Ascending Order Word Problems for Kids

Step-by-Step Explanation

1. Introduction to Ascending Order
   • Definition: Ascending order means arranging numbers from the smallest to the largest.
   • Example: 3, 5, 8, 12, 20.
2. Understanding the Concept with a Simple Example
   • Problem: Arrange the numbers 4, 1, 7, 3, and 9 in ascending order.
   • Solution: Identify the smallest number and place it first, then the next smallest, and so on.

Step 1: Identify the Numbers

Problem: Arrange the following numbers in ascending order: 2, 8, 5, 3, 6.

Step 2: List the Numbers

• Start by listing the numbers:
  • 2, 8, 5, 3, 6

Step 3: Identify the Smallest Number

• The smallest number is 2.

Diagram:

[2]
8, 5, 3, 6

Step 4: Cross Out the Smallest Number and Move to the Next

• After selecting 2, cross it out and find the next smallest number from the remaining:
  • Next smallest: 3

Diagram:

2
[3]
8, 5, 6

Step 5: Repeat the Process

• Continue the process until all numbers are arranged.

Diagrams:

2, 3
[5]
8, 6

2, 3, 5
[6]
8

2, 3, 5, 6
[8]

Final Arrangement:

• Ascending Order: 2, 3, 5, 6, 8

Word Problem with Context

Problem: Emma has 5 different toy cars with the following colors: red (4), blue (1), green (7), yellow (3), and black (9). She wants to arrange them in ascending order based on their numbers.

Solution:

1. List the numbers: 4, 1, 7, 3, 9
2. Identify the smallest number: 1
3. Cross out 1 and find the next smallest: 3
4. Continue the process: 4, 7, 9

Diagram:

[1] [3] [4] [7] [9]
4, 1, 7, 3, 9 -> 4, 7, 3, 9 -> 7, 3, 9 -> 9

• Final Order: 1, 3, 4, 7, 9

Visual Representation for Kids

1. Toy Cars Example:
   • Red Car: 4
   • Blue Car: 1
   • Green Car: 7
   • Yellow Car: 3
   • Black Car: 9

Before Arranging:

Red(4)    Blue(1)    Green(7)    Yellow(3)    Black(9)

After Arranging in Ascending Order:

Blue(1)    Yellow(3)    Red(4)    Green(7)    Black(9)

Practice Problem

Problem: Arrange the following numbers in ascending order: 10, 2, 8, 5, 1.

Steps:

1. List: 10, 2, 8, 5, 1
2. Identify smallest: 1
3. Next: 2
4. Next: 5
5. Next: 8
6. Final: 10

Answer:

• Ascending Order: 1, 2, 5, 8, 10

More Examples of Ascending Order Word Problems with Diagrams for Kids

Let’s explore more examples to help kids understand the concept of ascending order.

Example 1: Arranging Heights

Problem: Sarah measured the heights of five plants in her garden. The heights (in cm) are 12, 7, 15, 10, and 5. Arrange these heights in ascending order.

Step-by-Step Solution:

1. List the Heights:
   • 12, 7, 15, 10, 5
2. Identify the Smallest Height:
   • Smallest: 5

Diagram:

  [5]
  12, 7, 15, 10

3. Next Smallest Height:
   • After 5, the next smallest is 7.

Diagram:

  5, [7]
  12, 15, 10

4. Continue the Process:

Diagrams:

5,  7,  [10]
12,  15

5, 7, 10, [12]
15

5, 7, 10, 12, [15]

5. Final Arrangement:
   • Ascending Order: 5, 7, 10, 12, 15

Example 2: Arranging Scores

Problem: Alex scored the following points in five games: 22, 30, 15, 18, and 25. Arrange these scores in ascending order.

Step-by-Step Solution:

1. List the Scores:
   • 22, 30, 15, 18, 25
2. Identify the Smallest Score:
   • Smallest: 15

Diagram:

[15]
22, 30, 18, 25

3. Next Smallest Score:
   • After 15, the next smallest is 18.

Diagram:

15, [18]
22, 30, 25

4. Continue the Process:

Diagrams:

15, 18, [22]
  30, 25

15, 18, 22, [25]
  30

15, 18, 22, 25, [30]

5. Final Arrangement:
   • Ascending Order: 15, 18, 22, 25, 30

Example 3: Arranging Ages

Problem: In a group of friends, their ages are 11, 8, 14, 9, and 12. Arrange these ages in ascending order.

Step-by-Step Solution:

1. List the Ages:
   • 11, 8, 14, 9, 12
2. Identify the Smallest Age:
   • Smallest: 8

Diagram:

  [8]
  11, 14, 9, 12

3. Next Smallest Age:
   • After 8, the next smallest is 9.

Diagram:

  8, [9]
  11, 14, 12

4. Continue the Process:

Diagrams:

  8, 9, [11]
  14, 12

8, 9, 11, [12]
  14

  8, 9, 11, 12, [14]

5. Final Arrangement:
   • Ascending Order: 8, 9, 11, 12, 14

Example 4: Arranging Weights

Problem: Lucy has five different rocks with weights (in grams) of 45, 20, 35, 25, and 50. Arrange these weights in ascending order.

Step-by-Step Solution:

1. List the Weights:
   • 45, 20, 35, 25, 50
2. Identify the Smallest Weight:
   • Smallest: 20

Diagram:

  [20]
  45, 35, 25, 50

3. Next Smallest Weight:
   • After 20, the next smallest is 25.

Diagram:

  20, [25]
  45, 35, 50

4. Continue the Process:

Diagrams:

  20, 25, [35]
  45, 50

  20, 25, 35, [45]
  50

  20, 25, 35, 45, [50]

5. Final Arrangement:
   • Ascending Order: 20, 25, 35, 45, 50

Example 5: Arranging Candy Counts

Problem: Jamie has five jars of candies with the following counts: 13, 5, 8, 20, and 15. Arrange these counts in ascending order.

Step-by-Step Solution:

1. List the Candy Counts:
   • 13, 5, 8, 20, 15
2. Identify the Smallest Count:
   • Smallest: 5

Diagram:

  [5]
  13, 8, 20, 15

3. Next Smallest Count:
   • After 5, the next smallest is 8.

Diagram:

  5, [8]
  13, 20, 15

4. Continue the Process:

Diagrams:

  5, 8, [13]
  20, 15

 5, 8, 13, [15]
  20

  5, 8, 13, 15, [20]

5. Final Arrangement:
   • Ascending Order: 5, 8, 13, 15, 20

Example 6: Arranging Temperatures

Problem: The temperatures recorded in five different cities are 22°C, 18°C, 30°C, 25°C, and 20°C. Arrange these temperatures in ascending order.

Step-by-Step Solution:

1. List the Temperatures:
   • 22, 18, 30, 25, 20
2. Identify the Smallest Temperature:
   • Smallest: 18

Diagram:

  [18]
  22, 30, 25, 20

3. Next Smallest Temperature:
   • After 18, the next smallest is 20.

Diagram:

  18, [20]
  22, 30, 25

4. Continue the Process:

Diagrams:

  18, 20, [22]
  30, 25

  18, 20, 22, [25]
  30

  18, 20, 22, 25, [30]

5. Final Arrangement:
   • Ascending Order: 18, 20, 22, 25, 30

Example 7: Arranging Book Pages

Problem: The page numbers of five different chapters in a book are 120, 85, 90, 115, and 100. Arrange these page numbers in ascending order.

Step-by-Step Solution:

1. List the Page Numbers:
   • 120, 85, 90, 115, 100
2. Identify the Smallest Page Number:
   • Smallest: 85

Diagram:

  [85]
  120, 90, 115, 100

3. Next Smallest Page Number:
   • After 85, the next smallest is 90.

Diagram:

  85, [90]
  120, 115, 100

4. Continue the Process:

Diagrams:

  85, 90, [100]
  120, 115

  85, 90, 100, [115]
  120

  85, 90, 100, 115, [120]

5. Final Arrangement:
   • Ascending Order: 85, 90, 100, 115, 120

Example 8: Arranging Money

Problem: Sarah saved the following amounts of money over five months: $45, $20, $35, $25, and $50. Arrange these amounts in ascending order.

Step-by-Step Solution:

1. List the Amounts:
   • 45, 20, 35, 25, 50
2. Identify the Smallest Amount:
   • Smallest: 20

Diagram:

  [20]
  45, 35, 25, 50

3. Next Smallest Amount:
   • After 20, the next smallest is 25.

Diagram:

  20, [25]
  45, 35, 50

4. Continue the Process:

Diagrams:

  20, 25, [35]
  45, 50

  20, 25, 35, [45]
  50

  20, 25, 35, 45, [50]

5. Final Arrangement:
   • Ascending Order: 20, 25, 35, 45, 50

Example 9: Arranging Distances

Problem: The distances (in km) between Sam’s house and five different places are 10 km, 25 km, 15 km, 20 km, and 5 km. Arrange these distances in ascending order.

Step-by-Step Solution:

1. List the Distances:
   • 10, 25, 15, 20, 5
2. Identify the Smallest Distance:
   • Smallest: 5

Diagram:

  [5]
  10, 25, 15, 20

3. Next Smallest Distance:
   • After 5, the next smallest is 10.

Diagram:

  5, [10]
  25, 15, 20

4. Continue the Process:

Diagrams:

  5, 10, [15]
  25, 20

  5, 10, 15, [20]
  25

  5, 10, 15, 20, [25]

5. Final Arrangement:
   • Ascending Order: 5, 10, 15, 20, 25

Example 10: Arranging Quiz Scores

Problem: Jenny got the following scores in her quizzes: 72, 88, 75, 95, and 80. Arrange these scores in ascending order.

Step-by-Step Solution:

1. List the Scores:
   • 72, 88, 75, 95, 80
2. Identify the Smallest Score:
   • Smallest: 72

Diagram:

  [72]
  88, 75, 95, 80

3. Next Smallest Score:
   • After 72, the next smallest is 75.

Diagram:

  72, [75]
  88, 95, 80

4. Continue the Process:

Diagrams:

  72, 75, [80]
  88, 95

  72, 75, 80, [88]
  95

  72, 75, 80, 88, [95]

5. Final Arrangement:
   • Ascending Order: 72, 75, 80, 88, 95

Summary Diagrams for Each Example

Example 6: Temperatures

  [18]  22, 30, 25, 20  ->  18, [20]  22, 30, 25  ->  18, 20, [22]  30, 25  ->  18, 20, 22, [25]  30  ->  18, 20, 22, 25, [30]

Example 7: Book Pages

  [85]  120, 90, 115, 100  ->  85, [90]  120, 115, 100  ->  85, 90, [100]  120, 115  ->  85, 90, 100, [115]  120  ->  85, 90, 100, 115, [120]

Example 8: Money

  [20]  45, 35, 25, 50  ->  20, [25]  45, 35, 50  ->  20, 25, [35]  45, 50  ->  20, 25, 35, [45]  50  ->  20, 25, 35, 45, [50]

Example 9: Distances

  [5]  10, 25, 15, 20  ->  5, [10]  25, 15, 20  ->  5, 10, [15]  25, 20  ->  5, 10, 15, [20]  25  ->  5, 10, 15, 20, [25]

Example 10: Quiz Scores

[72] 88, 75, 95, 80 -> 72, [75] 88, 95, 80 -> 72, 75, [80] 88, 95 -> 72, 75, 80, [88] 95 -> 72, 75, 80, 88, [95]

Example 11: Arranging Shoe Sizes

Problem: Amy has a collection of shoes with sizes 7, 5, 9, 6, and 8. Arrange these shoe sizes in ascending order.

Step-by-Step Solution:

1. List the Shoe Sizes:
   • 7, 5, 9, 6, 8
2. Identify the Smallest Size:
   • Smallest: 5

Diagram:

  [5]
  7, 9, 6, 8

3. Next Smallest Size:
   • After 5, the next smallest is 6.

Diagram:

  5, [6]
  7, 9, 8

4. Continue the Process:

Diagrams:

  5, 6, [7]
  9, 8

  5, 6, 7, [8]
  9

  5, 6, 7, 8, [9]

5. Final Arrangement:
   • Ascending Order: 5, 6, 7, 8, 9

Example 12: Arranging Pencil Lengths

Problem: Ben has five pencils with lengths (in cm) of 12, 9, 15, 11, and 14. Arrange these lengths in ascending order.

Step-by-Step Solution:

1. List the Pencil Lengths:
   • 12, 9, 15, 11, 14
2. Identify the Smallest Length:
   • Smallest: 9

Diagram:

  [9]
  12, 15, 11, 14

3. Next Smallest Length:
   • After 9, the next smallest is 11.

Diagram:

  9, [11]
  12, 15, 14

4. Continue the Process:

Diagrams:

  9, 11, [12]
  15, 14

  9, 11, 12, [14]
  15

  9, 11, 12, 14, [15]

5. Final Arrangement:
   • Ascending Order: 9, 11, 12, 14, 15

Example 13: Arranging Fruit Weights

Problem: Ellie has five fruits with weights (in grams) of 250, 180, 220, 200, and 270. Arrange these weights in ascending order.

Step-by-Step Solution:

1. List the Fruit Weights:
   • 250, 180, 220, 200, 270
2. Identify the Smallest Weight:
   • Smallest: 180

Diagram:

  [180]
  250, 220, 200, 270

3. Next Smallest Weight:
   • After 180, the next smallest is 200.

Diagram:

  180, [200]
  250, 220, 270

4. Continue the Process:

Diagrams:

  180, 200, [220], 250
  270

  180, 200, 220, [250]
  270

  180, 200, 220, 250, [270]

5. Final Arrangement:
   • Ascending Order: 180, 200, 220, 250, 270

Example 14: Arranging Pet Ages

Problem: Mark’s pets have the following ages: 3 years, 1 year, 5 years, 2 years, and 4 years. Arrange these ages in ascending order.

Step-by-Step Solution:

1. List the Pet Ages:
   • 3, 1, 5, 2, 4
2. Identify the Smallest Age:
   • Smallest: 1

Diagram:

  [1]
  3, 5, 2, 4

3. Next Smallest Age:
   • After 1, the next smallest is 2.

Diagram:

  1, [2]
  3, 5, 4

4. Continue the Process:

Diagrams:

  1, 2, [3]
  5, 4

  1, 2, 3, [4]
  5

  1, 2, 3, 4, [5]

5. Final Arrangement:
   • Ascending Order: 1, 2, 3, 4, 5

Example 15: Arranging Running Times

Problem: Emma recorded her running times (in minutes) over five days: 45 minutes, 50 minutes, 40 minutes, 55 minutes, and 48 minutes. Arrange these running times in ascending order.

Step-by-Step Solution:

1. List the Running Times:
   • 45, 50, 40, 55, 48
2. Identify the Smallest Time:
   • Smallest: 40

Diagram:

  [40]
  45, 50, 55, 48

3. Next Smallest Time:
   • After 40, the next smallest is 45.

Diagram:

40, [45]
50, 55, 48

4. Continue the Process:

Diagrams:

  40, 45, [48]
  50, 55

  40, 45, 48, [50]
  55

  40, 45, 48, 50, [55]

5. Final Arrangement:
   • Ascending Order: 40, 45, 48, 50, 55

Summary Diagrams for Each Example

Example 11: Shoe Sizes

  [5]  7, 9, 6, 8  ->  5, [6]  7, 9, 8  ->  5, 6, [7]  9, 8  ->  5, 6, 7, [8]  9  ->  5, 6, 7, 8, [9]

Example 12: Pencil Lengths

  [9]  12, 15, 11, 14  ->  9, [11]  12, 15, 14  ->  9, 11, [12]  15, 14  ->  9, 11, 12, [14]  15  ->  9, 11, 12, 14, [15]

Example 13: Fruit Weights

  [180]  250, 220, 200, 270  ->  180, [200]  250, 220, 270  ->  180, 200, [220]  250, 270  ->  180, 200, 220, [250]  270  ->  180, 200, 220, 250, [270]

Example 14: Pet Ages

  [1]  3, 5, 2, 4  ->  1, [2]  3, 5, 4  ->  1, 2, [3]  5, 4  ->  1, 2, 3, [4]  5  ->  1, 2, 3, 4, [5]

Example 15: Running Times

  [40]  45, 50, 55, 48  ->  40, [45]  50, 55, 48  ->  40, 45, [48]  50, 55  ->  40, 45, 48, [50]  55  ->  40, 45, 48, 50, [55]

Example 16: Arranging Heights of Plants

Problem: The heights of five plants are 35 cm, 28 cm, 45 cm, 30 cm, and 40 cm. Arrange these heights in ascending order.

Step-by-Step Solution:

1. List the Heights:
   • 35, 28, 45, 30, 40
2. Identify the Smallest Height:
   • Smallest: 28

Diagram:

  [28]
  35, 45, 30, 40

3. Next Smallest Height:
   • After 28, the next smallest is 30.

Diagram:

  28, [30]
  35, 45, 40

4. Continue the Process:

Diagrams:

  28, 30, [35]
  45, 40

  28, 30, 35, [40]
  45

  28, 30, 35, 40, [45]

5. Final Arrangement:
   • Ascending Order: 28, 30, 35, 40, 45

Example 17: Arranging Scores in a Game

Problem: The scores of five players in a game are 55, 60, 50, 65, and 58. Arrange these scores in ascending order.

Step-by-Step Solution:

1. List the Scores:
   • 55, 60, 50, 65, 58
2. Identify the Smallest Score:
   • Smallest: 50

Diagram:

  [50]
  55, 60, 65, 58

3. Next Smallest Score:
   • After 50, the next smallest is 55.

Diagram:

  50, [55]
  60, 65, 58

4. Continue the Process:

Diagrams:

  50, 55, [58]
  60, 65

  50, 55, 58, [60]
  65

  50, 55, 58, 60, [65]

5. Final Arrangement:
   • Ascending Order: 50, 55, 58, 60, 65

Example 18: Arranging Distances Run

Problem: The distances (in km) run by five athletes are 12 km, 18 km, 15 km, 20 km, and 17 km. Arrange these distances in ascending order.

Step-by-Step Solution:

1. List the Distances:
   • 12, 18, 15, 20, 17
2. Identify the Smallest Distance:
   • Smallest: 12

Diagram:

  [12]
  18, 15, 20, 17

3. Next Smallest Distance:
   • After 12, the next smallest is 15.

Diagram:

  12, [15]
  18, 20, 17

4. Continue the Process:

Diagrams:

  12, 15, [17]
  18, 20

  12, 15, 17, [18]
  20

  12, 15, 17, 18, [20]

5. Final Arrangement:
   • Ascending Order: 12, 15, 17, 18, 20

Example 19: Arranging Amounts of Water Drunk

Problem: The amounts of water (in liters) drunk by five students in a day are 1.2 liters, 0.8 liters, 1.5 liters, 1.0 liters, and 1.3 liters. Arrange these amounts in ascending order.

Step-by-Step Solution:

1. List the Amounts:
   • 1.2, 0.8, 1.5, 1.0, 1.3
2. Identify the Smallest Amount:
   • Smallest: 0.8

Diagram:

  [0.8]
  1.2, 1.5, 1.0, 1.3

3. Next Smallest Amount:
   • After 0.8, the next smallest is 1.0.

Diagram:

  0.8, [1.0]
  1.2, 1.5, 1.3

4. Continue the Process:

Diagrams:

  0.8, 1.0, [1.2]
  1.5, 1.3

  0.8, 1.0, 1.2, [1.3]
  1.5

  0.8, 1.0, 1.2, 1.3, [1.5]

5. Final Arrangement:
   • Ascending Order: 0.8, 1.0, 1.2, 1.3, 1.5

Example 20: Arranging Number of Pages in Books

Problem: The number of pages in five books are 150 pages, 120 pages, 180 pages, 140 pages, and 160 pages. Arrange these numbers in ascending order.

Step-by-Step Solution:

1. List the Number of Pages:
   • 150, 120, 180, 140, 160
2. Identify the Smallest Number:
   • Smallest: 120

Diagram:

  [120]
  150, 180, 140, 160

3. Next Smallest Number:
   • After 120, the next smallest is 140.

Diagram:

  120, [140]
  150, 180, 160

4. Continue the Process:

Diagrams:

  120, 140, [150]
  180, 160

  120, 140, 150, [160]
  180

  120, 140, 150, 160, [180]

5. Final Arrangement:
   • Ascending Order: 120, 140, 150, 160, 180

Summary Diagrams for Each Example

Example 16: Heights of Plants

  [28]  35, 45, 30, 40  ->  28, [30]  35, 45, 40  ->  28, 30, [35]  45, 40  ->  28, 30, 35, [40]  45  ->  28, 30, 35, 40, [45]

Example 17: Scores in a Game

  [50]  55, 60, 65, 58  ->  50, [55]  60, 65, 58  ->  50, 55, [58]  60, 65  ->  50, 55, 58, [60]  65  ->  50, 55, 58, 60, [65]

Example 18: Distances Run

  [12]  18, 15, 20, 17  ->  12, [15]  18, 20, 17  ->  12, 15, [17]  18, 20  ->  12, 15, 17, [18]  20  ->  12, 15, 17, 18, [20]

Example 19: Amounts of Water Drunk

  [0.8]  1.2, 1.5, 1.0, 1.3  ->  0.8, [1.0]  1.2, 1.5, 1.3  ->  0.8, 1.0, [1.2]  1.5, 1.3  ->  0.8, 1.0, 1.2, [1.3]  1.5  ->  0.8, 1.0, 1.2, 1.3, [1.5]

Example 20: Number of Pages in Books

  [120]  150, 180, 140, 160  ->  120, [140]  150, 180, 160  ->  120, 140, [150]  180, 160  ->   120, 140, 150, [160]  180  ->  120, 140, 150, 160, [180]

Example 21: Arranging Weights of Fruits

Problem: The weights of five fruits are 350 grams, 280 grams, 450 grams, 300 grams, and 400 grams. Arrange these weights in ascending order.

Step-by-Step Solution:

1. List the Weights:
   • 350, 280, 450, 300, 400
2. Identify the Smallest Weight:
   • Smallest: 280

Diagram:

  [280]
  350, 450, 300, 400

3. Next Smallest Weight:
   • After 280, the next smallest is 300.

Diagram:

  280, [300]
  350, 450, 400

4. Continue the Process:

Diagrams:

  280, 300, [350]
  450, 400

  280, 300, 350, [400]
  450

  280, 300, 350, 400, [450]

5. Final Arrangement:
   • Ascending Order: 280, 300, 350, 400, 450

Example 22: Arranging Temperatures

Problem: The temperatures (in °C) recorded over five days are 22°C, 18°C, 25°C, 20°C, and 23°C. Arrange these temperatures in ascending order.

Step-by-Step Solution:

1. List the Temperatures:
   • 22, 18, 25, 20, 23
2. Identify the Smallest Temperature:
   • Smallest: 18

Diagram:

  [18]
  22, 25, 20, 23

3. Next Smallest Temperature:
   • After 18, the next smallest is 20.

Diagram:

  18, [20]
  22, 25, 23

4. Continue the Process:

Diagrams:

  18, 20, [22]
  25, 23

  18, 20, 22, [23]
  25

  18, 20, 22, 23, [25]

5. Final Arrangement:
   • Ascending Order: 18, 20, 22, 23, 25

Example 23: Arranging Ages of Siblings

Problem: The ages of five siblings are 12 years, 8 years, 15 years, 10 years, and 13 years. Arrange these ages in ascending order.

Step-by-Step Solution:

1. List the Ages:
   • 12, 8, 15, 10, 13
2. Identify the Smallest Age:
   • Smallest: 8

Diagram:

  [8]
  12, 15, 10, 13

3. Next Smallest Age:
   • After 8, the next smallest is 10.

Diagram:

  8, [10]
  12, 15, 13

4. Continue the Process:

Diagrams:

  8, 10, [12]
  15, 13

  8, 10, 12, [13]
  15

  8, 10, 12, 13, [15]

5. Final Arrangement:
   • Ascending Order: 8, 10, 12, 13, 15

Example 24: Arranging Scores in a Test

Problem: The scores of five students in a test are 78, 85, 69, 74, and 80. Arrange these scores in ascending order.

Step-by-Step Solution:

1. List the Scores:
   • 78, 85, 69, 74, 80
2. Identify the Smallest Score:
   • Smallest: 69

Diagram:

  [69]
  78, 85, 74, 80

3. Next Smallest Score:
   • After 69, the next smallest is 74.

Diagram:

  69, [74]
  78, 85, 80

4. Continue the Process:

Diagrams:

  69, 74, [78]
  85, 80

  69, 74, 78, [80]
  85

  69, 74, 78, 80, [85]

5. Final Arrangement:
   • Ascending Order: 69, 74, 78, 80, 85

Example 25: Arranging Weights of Animals

Problem: The weights of five animals are 150 kg, 120 kg, 180 kg, 140 kg, and 160 kg. Arrange these weights in ascending order.

Step-by-Step Solution:

1. List the Weights:
   • 150, 120, 180, 140, 160
2. Identify the Smallest Weight:
   • Smallest: 120

Diagram:

  [120]
  150, 180, 140, 160

3. Next Smallest Weight:
   • After 120, the next smallest is 140.

Diagram:

  120, [140]
  150, 180, 160

4. Continue the Process:

Diagrams:

  120, 140, [150]
  180, 160

  120, 140, 150, [160]
  180

  120, 140, 150, 160, [180]

5. Final Arrangement:
   • Ascending Order: 120, 140, 150, 160, 180

Summary Diagrams for Each Example

Example 21: Weights of Fruits

  [280]  350, 450, 300, 400  ->  280, [300]  350, 450, 400  ->  280, 300, [350]  450, 400  ->  280, 300, 350, [400]  450  ->  280, 300, 350, 400, [450]

Example 22: Temperatures

  [18]  22, 25, 20, 23  ->  18, [20]  22, 25, 23  ->  18, 20, [22]  25, 23  ->  18, 20, 22, [23]  25  ->  18, 20, 22, 23, [25]

Example 23: Ages of Siblings

  [8]  12, 15, 10, 13  ->  8, [10]  12, 15, 13  ->  8, 10, [12]  15, 13  ->  8, 10, 12, [13]  15  ->  8, 10, 12, 13, [15]

Example 24: Scores in a Test

  [69]  78, 85, 74, 80  ->  69, [74]  78, 85, 80  ->  69, 74, [78]  85, 80  ->  69, 74, 78, [80]  85  ->  69, 74, 78, 80, [85]

Example 25: Weights of Animals

  [120]  150, 180, 140, 160  ->  120, [140]  150, 180, 160  ->  120, 140, [150]  180, 160  ->  120, 140, 150, [160]  180  ->  120, 140, 150, 160, [180]

Example 26: Arranging Prices of Items

Problem: The prices of five items in a store are $12, $8, $15, $10, and $13. Arrange these prices in ascending order.

Step-by-Step Solution:

1. List the Prices:
   • $12, $8, $15, $10, $13
2. Identify the Smallest Price:
   • Smallest: $8

Diagram:

  [$8], $12
  $12, $15, $13

3. Next Smallest Price:
   • After $8, the next smallest is $10.

Diagram:

  $8, [$10]
  $12, $15, $13

4. Continue the Process:

Diagrams:

  $8, $10, [$12]
  $15, $13

  $8, $10, $12, [$13]
  $15

  $8, $10, $12, $13, [$15]

5. Final Arrangement:
   • Ascending Order: $8, $10, $12, $13, $15

Example 27: Arranging Number of Books Read

Problem: The number of books read by five students over the summer are 5, 8, 3, 7, and 6. Arrange these numbers in ascending order.

Step-by-Step Solution:

1. List the Number of Books:
   • 5, 8, 3, 7, 6
2. Identify the Smallest Number:
   • Smallest: 3

Diagram:

  [3]
  5, 8, 7, 6

3. Next Smallest Number:
   • After 3, the next smallest is 5.

Diagram:

  3, [5]
  8, 7, 6

4. Continue the Process:

Diagrams:

  3, 5, [6]
  8, 7

  3, 5, 6, [7]
  8

  3, 5, 6, 7, [8]

5. Final Arrangement:
   • Ascending Order: 3, 5, 6, 7, 8

Example 28: Arranging Time Spent on Activities

Problem: The time (in minutes) spent on five different activities are 30 minutes, 20 minutes, 45 minutes, 25 minutes, and 40 minutes. Arrange these times in ascending order.

Step-by-Step Solution:

1. List the Times:
   • 30, 20, 45, 25, 40
2. Identify the Smallest Time:
   • Smallest: 20

Diagram:

  [20]
  30, 45, 25, 40

3. Next Smallest Time:
   • After 20, the next smallest is 25.

Diagram:

  20, [25]
  30, 45, 40

4. Continue the Process:

Diagrams:

  20, 25, [30]
  45, 40

  20, 25, 30, [40]
  45

  20, 25, 30, 40, [45]

5. Final Arrangement:
   • Ascending Order: 20, 25, 30, 40, 45

Example 29: Arranging Weights of Backpacks

Problem: The weights of five backpacks are 5 kg, 3 kg, 7 kg, 6 kg, and 4 kg. Arrange these weights in ascending order.

Step-by-Step Solution:

1. List the Weights:
   • 5, 3, 7, 6, 4
2. Identify the Smallest Weight:
   • Smallest: 3

Diagram:

  [3]
  5, 7, 6, 4

3. Next Smallest Weight:
   • After 3, the next smallest is 4.

Diagram:

3, [4]
5, 7, 6

4. Continue the Process:

Diagrams:

  3, 4, [5]
  7, 6

  3, 4, 5, [6]
  7

  3, 4, 5, 6, [7]

5. Final Arrangement:
   • Ascending Order: 3, 4, 5, 6, 7

Example 30: Arranging Amounts of Juice

Problem: The amounts of juice (in liters) in five bottles are 1.5 liters, 2.0 liters, 1.2 liters, 1.8 liters, and 1.3 liters. Arrange these amounts in ascending order.

Step-by-Step Solution:

1. List the Amounts:
   • 1.5, 2.0, 1.2, 1.8, 1.3
2. Identify the Smallest Amount:
   • Smallest: 1.2

Diagram:

  [1.2]
  1.5, 2.0, 1.8, 1.3

3. Next Smallest Amount:
   • After 1.2, the next smallest is 1.3.

Diagram:

  1.2, [1.3]
  1.5, 2.0, 1.8

4. Continue the Process:

Diagrams:

  1.2, 1.3, [1.5]
  2.0, 1.8

  1.2, 1.3, 1.5, [1.8]
  2.0

  1.2, 1.3, 1.5, 1.8, [2.0]

5. Final Arrangement:
   • Ascending Order: 1.2, 1.3, 1.5, 1.8, 2.0

Summary Diagrams for Each Example

Example 26: Prices of Items

  [$8]  $12, $15, $10, $13  ->  $8, [$10]  $12, $15, $13  ->  $8, $10, [$12]  $15, $13  ->  $8, $10, $12, [$13]  $15  ->  $8, $10, $12, $13, [$15]

Example 27: Number of Books Read

  [3]  5, 8, 7, 6  ->  3, [5]  8, 7, 6  ->  3, 5, [6]  8, 7  ->  3, 5, 6, [7]  8  ->  3, 5, 6, 7, [8]

Example 28: Time Spent on Activities

  [20]  30, 45, 25, 40  ->  20, [25]  30, 45, 40  ->  20, 25, [30]  45, 40  ->  20, 25, 30, [40]  45  ->  20, 25, 30, 40, [45]

Example 29: Weights of Backpacks

  [3]  5, 7, 6, 4  ->  3, [4]  5, 7, 6  ->  3, 4, [5]  7, 6  ->  3, 4, 5, [6]  7  ->  3, 4, 5, 6, [7]

Example 30: Amounts of Juice

  [1.2]  1.5, 2.0, 1.8, 1.3  ->  1.2, [1.3]  1.5, 2.0, 1.8  ->  1.2, 1.3, [1.5]  2.0, 1.8  ->  1.2, 1.3, 1.5, [1.8]  2.0

Example 31: Arranging Distances Traveled

Problem: The distances (in kilometers) traveled by five cars are 120 km, 80 km, 150 km, 100 km, and 130 km. Arrange these distances in ascending order.

Step-by-Step Solution:

1. List the Distances:
   • 120, 80, 150, 100, 130
2. Identify the Smallest Distance:
   • Smallest: 80

Diagram:

  [80]
  120, 150, 100, 130

3. Next Smallest Distance:
   • After 80, the next smallest is 100.

Diagram:

  80, [100]
  120, 150, 130

4. Continue the Process:

Diagrams:

  80, 100, [120]
  150, 130

  80, 100, 120, [130]
  150

  80, 100, 120, 130, [150]

5. Final Arrangement:
   • Ascending Order: 80, 100, 120, 130, 150

Example 32: Arranging Ages of Pets

Problem: The ages of five pets are 2 years, 5 years, 1 year, 3 years, and 4 years. Arrange these ages in ascending order.

Step-by-Step Solution:

1. List the Ages:
   • 2, 5, 1, 3, 4
2. Identify the Smallest Age:
   • Smallest: 1

Diagram:

  [1]
  2, 5, 3, 4

3. Next Smallest Age:
   • After 1, the next smallest is 2.

Diagram:

  1, [2]
  5, 3, 4

4. Continue the Process:

Diagrams:

  1, 2, [3]
  5, 4

  1, 2, 3, [4]
  5

  1, 2, 3, 4, [5]

5. Final Arrangement:
   • Ascending Order: 1, 2, 3, 4, 5

Example 33: Arranging Heights of Buildings

Problem: The heights of five buildings are 200 meters, 150 meters, 250 meters, 180 meters, and 220 meters. Arrange these heights in ascending order.

Step-by-Step Solution:

1. List the Heights:
   • 200, 150, 250, 180, 220
2. Identify the Smallest Height:
   • Smallest: 150

Diagram:

  [150]
  200, 250, 180, 220

3. Next Smallest Height:
   • After 150, the next smallest is 180.

Diagram:

  150, [180]
  200, 250, 220

4. Continue the Process:

Diagrams:

  150, 180, [200]
  250, 220

  150, 180, 200, [220]
  250

  150, 180, 200, 220, [250]

5. Final Arrangement:
   • Ascending Order: 150, 180, 200, 220, 250

Example 34: Arranging Salaries

Problem: The monthly salaries (in dollars) of five employees are $2500, $3000, $2000, $2700, and $3200. Arrange these salaries in ascending order.

Step-by-Step Solution:

1. List the Salaries:
   • $2500, $3000, $2000, $2700, $3200
2. Identify the Smallest Salary:
   • Smallest: $2000

Diagram:

  [$2000]
  $2500, $3000, $2700, $3200

3. Next Smallest Salary:
   • After $2000, the next smallest is $2500.

Diagram:

  $2000, [$2500]
  $3000, $2700, $3200

4. Continue the Process:

Diagrams:

  $2000, $2500, [$2700]
  $3000, $3200

  $2000, $2500, $2700, [$3000]
  $3200

  $2000, $2500, $2700, $3000, [$3200]

5. Final Arrangement:
   • Ascending Order: $2000, $2500, $2700, $3000, $3200

Example 35: Arranging Lengths of Ropes

Problem: The lengths (in meters) of five ropes are 8 meters, 5 meters, 10 meters, 7 meters, and 9 meters. Arrange these lengths in ascending order.

Step-by-Step Solution:

1. List the Lengths:
   • 8, 5, 10, 7, 9
2. Identify the Smallest Length:
   • Smallest: 5

Diagram:

  [5]
  8, 10, 7, 9

3. Next Smallest Length:
   • After 5, the next smallest is 7.

Diagram:

  5, [7]
  8, 10, 9

4. Continue the Process:

Diagrams:

  5, 7, [8]
  10, 9

  5, 7, 8, [9]
  10

  5, 7, 8, 9, [10]

5. Final Arrangement:
   • Ascending Order: 5, 7, 8, 9, 10

Example 36: Arranging Scores in a Test

Problem: The scores of five students in a test are 85, 92, 78, 88, and 95. Arrange these scores in ascending order.

Step-by-Step Solution:

1. List the Scores:
   • 85, 92, 78, 88, 95
2. Identify the Smallest Score:
   • Smallest: 78

Diagram:

  [78]
  85, 92, 88, 95

3. Next Smallest Score:
   • After 78, the next smallest is 85.

Diagram:

  78, [85]
  92, 88, 95

4. Continue the Process:

Diagrams:

  78, 85, [88]
  92, 95

  78, 85, 88, [92]
  95

  78, 85, 88, 92, [95]

5. Final Arrangement:
   • Ascending Order: 78, 85, 88, 92, 95

Example 37: Arranging Amounts of Money Saved

Problem: The amounts of money saved by five children are $20, $35, $15, $40, and $25. Arrange these amounts in ascending order.

Step-by-Step Solution:

1. List the Amounts:
   • $20, $35, $15, $40, $25
2. Identify the Smallest Amount:
   • Smallest: $15

Diagram:

  [$15]
  $20, $35, $40, $25

3. Next Smallest Amount:
   • After $15, the next smallest is $20.

Diagram:

  $15, [$20]
  $35, $40, $25

4. Continue the Process:

Diagrams:

  $15, $20, [$25]
  $35, $40

  $15, $20, $25, [$35]
  $40

  $15, $20, $25, $35, [$40]

5. Final Arrangement:
   • Ascending Order: $15, $20, $25, $35, $40

Example 38: Arranging Times to Complete a Task

Problem: The times (in minutes) taken by five people to complete a task are 45 minutes, 30 minutes, 60 minutes, 50 minutes, and 35 minutes. Arrange these times in ascending order.

Step-by-Step Solution:

1. List the Times:
   • 45, 30, 60, 50, 35
2. Identify the Smallest Time:
   • Smallest: 30

Diagram:

  [30]
  45, 60, 50, 35

3. Next Smallest Time:
   • After 30, the next smallest is 35.

Diagram:

  30, [35]
  45, 60, 50

4. Continue the Process:

Diagrams:

  30, 35, [45]
  60, 50

  30, 35, 45, [50]
  60

  30, 35, 45, 50, [60]

5. Final Arrangement:
   • Ascending Order: 30, 35, 45, 50, 60

Example 39: Arranging Numbers of Pages in Books

Problem: The numbers of pages in five books are 120 pages, 150 pages, 90 pages, 110 pages, and 130 pages. Arrange these numbers in ascending order.

Step-by-Step Solution:

1. List the Numbers of Pages:
   • 120, 150, 90, 110, 130
2. Identify the Smallest Number:
   • Smallest: 90

Diagram:

  [90]
  120, 150, 110, 130

3. Next Smallest Number:
   • After 90, the next smallest is 110.

Diagram:

  90, [110]
  120, 150, 130

4. Continue the Process:

Diagrams:

  90, 110, [120]
  150, 130

  90, 110, 120, [130]
  150

  90, 110, 120, 130, [150]

5. Final Arrangement:
   • Ascending Order: 90, 110, 120, 130, 150

Example 40: Arranging Heights of Trees

Problem: The heights of five trees are 15 meters, 12 meters, 18 meters, 14 meters, and 16 meters. Arrange these heights in ascending order.

Step-by-Step Solution:

1. List the Heights:
   • 15, 12, 18, 14, 16
2. Identify the Smallest Height:
   • Smallest: 12

Diagram:

  [12]
  15, 18, 14, 16

3. Next Smallest Height:
   • After 12, the next smallest is 14.

Diagram:

  12, [14]
  15, 18, 16

4. Continue the Process:

Diagrams:

  12, 14, [15]
  18, 16

  12, 14, 15, [16]
  18

  12, 14, 15, 16, [18]

5. Final Arrangement:
   • Ascending Order: 12, 14, 15, 16, 18

Summary Diagrams for Each Example

Example 36: Scores in a Test

  [78]  85, 92, 88, 95  ->  78, [85]  92, 88, 95  ->  78, 85, [88]  92, 95  ->  78, 85, 88, [92]  95  ->  78, 85, 88, 92, [95]

Example 37: Amounts of Money Saved

  [$15]  $20, $35, $40, $25  ->  $15, [$20]  $35, $40, $25  ->  $15, $20, [$25]  $35, $40  ->  $15, $20, $25, [$35]  $40  ->  $15, $20, $25, $35, [$40]

Example 38: Times to Complete a Task

  [30]  45, 60, 50, 35  ->  30, [35]  45, 60, 50  ->  30, 35, [45]  60, 50  ->  30, 35, 45, [50]  60  ->  30, 35, 45, 50, [60]

Example 39: Numbers of Pages in Books

  [90]  120, 150, 110, 130  ->  90, [110]  120, 150, 130  ->  90, 110, [120]  150, 130  ->  90, 110, 120, [130]  150  ->  90, 110, 120, 130, [150]

Example 40: Heights of Trees

  [12]  15, 18, 14, 16  ->  12, [14]  15, 18, 16  ->  12, 14, [15]  18, 16  ->  12, 14, 15, [16]  18  ->  12, 14, 15, 16, [18]