# Ascending Order Word Problems For Kids

**Ascending Order Word Problems for Kids**

#### Step-by-Step Explanation

**Introduction to Ascending Order****Definition:**Ascending order means arranging numbers from the smallest to the largest.**Example:**3, 5, 8, 12, 20.

**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:**

- List the numbers: 4, 1, 7, 3, 9
- Identify the smallest number: 1
- Cross out 1 and find the next smallest: 3
- 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

**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:**

- List: 10, 2, 8, 5, 1
- Identify smallest: 1
- Next: 2
- Next: 5
- Next: 8
- 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:**

**List the Heights:**- 12, 7, 15, 10, 5

**Identify the Smallest Height:**- Smallest: 5

**Diagram:**

` `**[5]
12, 7, 15, 10
**

**Next Smallest Height:**- After 5, the next smallest is 7.

**Diagram:**

` `**5, [7]
12, 15, 10**

**Continue the Process:**

**Diagrams:**

**5, 7, [10]
12, 15**

`5, 7, 10, [12]`

`15`

**5, 7, 10, 12, [15]**

**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:**

**List the Scores:**- 22, 30, 15, 18, 25

**Identify the Smallest Score:**- Smallest: 15

**Diagram:**

`[15]`

`22, 30, 18, 25`

**Next Smallest Score:**- After 15, the next smallest is 18.

**Diagram:**

**15, [18]
22, 30, 25**

**Continue the Process:**

**Diagrams:**

**15, 18, [22]
30, 25**

**15, 18, 22, [25]
30**

**15, 18,** **22, 25, [30]**

**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:**

**List the Ages:**- 11, 8, 14, 9, 12

**Identify the Smallest Age:**- Smallest: 8

**Diagram:**

` `**[8]
11, 14, 9, 12**

**Next Smallest Age:**- After 8, the next smallest is 9.

**Diagram:**

` `**8, [9]
11, 14, 12**

**Continue the Process:**

**Diagrams:**

` `**8, 9, [11]
14, 12**

**8, 9, 11, [12]
14**

` `**8, 9, 11, 12,** **[14]**

**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:**

**List the Weights:**- 45, 20, 35, 25, 50

**Identify the Smallest Weight:**- Smallest: 20

**Diagram:**

` `**[20]
45, 35, 25, 50**

**Next Smallest Weight:**- After 20, the next smallest is 25.

**Diagram:**

` `**20, [25]
45, 35, 50**

**Continue the Process:**

**Diagrams:**

` `**20, 25, [35]
45, 50**

` `**20, 25, 35, [45]
50**

` `**20, 25, 35, 45, [50]**

**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:**

**List the Candy Counts:**- 13, 5, 8, 20, 15

**Identify the Smallest Count:**- Smallest: 5

**Diagram:**

` `**[5]
13, 8, 20, 15**

**Next Smallest Count:**- After 5, the next smallest is 8.

**Diagram:**

` `**5, [8]
13, 20, 15**

**Continue the Process:**

**Diagrams:**

` `**5, 8, [13]
20, 15**

` `**5, 8, 13, [15]
20**

` `**5, 8, 13, 15, [20]
**

**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:**

**List the Temperatures:**- 22, 18, 30, 25, 20

**Identify the Smallest Temperature:**- Smallest: 18

**Diagram:**

` `**[18]
22, 30, 25, 20**

**Next Smallest Temperature:**- After 18, the next smallest is 20.

**Diagram:**

` `**18, [20]
22, 30, 25**

**Continue the Process:**

**Diagrams:**

` `**18, 20, [22]
30, 25**

` `**18, 20, 22, [25]
30**

` `**18, 20, 22, 25, [30]**

**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:**

**List the Page Numbers:**- 120, 85, 90, 115, 100

**Identify the Smallest Page Number:**- Smallest: 85

**Diagram:**

` `**[85]
120, 90, 115, 100**

**Next Smallest Page Number:**- After 85, the next smallest is 90.

**Diagram:**

` `**85, [90]
120, 115, 100**

**Continue the Process:**

**Diagrams:**

` `**85, 90, [100]
120, 115**

85, 90, 100, [115] 120

85, 90, 100, 115, [120]

**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:**

**List the Amounts:**- 45, 20, 35, 25, 50

**Identify the Smallest Amount:**- Smallest: 20

**Diagram:**

` `**[20]
45, 35, 25, 50**

**Next Smallest Amount:**- After 20, the next smallest is 25.

**Diagram:**

` `**20, [25]
45, 35, 50**

**Continue the Process:**

**Diagrams:**

20, 25, [35] 45, 50

20, 25, 35, [45] 50

` `**20, 25, 35, 45, [50]**

**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:**

**List the Distances:**- 10, 25, 15, 20, 5

**Identify the Smallest Distance:**- Smallest: 5

**Diagram:**

` `**[5]
10, 25, 15, 20
**

**Next Smallest Distance:**- After 5, the next smallest is 10.

**Diagram:**

` `**5, [10]
25, 15, 20**

**Continue the Process:**

**Diagrams:**

` `** 5, 10, [15]
25, 20**

` `**5, 10, 15, [20]
25**

` `**5, 10, 15, 20, [25]**

**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:**

**List the Scores:**- 72, 88, 75, 95, 80

**Identify the Smallest Score:**- Smallest: 72

**Diagram:**

` `**[72]
88, 75, 95, 80**

**Next Smallest Score:**- After 72, the next smallest is 75.

**Diagram:**

` `**72, [75]
88, 95, 80**

**Continue the Process:**

**Diagrams:**

` `**72, 75, [80]
88, 95**

` `**72, 75, 80, [88]
95**

` `**72, 75, 80, 88, [95]**

**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:**

**List the Shoe Sizes:**- 7, 5, 9, 6, 8

**Identify the Smallest Size:**- Smallest: 5

**Diagram:**

` `**[5]
7, 9, 6, 8**

**Next Smallest Size:**- After 5, the next smallest is 6.

**Diagram:**

` `**5, [6]
7, 9, 8**

**Continue the Process:**

**Diagrams:**

` `**5, 6, [7]
9, 8**

5, 6, 7, [8] 9

5, 6, 7, 8, [9]

**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:**

**List the Pencil Lengths:**- 12, 9, 15, 11, 14

**Identify the Smallest Length:**- Smallest: 9

**Diagram:**

` `**[9]
12, 15, 11, 14**

**Next Smallest Length:**- After 9, the next smallest is 11.

**Diagram:**

` `**9, [11]
12, 15, 14**

**Continue the Process:**

**Diagrams:**

` `**9, 11, [12]
15, 14**

` `**9, 11, 12, [14]
15**

` `**9, 11, 12, 14, [15]**

**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:**

**List the Fruit Weights:**- 250, 180, 220, 200, 270

**Identify the Smallest Weight:**- Smallest: 180

**Diagram:**

` `**[180]
250, 220, 200, 270**

**Next Smallest Weight:**- After 180, the next smallest is 200.

**Diagram:**

` `**180, [200]
250, 220, 270**

**Continue the Process:**

**Diagrams:**

` `**180, 200, [220], 250
270**

` `**180, 200, 220, [250]
270**

` `**180, 200, 220, 250, [270]**

**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:**

**List the Pet Ages:**- 3, 1, 5, 2, 4

**Identify the Smallest Age:**- Smallest: 1

**Diagram:**

` `**[1]
3, 5, 2, 4**

**Next Smallest Age:**- After 1, the next smallest is 2.

**Diagram:**

` `**1, [2]
3, 5, 4**

**Continue the Process:**

**Diagrams:**

1, 2, [3] 5, 4

1, 2, 3, [4] 5

` `**1, 2, 3, 4, [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:**

**List the Running Times:**- 45, 50, 40, 55, 48

**Identify the Smallest Time:**- Smallest: 40

**Diagram:**

` `**[40]
45, 50, 55, 48**

**Next Smallest Time:**- After 40, the next smallest is 45.

**Diagram:**` `

**40, [45]50, 55, 48**

**Continue the Process:**

**Diagrams:**

` `**40, 45, [48]
50, 55**

` `**40, 45, 48, [50]
55**

` `**40, 45, 48, 50, [55]**

**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:**

**List the Heights:**- 35, 28, 45, 30, 40

**Identify the Smallest Height:**- Smallest: 28

**Diagram:**

` `**[28]
35, 45, 30, 40**

**Next Smallest Height:**- After 28, the next smallest is 30.

**Diagram:**

` `**28, [30]
35, 45, 40**

**Continue the Process:**

**Diagrams:**

` `**28, 30, [35]
45, 40**

` `**28, 30, 35, [40]
45**

` `**28, 30, 35, 40, [45]**

**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:**

**List the Scores:**- 55, 60, 50, 65, 58

**Identify the Smallest Score:**- Smallest: 50

**Diagram:**

` `** [50]
55, 60, 65, 58**

**Next Smallest Score:**- After 50, the next smallest is 55.

**Diagram:**

` `**50, [55]
60, 65, 58**

**Continue the Process:**

**Diagrams:**

` `**50, 55, [58]
60, 65**

` `**50, 55, 58, [60]
65**

` `**50, 55, 58, 60, [65]**

**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:**

**List the Distances:**- 12, 18, 15, 20, 17

**Identify the Smallest Distance:**- Smallest: 12

**Diagram:**

` `**[12]
18, 15, 20, 17**

**Next Smallest Distance:**- After 12, the next smallest is 15.

**Diagram:**

` `**12, [15]
18, 20, 17**

**Continue the Process:**

**Diagrams:**

` `**12, 15, [17]
18, 20**

` `**12, 15, 17, [18]
20**

` `**12, 15, 17, 18, [20]**

**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:**

**List the Amounts:**- 1.2, 0.8, 1.5, 1.0, 1.3

**Identify the Smallest Amount:**- Smallest: 0.8

**Diagram:**

` `**[0.8]
1.2, 1.5, 1.0, 1.3**

**Next Smallest Amount:**- After 0.8, the next smallest is 1.0.

**Diagram:**

` `**0.8, [1.0]
1.2, 1.5, 1.3**

**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]
**

**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:**

**List the Number of Pages:**- 150, 120, 180, 140, 160

**Identify the Smallest Number:**- Smallest: 120

**Diagram:**

` `**[120]
150, 180, 140, 160**

**Next Smallest Number:**- After 120, the next smallest is 140.

**Diagram:**

` `**120, [140]
150, 180, 160**

**Continue the Process:**

**Diagrams:**

` `**120, 140, [150]
180, 160**

` `**120, 140, 150, [160]
180**

` `**120, 140, 150, 160, [180]
**

**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:**

**List the Weights:**- 350, 280, 450, 300, 400

**Identify the Smallest Weight:**- Smallest: 280

**Diagram:**

` `**[280]
350, 450, 300, 400**

**Next Smallest Weight:**- After 280, the next smallest is 300.

**Diagram:**

` `**280, [300]
350, 450, 400**

**Continue the Process:**

**Diagrams:**

` `**280, 300, [350]
450, 400**

` `**280, 300, 350, [400]
450**

` `**280, 300, 350, 400, [450]**

**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:**

**List the Temperatures:**- 22, 18, 25, 20, 23

**Identify the Smallest Temperature:**- Smallest: 18

**Diagram:**

` `**[18]
22, 25, 20, 23**

**Next Smallest Temperature:**- After 18, the next smallest is 20.

**Diagram:**

` `**18, [20]
22, 25, 23**

**Continue the Process:**

**Diagrams:**

` `**18, 20, [22]
25, 23**

` `**18, 20, 22, [23]
25**

` `**18, 20, 22, 23, [25]**

**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:**

**List the Ages:**- 12, 8, 15, 10, 13

**Identify the Smallest Age:**- Smallest: 8

**Diagram:**

` `**[8]
12, 15, 10, 13**

**Next Smallest Age:**- After 8, the next smallest is 10.

**Diagram:**

` `**8, [10]
12, 15, 13**

**Continue the Process:**

**Diagrams:**

` `** 8, 10, [12]
15, 13**

` `**8, 10, 12, [13]
15**

` `**8, 10, 12, 13, [15]**

**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:**

**List the Scores:**- 78, 85, 69, 74, 80

**Identify the Smallest Score:**- Smallest: 69

**Diagram:**

` `**[69]
78, 85, 74, 80
**

**Next Smallest Score:**- After 69, the next smallest is 74.

**Diagram:**

` `**69, [74]
78, 85, 80**

**Continue the Process:**

**Diagrams:**

` `**69, 74, [78]
85, 80**

` `**69, 74, 78, [80]
85**

` `**69, 74, 78, 80, [85]**

**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:**

**List the Weights:**- 150, 120, 180, 140, 160

**Identify the Smallest Weight:**- Smallest: 120

**Diagram:**

` `**[120]
150, 180, 140, 160
**

**Next Smallest Weight:**- After 120, the next smallest is 140.

**Diagram:**

` `**120, [140]
150, 180, 160
**

**Continue the Process:**

**Diagrams:**

` `**120, 140, [150]
180, 160**

` `**120, 140, 150, [160]
180**

` `**120, 140, 150, 160, [180]**

**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:**

**List the Prices:**- $12, $8, $15, $10, $13

**Identify the Smallest Price:**- Smallest: $8

**Diagram:**

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

**Next Smallest Price:**- After $8, the next smallest is $10.

**Diagram:**

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

**Continue the Process:**

**Diagrams:**

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

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

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

**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:**

**List the Number of Books:**- 5, 8, 3, 7, 6

**Identify the Smallest Number:**- Smallest: 3

**Diagram:**

` `**[3]
5, 8, 7, 6**

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

**Diagram:**

` `**3, [5]
8, 7, 6**

**Continue the Process:**

**Diagrams:**

` `**3, 5, [6]
8, 7**

` `**3, 5, 6, [7]
8**

` `**3, 5, 6, 7, [8]**

**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:**

**List the Times:**- 30, 20, 45, 25, 40

**Identify the Smallest Time:**- Smallest: 20

**Diagram:**

` `**[20]**
**30, 45, 25, 40**

**Next Smallest Time:**- After 20, the next smallest is 25.

**Diagram:**

` `**20, [25]
30, 45, 40**

**Continue the Process:**

**Diagrams:**

` `**20, 25, [30]
45, 40**

` `**20, 25, 30, [40]
45**

` `**20, 25, 30, 40, [45]**

**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:**

**List the Weights:**- 5, 3, 7, 6, 4

**Identify the Smallest Weight:**- Smallest: 3

**Diagram:**

` `**[3]
5, 7, 6, 4**

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

**Diagram:**

**3, [4]5, 7, 6**

**Continue the Process:**

**Diagrams:**

` `**3, 4, [5]
7, 6**

` `**3, 4, 5, [6]
7**

` `**3, 4, 5, 6, [7]**

**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:**

**List the Amounts:**- 1.5, 2.0, 1.2, 1.8, 1.3

**Identify the Smallest Amount:**- Smallest: 1.2

**Diagram:**

` `**[1.2]
1.5, 2.0, 1.8, 1.3**

**Next Smallest Amount:**- After 1.2, the next smallest is 1.3.

**Diagram:**

` `**1.2, [1.3]
1.5, 2.0, 1.8**

**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]**

**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:**

**List the Distances:**- 120, 80, 150, 100, 130

**Identify the Smallest Distance:**- Smallest: 80

**Diagram:**

` `**[80]
120, 150, 100, 130**

**Next Smallest Distance:**- After 80, the next smallest is 100.

**Diagram:**

` `**80, [100]
120, 150, 130**

**Continue the Process:**

**Diagrams:**

` `**80, 100, [120]
150, 130**

` `**80, 100, 120, [130]
150**

` `**80, 100, 120, 130, [150]**

**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:**

**List the Ages:**- 2, 5, 1, 3, 4

**Identify the Smallest Age:**- Smallest: 1

**Diagram:**

` `**[1]
2, 5, 3, 4**

**Next Smallest Age:**- After 1, the next smallest is 2.

**Diagram:**

` `**1, [2]
5, 3, 4**

**Continue the Process:**

**Diagrams:**

` `**1, 2, [3]
5, 4**

` `**1, 2, 3, [4]
5**

` `**1, 2, 3, **4, [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:**

**List the Heights:**- 200, 150, 250, 180, 220

**Identify the Smallest Height:**- Smallest: 150

**Diagram:**

` `**[150]
200, 250, 180, 220**

**Next Smallest Height:**- After 150, the next smallest is 180.

**Diagram:**

` `**150, [180]
200, 250, 220**

**Continue the Process:**

**Diagrams:**

` `**150, 180, [200]
250, 220**

` `**150, 180, 200, [220]
250**

` `**150, 180, 200, 220, [250]
**

**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:**

**List the Salaries:**- $2500, $3000, $2000, $2700, $3200

**Identify the Smallest Salary:**- Smallest: $2000

**Diagram:**

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

**Next Smallest Salary:**- After $2000, the next smallest is $2500.

**Diagram:**

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

**Continue the Process:**

**Diagrams:**

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

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

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

**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:**

**List the Lengths:**- 8, 5, 10, 7, 9

**Identify the Smallest Length:**- Smallest: 5

**Diagram:**

` `**[5]
8, 10, 7, 9**

**Next Smallest Length:**- After 5, the next smallest is 7.

**Diagram:**

` `** 5, [7]
8, 10, 9**

**Continue the Process:**

**Diagrams:**

` `**5, 7, [8]
10, 9**

5, 7, 8, [9] 10

5, 7, 8, 9, [10]

**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:**

**List the Scores:**- 85, 92, 78, 88, 95

**Identify the Smallest Score:**- Smallest: 78

**Diagram:**

` `**[78]
85, 92, 88, 95**

**Next Smallest Score:**- After 78, the next smallest is 85.

**Diagram:**

` `**78, [85]
92, 88, 95**

**Continue the Process:**

**Diagrams:**

` `**78, 85, [88]
92, 95**

` `**78, 85, 88, [92]
95**

` `**78, 85, 88, 92, [95]**

**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:**

**List the Amounts:**- $20, $35, $15, $40, $25

**Identify the Smallest Amount:**- Smallest: $15

**Diagram:**

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

**Next Smallest Amount:**- After $15, the next smallest is $20.

**Diagram:**

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

**Continue the Process:**

**Diagrams:**

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

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

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

**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:**

**List the Times:**- 45, 30, 60, 50, 35

**Identify the Smallest Time:**- Smallest: 30

**Diagram:**

` `**[30]
45, 60, 50, 35
**

**Next Smallest Time:**- After 30, the next smallest is 35.

**Diagram:**

` `**30, [35]
45, 60, 50**

**Continue the Process:**

**Diagrams:**

` `**30,** **35, [45]
60, 50**

` `**30, 35, 45, [50]
60**

` `**30, 35, 45, 50, [60]**

**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:**

**List the Numbers of Pages:**- 120, 150, 90, 110, 130

**Identify the Smallest Number:**- Smallest: 90

**Diagram:**

` `**[90]
120, 150, 110, 130**

**Next Smallest Number:**- After 90, the next smallest is 110.

**Diagram:**

` `**90, [110]
120, 150, 130**

**Continue the Process:**

**Diagrams:**

` `**90, 110, [120]
150, 130**

` `** 90, 110, 120, [130]
150**

` `**90, 110, 120, 130, [150]**

**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:**

**List the Heights:**- 15, 12, 18, 14, 16

**Identify the Smallest Height:**- Smallest: 12

**Diagram:**

` `**[12]
15, 18, 14, 16**

**Next Smallest Height:**- After 12, the next smallest is 14.

**Diagram:**

` `**12, [14]
15, 18, 16**

**Continue the Process:**

**Diagrams:**

` `**12, 14, [15]
18, 16**

` `**12, 14, 15, [16]
18**

` `**12, 14, 15, 16, [18]
**

**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]**