This worksheet helps students visualize the relationship between decimals and fractions using number lines and ordering tasks.

Absolutely! Let’s solve each part of the worksheet step by step.

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## ✔ Part 1: Fill in the missing fractions and decimals (tenths)

This number line goes from 0 to 1 in increments of 0.1 (which is the same as 1/10).

We are given:

```
Decimals: 0 0.1 ___ 0.3 0.4 0.5 ___ ___ ___ 0.9 1
Fractions: 0/10 1/10 ___ ___ ___ ___ 6/10 ___ ___ ___ 10/10
```

Since each step is +0.1, we can fill in the missing decimals:

- After 0.1 → 0.2
- After 0.5 → 0.6, then 0.7, then 0.8

So decimals:
→ 0.2, 0.6, 0.7, 0.8

Now convert those to fractions with denominator 10:

- 0.2 = 2/10
- 0.6 = 6/10 (already given)
- 0.7 = 7/10
- 0.8 = 8/10

Also, we need to fill in the fraction boxes under 0.3, 0.4, 0.5:

- 0.3 = 3/10
- 0.4 = 4/10
- 0.5 = 5/10

✔ Final Answer for Part 1:

Decimals (top row):
0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1

Fractions (bottom row):
0/10, 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 10/10

*(Note: 9/10 is under 0.9 — that was missing too!)*

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## ✔ Part 2: Fill in the missing fractions and decimals (hundredths)

This number line goes from 0 to 1 in increments of 0.1, but the fractions are shown with denominator 100.

We are given:

```
Decimals: 0 ___ 0.2 0.3 ___ 0.5 0.6 0.7 ___ 0.9 1
Fractions: 0/100 ___ ___ ___ ___ 50/100 ___ ___ ___ ___ ___
```

Each step is still +0.1, so missing decimals:

- After 0 → 0.1
- After 0.3 → 0.4
- After 0.7 → 0.8

So decimals:
→ 0.1, 0.4, 0.8

Now convert those to fractions with denominator 100:

- 0.1 = 10/100
- 0.4 = 40/100
- 0.8 = 80/100

Also, we need to fill in fractions under 0.2, 0.3, 0.5, 0.6, 0.7, 0.9, 1:

- 0.2 = 20/100
- 0.3 = 30/100
- 0.5 = 50/100 (given)
- 0.6 = 60/100
- 0.7 = 70/100
- 0.9 = 90/100
- 1 = 100/100

✔ Final Answer for Part 2:

Decimals (top row):
0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1

Fractions (bottom row):
0/100, 10/100, 20/100, 30/100, 40/100, 50/100, 60/100, 70/100, 80/100, 90/100, 100/100

---

## ✔ Part 3: Order these decimals and fractions from smallest to largest

Given numbers:

> 0.03, 0.14, 2/10, 0.75, 25/100, 0.5, 80/100, 0.15, 6/10

Step 1: Convert all to decimals (easier to compare)

- 0.03 → 0.03
- 0.14 → 0.14
- 2/10 = 2 ÷ 10 = 0.2
- 0.75 → 0.75
- 25/100 = 25 ÷ 100 = 0.25
- 0.5 → 0.5
- 80/100 = 80 ÷ 100 = 0.8
- 0.15 → 0.15
- 6/10 = 6 ÷ 10 = 0.6

Now list them as decimals:

> 0.03, 0.14, 0.2, 0.75, 0.25, 0.5, 0.8, 0.15, 0.6

Step 2: Sort from smallest to largest

Let’s order them:

- Smallest: 0.03
- Then: 0.14
- Then: 0.15
- Then: 0.2 (which is 2/10)
- Then: 0.25 (which is 25/100)
- Then: 0.5
- Then: 0.6 (which is 6/10)
- Then: 0.75
- Largest: 0.8 (which is 80/100)

✔ Final Answer for Part 3 (ordered from smallest to largest):

> 0.03, 0.14, 0.15, 2/10, 25/100, 0.5, 6/10, 0.75, 80/100

*(You can write them as they were originally given — no need to convert back unless asked.)*

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## 🎉 Final Summary:

Part 1:

Decimals: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1
Fractions: 0/10, 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 10/10

Part 2:

Decimals: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1
Fractions: 0/100, 10/100, 20/100, 30/100, 40/100, 50/100, 60/100, 70/100, 80/100, 90/100, 100/100

Part 3:

Ordered List (smallest to largest):
0.03, 0.14, 0.15, 2/10, 25/100, 0.5, 6/10, 0.75, 80/100

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Let me know if you’d like a visual version or printable answer sheet! 😊