their scores in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Emma scored 1200 points.
    • Liam scored 1800 points.
    • Oliver scored 1500 points.
  2. Identify the Numbers:
    • We have the scores 1200, 1800, and 1500.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 1200, 1800, and 1500.
    • Diagram: 1200 1800 1500
    • The largest score is 1800.
    • The next largest score is 1500.
    • The smallest score is 1200.
  5. Arrange the Numbers:
    • In descending order, the scores are 1800, 1500, and 1200.
    • Diagram: 1800 > 1500 > 1200
  6. Conclusion:
    • Liam scored the most points (1800).
    • Oliver scored the next most points (1500).
    • Emma scored the fewest points (1200).

Visual Representation:

  1. Original Scores:
  2. Comparing Scores:
  3. Descending Order:

Example 9: Pages Read

Problem: Mark, Susan, and Tim read 50, 35, and 45 pages of a book respectively. Arrange the number of pages they read in descending order.

Step-by-Step Solution:

  1. Understand the Problem:
    • Mark read 50 pages.
    • Susan read 35 pages.
    • Tim read 45 pages.
  2. Identify the Numbers:
    • We have the numbers 50, 35, and 45.
  3. Arrange in Descending Order:
    • Descending order means starting with the largest number and going down to the smallest.
  4. Compare the Numbers:
    • Compare 50, 35, and 45.
    • Diagram: 50 35 45
    • The largest number is 50.
    • The next largest number is 45.
    • The smallest number is 35.
  5. Arrange the Numbers:
    • In descending order, the numbers are 50, 45, and 35.
    • Diagram: 50 > 45 > 35
  6. Conclusion:
    • Mark read the most pages (50).
    • Tim read the next most pages (45).
    • Susan read the fewest pages (35).

Visual Representation:

  1. Original Pages:
  2. Comparing Pages:
  3. Descending Order:

Practice Problems:

  1. Problem: Three friends scored 67, 89, and 75 in a test. Arrange the scores in descending order.
    • Numbers: 67, 89, 75
    • Solution: 89, 75, 67
  2. Problem: A farmer harvested 400, 600, and 500 apples from three trees. Arrange the numbers in descending order.
    • Numbers: 400, 600, 500
    • Solution: 600, 500, 400

Tips for Solving:

  • Always start with the largest number and go down to the smallest.
  • Use visual aids like diagrams or pictures to help compare the sizes.
  • Practice with different sets of numbers to get better at arranging in descending order.

Conclusion:

Explaining descending order word problems with diagrams can make the concept clearer for kids. Using visual aids and step-by-step solutions helps them understand how to compare and arrange numbers from largest to smallest.

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