Decimals on Number line worksheet | Grade1to6.com - Free Printable

Let's solve each of the problems step by step, finding the decimal values of P, Q, and R on each number line.

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🔹 Problem 1: Already Solved

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

✔ This one is already solved correctly.

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🔹 Problem 2

Number line from 0 to 2, divided into 10 equal parts between 0 and 1, and same pattern continues.

Each small interval = 0.1

#### Find:
- P: Between 0.5 and 1 → it’s at the 6th tick after 0, so
$ P = 0.6 $

- Q: At the 1st tick after 1 →
$ Q = 1.1 $

- R: At the 3rd tick after 1.5 →
$ R = 1.8 $

✔ So:
- P = 0.6
- Q = 1.1
- R = 1.8

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🔹 Problem 3

Number line from 1 to 3, with marks every 0.5 units (since 1.5, 2, 2.5, 3 are labeled).

But look closely — there are small ticks between whole numbers. From 1 to 1.5: 5 small intervals → each interval = 0.1

So each small tick = 0.1

#### Find:
- P: Between 1 and 1.5 → at the 4th tick after 1 →
$ P = 1 + 0.4 = 1.4 $

- Q: Between 2 and 3 → at the 3rd tick after 2 →
$ Q = 2 + 0.3 = 2.3 $

- R: At the last tick before 3, which is at 2.9 →
$ R = 2.9 $

✔ So:
- P = 1.4
- Q = 2.3
- R = 2.9

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🔹 Problem 4

Number line from 4 to 6, with labels at 4, 4.5, 5, 6.

Between 4 and 4.5 → 5 small intervals → each = 0.1

So each tick = 0.1

#### Find:
- P: Between 4 and 4.5 → at the 3rd tick after 4 →
$ P = 4 + 0.3 = 4.3 $

- Q: Between 4.5 and 5 → at the 2nd tick after 4.5 →
$ Q = 4.5 + 0.2 = 4.7 $

- R: Between 5 and 6 → at the 4th tick after 5 →
$ R = 5 + 0.4 = 5.4 $

✔ So:
- P = 4.3
- Q = 4.7
- R = 5.4

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🔹 Problem 5

Same scale as Problem 4: from 4 to 6, each small tick = 0.1

#### Find:
- P: Between 4 and 4.5 → at the 2nd tick after 4 →
$ P = 4 + 0.2 = 4.2 $

- Q: Between 4.5 and 5 → at the 4th tick after 4.5 →
$ Q = 4.5 + 0.4 = 4.9 $

- R: Between 5 and 6 → at the 3rd tick after 5 →
$ R = 5 + 0.3 = 5.3 $

✔ So:
- P = 4.2
- Q = 4.9
- R = 5.3

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✔ Final Answers:

| Problem | P | Q | R |
|--------|-------|-------|-------|
| 1 | 0.2 | 0.8 | 1.5 |
| 2 | 0.6 | 1.1 | 1.8 |
| 3 | 1.4 | 2.3 | 2.9 |
| 4 | 4.3 | 4.7 | 5.4 |
| 5 | 4.2 | 4.9 | 5.3 |

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🔍 Explanation Summary:

To find decimals on a number line:
1. Identify the scale — how much each small tick represents.
2. Count how many ticks from a known value (like 0, 1, 4, etc.).
3. Multiply the number of ticks by the value per tick and add to the starting point.

For example, if each tick is 0.1, and a point is 3 ticks after 4.5 →
$ 4.5 + (3 × 0.1) = 4.8 $

This method applies to all the problems above.

Let me know if you'd like this in printable format or need help explaining it to a child!