Ordering decimals (1-2 digits) worksheets | Worsheets library - Free Printable

Problem Description:

The task is to order the given sets of decimal numbers from smallest to largest. This involves comparing decimal numbers and arranging them in ascending order.

Solution Approach:

1. Understand the Structure: Each section (e.g., 1), 2), 3), etc.) contains a set of decimal numbers.
2. Compare Decimal Numbers:
- Start by comparing the whole number part first.
- If the whole number parts are the same, compare the decimal parts digit by digit.
3. Arrange in Ascending Order: Write the numbers from smallest to largest for each set.

Step-by-Step Solution:

#### Section 1:
Numbers: 58.4, 54.4, 13.15, 16.83, 13.09

- Compare the whole number parts:
- 13.15 and 13.09 have the smallest whole number part (13).
- Next, compare 16.83 (whole number part 16).
- Then, compare 54.4 (whole number part 54).
- Finally, 58.4 has the largest whole number part (58).

- Compare decimal parts for numbers with the same whole number part:
- For 13.15 and 13.09: 0.09 < 0.15, so 13.09 < 13.15.

- Ordered list: 13.09, 13.15, 16.83, 54.4, 58.4

#### Section 2:
Numbers: 30.2, 4.86, 76.3, 53.7, 31.29

- Compare the whole number parts:
- 4.86 has the smallest whole number part (4).
- Next, 30.2 (whole number part 30).
- Then, 31.29 (whole number part 31).
- Followed by 53.7 (whole number part 53).
- Finally, 76.3 has the largest whole number part (76).

- Ordered list: 4.86, 30.2, 31.29, 53.7, 76.3

#### Section 3:
Numbers: 2.36, 7.53, 45.5, 12.73, 39.2

- Compare the whole number parts:
- 2.36 has the smallest whole number part (2).
- Next, 7.53 (whole number part 7).
- Then, 12.73 (whole number part 12).
- Followed by 39.2 (whole number part 39).
- Finally, 45.5 has the largest whole number part (45).

- Ordered list: 2.36, 7.53, 12.73, 39.2, 45.5

#### Section 4:
Numbers: 3.33, 3.78, 35.51, 337.17, 34.2

- Compare the whole number parts:
- 3.33 and 3.78 have the smallest whole number part (3).
- Next, 34.2 (whole number part 34).
- Then, 35.51 (whole number part 35).
- Finally, 337.17 has the largest whole number part (337).

- Compare decimal parts for numbers with the same whole number part:
- For 3.33 and 3.78: 0.33 < 0.78, so 3.33 < 3.78.

- Ordered list: 3.33, 3.78, 34.2, 35.51, 337.17

#### Section 5:
Numbers: 37.69, 25.51, 34.46, 36.40, 85.2

- Compare the whole number parts:
- 25.51 has the smallest whole number part (25).
- Next, 34.46 (whole number part 34).
- Then, 36.40 (whole number part 36).
- Followed by 37.69 (whole number part 37).
- Finally, 85.2 has the largest whole number part (85).

- Ordered list: 25.51, 34.46, 36.40, 37.69, 85.2

#### Section 6:
Numbers: 10.17, 5.7, 55.7, 10.21, 55.87

- Compare the whole number parts:
- 5.7 has the smallest whole number part (5).
- Next, 10.17 and 10.21 have the same whole number part (10).
- Then, 55.7 (whole number part 55).
- Finally, 55.87 has the largest whole number part (55).

- Compare decimal parts for numbers with the same whole number part:
- For 10.17 and 10.21: 0.17 < 0.21, so 10.17 < 10.21.

- Ordered list: 5.7, 10.17, 10.21, 55.7, 55.87

#### Section 7:
Numbers: 102.8, 24.7, 129.7, 40.89, 66.4

- Compare the whole number parts:
- 24.7 has the smallest whole number part (24).
- Next, 40.89 (whole number part 40).
- Then, 66.4 (whole number part 66).
- Followed by 102.8 (whole number part 102).
- Finally, 129.7 has the largest whole number part (129).

- Ordered list: 24.7, 40.89, 66.4, 102.8, 129.7

#### Section 8:
Numbers: 121.6, 171.7, 105.10, 189.6, 28.50

- Compare the whole number parts:
- 28.50 has the smallest whole number part (28).
- Next, 105.10 (whole number part 105).
- Then, 121.6 (whole number part 121).
- Followed by 171.7 (whole number part 171).
- Finally, 189.6 has the largest whole number part (189).

- Ordered list: 28.50, 105.10, 121.6, 171.7, 189.6

#### Section 9:
Numbers: 5.27, 25.1, 40.01, 78.2, 70.2

- Compare the whole number parts:
- 5.27 has the smallest whole number part (5).
- Next, 25.1 (whole number part 25).
- Then, 40.01 (whole number part 40).
- Followed by 70.2 (whole number part 70).
- Finally, 78.2 has the largest whole number part (78).

- Ordered list: 5.27, 25.1, 40.01, 70.2, 78.2

Final Answer:

\[
\boxed{
\begin{array}{l}
1) \text{13.09, 13.15, 16.83, 54.4, 58.4} \\
2) \text{4.86, 30.2, 31.29, 53.7, 76.3} \\
3) \text{2.36, 7.53, 12.73, 39.2, 45.5} \\
4) \text{3.33, 3.78, 34.2, 35.51, 337.17} \\
5) \text{25.51, 34.46, 36.40, 37.69, 85.2} \\
6) \text{5.7, 10.17, 10.21, 55.7, 55.87} \\
7) \text{24.7, 40.89, 66.4, 102.8, 129.7} \\
8) \text{28.50, 105.10, 121.6, 171.7, 189.6} \\
9) \text{5.27, 25.1, 40.01, 70.2, 78.2}
\end{array}
}
\]