Ordering Decimal Numbers - Tenths / Hundredths - Free Printable

To solve this problem, we need to place each decimal number in the correct spot on the number line. The number line goes from 0 to 1, and it is divided into 10 big sections (tenths). Each big section is then split into smaller parts.

Here is how we figure out where each number goes:

Step 1: Understand the Number Line

- The line starts at 0 and ends at 1.
- The long green marks show the tenths: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9.
- The number 0.5 is already marked in the middle.
- Between each tenth (like between 0.1 and 0.2), there are smaller marks. Looking closely, there are 4 small ticks between each tenth mark. This means each small space represents 0.02 (two hundredths).
- Example: After 0.1, the next small tick is 0.12, then 0.14, etc.
- However, looking at the arrows, they point to specific locations. Let's look at the numbers we have to place and match them to their value.

Step 2: List and Sort the Numbers

Let’s list all the numbers provided and sort them from smallest to largest to make it easier to see where they fit.

The numbers are:
0.05, 0.7, 0.79, 0.34, 0.69, 0.91, 0.52, 0.1, 0.94, 0.2, 0.62, 0.38, 0.85, 0.17, 0.45

Sorted order:
1. 0.05
2. 0.1
3. 0.17
4. 0.2
5. 0.34
6. 0.38
7. 0.45
8. 0.52
9. 0.62
10. 0.69
11. 0.7
12. 0.79
13. 0.85
14. 0.91
15. 0.94

*(Note: There are 15 numbers and 15 empty boxes on the worksheet.)*

Step 3: Match Numbers to Positions on the Line

We will go from left (0) to right (1) and fill in the boxes based on the sorted list.

Between 0 and 0.1:
- The first arrow points very close to 0. This must be the smallest number: 0.05.
- The second arrow points exactly on the first long green mark after 0. This is 0.1.

Between 0.1 and 0.2:
- The next arrow is before the 0.2 mark. It looks like it's a bit more than halfway between 0.1 and 0.2. Our next number is 0.17.
- The next arrow points exactly on the long green mark for 0.2.

Between 0.2 and 0.3:
- There are no arrows pointing to spaces between 0.2 and 0.3 in the top row? Wait, let's look closer at the image structure.
- Let's trace the arrows carefully from left to right across the whole line.

Left Side (0 to 0.5):
1. Arrow above 0.05 position: Points to a spot just after 0. Value: 0.05.
2. Arrow below 0.1 position: Points exactly to the 0.1 mark. Value: 0.1.
3. Arrow above 0.17 position: Points between 0.1 and 0.2. Value: 0.17.
4. Arrow below 0.2 position: Points exactly to the 0.2 mark. Value: 0.2.
5. Arrow above 0.34 position: Points between 0.3 and 0.4. Value: 0.34.
6. Arrow below 0.38 position: Points between 0.3 and 0.4, slightly further right than the previous one. Value: 0.38.
7. Arrow above 0.45 position: Points halfway between 0.4 and 0.5. Value: 0.45.
8. Arrow below 0.52 position: Points just after the 0.5 mark. Value: 0.52.

Right Side (0.5 to 1):
9. Arrow above 0.62 position: Points between 0.6 and 0.7. Value: 0.62.
10. Arrow below 0.69 position: Points just before the 0.7 mark. Value: 0.69.
11. Arrow above 0.7 position: Points exactly on the 0.7 mark. Value: 0.7.
12. Arrow below 0.79 position: Points just before the 0.8 mark. Value: 0.79.
13. Arrow above 0.85 position: Points halfway between 0.8 and 0.9. Value: 0.85.
14. Arrow below 0.91 position: Points just after the 0.9 mark. Value: 0.91.
15. Arrow above 0.94 position: Points between 0.9 and 1.0, closer to 1. Value: 0.94.

Let's double-check the visual positions against the values:
- 0.05: Very close to 0. Correct.
- 0.1: On the first major tick. Correct.
- 0.17: Between 0.1 and 0.2. Correct.
- 0.2: On the second major tick. Correct.
- 0.34: Between 0.3 and 0.4. Correct.
- 0.38: Between 0.3 and 0.4, closer to 0.4. Correct.
- 0.45: Exactly between 0.4 and 0.5. Correct.
- 0.52: Just past 0.5. Correct.
- 0.62: Past 0.6. Correct.
- 0.69: Almost at 0.7. Correct.
- 0.7: On the 0.7 major tick. Correct.
- 0.79: Almost at 0.8. Correct.
- 0.85: Halfway between 0.8 and 0.9. Correct.
- 0.91: Just past 0.9. Correct.
- 0.94: Further past 0.9. Correct.

Final Check of the Order

The numbers placed from left to right on the number line are:
1. 0.05
2. 0.1
3. 0.17
4. 0.2
5. 0.34
6. 0.38
7. 0.45
8. 0.52
9. 0.62
10. 0.69
11. 0.7
12. 0.79
13. 0.85
14. 0.91
15. 0.94

All 15 numbers from the list are used exactly once.

Final Answer:
The decimal numbers ordered from left to right on the number line are:
0.05, 0.1, 0.17, 0.2, 0.34, 0.38, 0.45, 0.52, 0.62, 0.69, 0.7, 0.79, 0.85, 0.91, 0.94