## 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

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

Diagram:

``````  5, [7]
12, 15, 10
``````
1. Continue the Process:

Diagrams:

``````5,  7,  [10]
12,  15
``````
````5, 7, 10, [12]`
`15````
``````
``````5, 7, 10, 12, [15]
``````
1. 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
``````
1. Next Smallest Score:
• After 15, the next smallest is 18.

Diagram:

``````15, [18]
22, 30, 25
``````
1. Continue the Process:

Diagrams:

``````15, 18, [22]
30, 25
``````
``````15, 18, 22, [25]
30
``````
``````15, 18, 22, 25, [30]
``````
1. 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
``````
1. Next Smallest Age:
• After 8, the next smallest is 9.

Diagram:

``````  8, [9]
11, 14, 12
``````
1. Continue the Process:

Diagrams:

``````  8, 9, [11]
14, 12
``````
``````8, 9, 11, [12]
14
``````
``````  8, 9, 11, 12, [14]
``````
1. 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
``````
1. Next Smallest Weight:
• After 20, the next smallest is 25.

Diagram:

``````  20, [25]
45, 35, 50
``````
1. Continue the Process:

Diagrams:

``````  20, 25, [35]
45, 50
``````
``````  20, 25, 35, [45]
50
``````
``````  20, 25, 35, 45, [50]
``````
1. 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
``````
1. Next Smallest Count:
• After 5, the next smallest is 8.

Diagram:

``````  5, [8]
13, 20, 15
``````
1. Continue the Process:

Diagrams:

``````  5, 8, [13]
20, 15
``````
`````` 5, 8, 13, [15]
20
``````
``````  5, 8, 13, 15, [20]
``````
1. 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
``````
1. Next Smallest Temperature:
• After 18, the next smallest is 20.

Diagram:

``````  18, [20]
22, 30, 25
``````
1. Continue the Process:

Diagrams:

``````  18, 20, [22]
30, 25
``````
``````  18, 20, 22, [25]
30
``````
``````  18, 20, 22, 25, [30]
``````
1. 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
``````
1. Next Smallest Page Number:
• After 85, the next smallest is 90.

Diagram:

``````  85, [90]
120, 115, 100
``````
1. Continue the Process:

Diagrams:

``````  85, 90, [100]
120, 115
``````
``````  85, 90, 100, [115]
120
```
```  85, 90, 100, 115, [120]
``````
1. 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
``````
1. Next Smallest Amount:
• After 20, the next smallest is 25.

Diagram:

``````  20, [25]
45, 35, 50
``````
1. Continue the Process:

Diagrams:

``````  20, 25, [35]
45, 50
```
```  20, 25, 35, [45]
50
``````
``````  20, 25, 35, 45, [50]
``````
1. 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
``````
1. Next Smallest Distance:
• After 5, the next smallest is 10.

Diagram:

``````  5, [10]
25, 15, 20
``````
1. Continue the Process:

Diagrams:

``````  5, 10, [15]
25, 20
``````
``````  5, 10, 15, [20]
25
``````
``````  5, 10, 15, 20, [25]
``````
1. 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
``````
1. Next Smallest Score:
• After 72, the next smallest is 75.

Diagram:

``````  72, [75]
88, 95, 80
``````
1. Continue the Process:

Diagrams:

``````  72, 75, [80]
88, 95
``````
``````  72, 75, 80, [88]
95
``````
``````  72, 75, 80, 88, [95]
``````
1. 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
``````
1. Next Smallest Size:
• After 5, the next smallest is 6.

Diagram:

``````  5, [6]
7, 9, 8
``````
1. Continue the Process:

Diagrams:

``````  5, 6, [7]
9, 8
``````
``````  5, 6, 7, [8]
9
```
```  5, 6, 7, 8, [9]
``````
1. 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
``````
1. Next Smallest Length:
• After 9, the next smallest is 11.

Diagram:

``````  9, [11]
12, 15, 14
``````
1. Continue the Process:

Diagrams:

``````  9, 11, [12]
15, 14
``````
``````  9, 11, 12, [14]
15
``````
``````  9, 11, 12, 14, [15]
``````
1. 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
``````
1. Next Smallest Weight:
• After 180, the next smallest is 200.

Diagram:

``````  180, [200]
250, 220, 270
``````
1. Continue the Process:

Diagrams:

``````  180, 200, [220], 250
270
``````
``````  180, 200, 220, [250]
270
``````
``````  180, 200, 220, 250, [270]
``````
1. 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
``````
1. Next Smallest Age:
• After 1, the next smallest is 2.

Diagram:

``````  1, [2]
3, 5, 4
``````
1. Continue the Process:

Diagrams:

``````  1, 2, [3]
5, 4
```
```  1, 2, 3, [4]
5
``````
``````  1, 2, 3, 4, [5]
``````
1. 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
``````
1. Next Smallest Time:
• After 40, the next smallest is 45.

Diagram:` `

40, [45]
50, 55, 48

1. Continue the Process:

Diagrams:

``````  40, 45, [48]
50, 55
``````
``````  40, 45, 48, [50]
55
``````
``````  40, 45, 48, 50, [55]
``````
1. 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
``````
1. Next Smallest Height:
• After 28, the next smallest is 30.

Diagram:

``````  28, [30]
35, 45, 40
``````
1. Continue the Process:

Diagrams:

``````  28, 30, [35]
45, 40
``````
``````  28, 30, 35, [40]
45
``````
``````  28, 30, 35, 40, [45]
``````
1. 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
``````
1. Next Smallest Score:
• After 50, the next smallest is 55.

Diagram:

``````  50, [55]
60, 65, 58
``````
1. Continue the Process:

Diagrams:

``````  50, 55, [58]
60, 65
``````
``````  50, 55, 58, [60]
65
``````
``````  50, 55, 58, 60, [65]
``````
1. 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
``````
1. Next Smallest Distance:
• After 12, the next smallest is 15.

Diagram:

``````  12, [15]
18, 20, 17
``````
1. Continue the Process:

Diagrams:

``````  12, 15, [17]
18, 20
``````
``````  12, 15, 17, [18]
20
``````
``````  12, 15, 17, 18, [20]
``````
1. 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
``````
1. Next Smallest Amount:
• After 0.8, the next smallest is 1.0.

Diagram:

``````  0.8, [1.0]
1.2, 1.5, 1.3
``````
1. 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]
``````
1. 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
``````
1. Next Smallest Number:
• After 120, the next smallest is 140.

Diagram:

``````  120, [140]
150, 180, 160
``````
1. Continue the Process:

Diagrams:

``````  120, 140, [150]
180, 160
``````
``````  120, 140, 150, [160]
180
``````
``````  120, 140, 150, 160, [180]
``````
1. 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
``````
1. Next Smallest Weight:
• After 280, the next smallest is 300.

Diagram:

``````  280, [300]
350, 450, 400
``````
1. Continue the Process:

Diagrams:

``````  280, 300, [350]
450, 400
``````
``````  280, 300, 350, [400]
450
``````
``````  280, 300, 350, 400, [450]
``````
1. 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
``````
1. Next Smallest Temperature:
• After 18, the next smallest is 20.

Diagram:

``````  18, [20]
22, 25, 23
``````
1. Continue the Process:

Diagrams:

``````  18, 20, [22]
25, 23
``````
``````  18, 20, 22, [23]
25
``````
``````  18, 20, 22, 23, [25]
``````
1. 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
``````
1. Next Smallest Age:
• After 8, the next smallest is 10.

Diagram:

``````  8, [10]
12, 15, 13
``````
1. Continue the Process:

Diagrams:

``````  8, 10, [12]
15, 13
``````
``````  8, 10, 12, [13]
15
``````
``````  8, 10, 12, 13, [15]
``````
1. 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
``````
1. Next Smallest Score:
• After 69, the next smallest is 74.

Diagram:

``````  69, [74]
78, 85, 80
``````
1. Continue the Process:

Diagrams:

``````  69, 74, [78]
85, 80
``````
``````  69, 74, 78, [80]
85
``````
``````  69, 74, 78, 80, [85]
``````
1. 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
``````
1. Next Smallest Weight:
• After 120, the next smallest is 140.

Diagram:

``````  120, [140]
150, 180, 160
``````
1. Continue the Process:

Diagrams:

``````  120, 140, [150]
180, 160
``````
``````  120, 140, 150, [160]
180
``````
``````  120, 140, 150, 160, [180]
``````
1. 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
``````
1. Next Smallest Price:
• After \$8, the next smallest is \$10.

Diagram:

``````  \$8, [\$10]
\$12, \$15, \$13
``````
1. Continue the Process:

Diagrams:

``````  \$8, \$10, [\$12]
\$15, \$13
``````
``````  \$8, \$10, \$12, [\$13]
\$15
``````
``````  \$8, \$10, \$12, \$13, [\$15]
``````
1. 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
``````
1. Next Smallest Number:
• After 3, the next smallest is 5.

Diagram:

``````  3, [5]
8, 7, 6
``````
1. Continue the Process:

Diagrams:

``````  3, 5, [6]
8, 7
``````
``````  3, 5, 6, [7]
8
``````
``````  3, 5, 6, 7, [8]
``````
1. 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
``````
1. Next Smallest Time:
• After 20, the next smallest is 25.

Diagram:

``````  20, [25]
30, 45, 40
``````
1. Continue the Process:

Diagrams:

``````  20, 25, [30]
45, 40
``````
``````  20, 25, 30, [40]
45
``````
``````  20, 25, 30, 40, [45]
``````
1. 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
``````
1. Next Smallest Weight:
• After 3, the next smallest is 4.

Diagram:

3, [4]
5, 7, 6

1. Continue the Process:

Diagrams:

``````  3, 4, [5]
7, 6
``````
``````  3, 4, 5, [6]
7
``````
``````  3, 4, 5, 6, [7]
``````
1. 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
``````
1. Next Smallest Amount:
• After 1.2, the next smallest is 1.3.

Diagram:

``````  1.2, [1.3]
1.5, 2.0, 1.8
``````
1. 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]
``````
1. 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
``````
1. Next Smallest Distance:
• After 80, the next smallest is 100.

Diagram:

``````  80, [100]
120, 150, 130
``````
1. Continue the Process:

Diagrams:

``````  80, 100, [120]
150, 130
``````
``````  80, 100, 120, [130]
150
``````
``````  80, 100, 120, 130, [150]
``````
1. 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
``````
1. Next Smallest Age:
• After 1, the next smallest is 2.

Diagram:

``````  1, [2]
5, 3, 4
``````
1. Continue the Process:

Diagrams:

``````  1, 2, [3]
5, 4
``````
``````  1, 2, 3, [4]
5
``````
``````  1, 2, 3, 4, [5]
``````
1. 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
``````
1. Next Smallest Height:
• After 150, the next smallest is 180.

Diagram:

``````  150, [180]
200, 250, 220
``````
1. Continue the Process:

Diagrams:

``````  150, 180, [200]
250, 220
``````
``````  150, 180, 200, [220]
250
``````
``````  150, 180, 200, 220, [250]
``````
1. 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
``````
1. Next Smallest Salary:
• After \$2000, the next smallest is \$2500.

Diagram:

``````  \$2000, [\$2500]
\$3000, \$2700, \$3200
``````
1. Continue the Process:

Diagrams:

``````  \$2000, \$2500, [\$2700]
\$3000, \$3200
``````
``````  \$2000, \$2500, \$2700, [\$3000]
\$3200
``````
``````  \$2000, \$2500, \$2700, \$3000, [\$3200]
``````
1. 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
``````
1. Next Smallest Length:
• After 5, the next smallest is 7.

Diagram:

``````  5, [7]
8, 10, 9
``````
1. Continue the Process:

Diagrams:

``````  5, 7, [8]
10, 9
``````
``````  5, 7, 8, [9]
10
```
```  5, 7, 8, 9, [10]
``````
1. 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
``````
1. Next Smallest Score:
• After 78, the next smallest is 85.

Diagram:

``````  78, [85]
92, 88, 95
``````
1. Continue the Process:

Diagrams:

``````  78, 85, [88]
92, 95
``````
``````  78, 85, 88, [92]
95
``````
``````  78, 85, 88, 92, [95]
``````
1. 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
``````
1. Next Smallest Amount:
• After \$15, the next smallest is \$20.

Diagram:

``````  \$15, [\$20]
\$35, \$40, \$25
``````
1. Continue the Process:

Diagrams:

``````  \$15, \$20, [\$25]
\$35, \$40
``````
``````  \$15, \$20, \$25, [\$35]
\$40
``````
``````  \$15, \$20, \$25, \$35, [\$40]
``````
1. 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
``````
1. Next Smallest Time:
• After 30, the next smallest is 35.

Diagram:

``````  30, [35]
45, 60, 50
``````
1. Continue the Process:

Diagrams:

``````  30, 35, [45]
60, 50
``````
``````  30, 35, 45, [50]
60
``````
``````  30, 35, 45, 50, [60]
``````
1. 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
``````
1. Next Smallest Number:
• After 90, the next smallest is 110.

Diagram:

``````  90, [110]
120, 150, 130
``````
1. Continue the Process:

Diagrams:

``````  90, 110, [120]
150, 130
``````
``````  90, 110, 120, [130]
150
``````
``````  90, 110, 120, 130, [150]
``````
1. 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
``````
1. Next Smallest Height:
• After 12, the next smallest is 14.

Diagram:

``````  12, [14]
15, 18, 16
``````
1. Continue the Process:

Diagrams:

``````  12, 14, [15]
18, 16
``````
``````  12, 14, 15, [16]
18
``````
``````  12, 14, 15, 16, [18]
``````
1. 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]`
```