Decimals on a Number Line Worksheets - Free Printable

Let's solve each of the number line problems step by step. The goal is to determine the decimal values of points P, Q, and R on each number line.

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🔹 First Number Line (Already Solved as Example):

- Range: 0 to 2
- Each segment between whole numbers is divided into 5 equal parts → so each small tick represents 0.2 (since 1 ÷ 5 = 0.2)

✔ Given:
- P = 0.2 ✔
- Q = 0.8 ✔
- R = 1.5 ✔

This confirms the scale: each tick = 0.2

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🔹 Second Number Line:

- Range: 0 to 2
- Divided into 10 equal parts between each whole number → each tick = 0.1

Let’s find:
- P: Between 0.5 and 1, it's the first tick after 0.5 → 0.5 + 0.1 = 0.6
- Q: At the second tick after 1 → 1 + 0.2 = 1.2
- R: Between 1.5 and 2, it's at the third tick after 1.5 → 1.5 + 0.3 = 1.8

✔ So:
- P = 0.6
- Q = 1.2
- R = 1.8

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🔹 Third Number Line:

- Range: 1 to 3
- Divided into 10 equal parts per unit → each tick = 0.1

Now:
- P: Between 1 and 1.5, it's at the third tick after 1 → 1 + 0.3 = 1.3
- Q: Between 2 and 3, it's at the fifth tick after 2 → 2 + 0.5 = 2.5
- R: Just before 3, at the ninth tick after 2 → 2 + 0.9 = 2.9

✔ So:
- P = 1.3
- Q = 2.5
- R = 2.9

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🔹 Fourth Number Line:

- Range: 4 to 6
- Divided into 10 equal parts per unit → each tick = 0.1

Now:
- P: Between 4 and 4.5, it's at the second tick after 4 → 4 + 0.2 = 4.2
- Q: Between 4.5 and 5, it's at the fourth tick after 4.5 → 4.5 + 0.4 = 4.9
- R: Between 5 and 6, it's at the sixth tick after 5 → 5 + 0.6 = 5.6

✔ So:
- P = 4.2
- Q = 4.9
- R = 5.6

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✔ Final Answers:

#### Second Number Line:
- P = 0.6
- Q = 1.2
- R = 1.8

#### Third Number Line:
- P = 1.3
- Q = 2.5
- R = 2.9

#### Fourth Number Line:
- P = 4.2
- Q = 4.9
- R = 5.6

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📝 Explanation Summary:

- Always check how many divisions are between two whole numbers.
- If there are 10 divisions → each tick = 0.1
- If there are 5 divisions → each tick = 0.2
- Count the number of ticks from a known value (like 0, 1, etc.) to find the decimal.

Let me know if you'd like this in a printable format or with visual annotations!