Decimals on a Number Line Worksheets - Free Printable

Let’s solve this step by step.

We’re working with number lines that show decimal numbers. The key is to figure out the pattern — how much each step increases or decreases — and then fill in the missing numbers.

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Part A: Fill in the missing decimal numbers

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A1)
Number line: 0.2 → 0.4 → ? → ? → ? → 1.2

From 0.2 to 0.4, we add 0.2.
So let’s check if adding 0.2 each time works:

- 0.2 + 0.2 = 0.4 ✔
- 0.4 + 0.2 = 0.6
- 0.6 + 0.2 = 0.8
- 0.8 + 0.2 = 1.0
- 1.0 + 0.2 = 1.2 ✔

Perfect! So the missing numbers are: 0.6, 0.8, 1.0

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A2)
Number line: 7 → ? → 7.42 → ? → ? → 8.05 → 8.26 → ? → ?

Let’s find the difference between known points.

From 7.42 to 8.05:
8.05 - 7.42 = 0.63 → but there are two steps between them (7.42 → ? → ? → 8.05), so maybe not helpful yet.

Look at 8.05 to 8.26:
8.26 - 8.05 = 0.21 → one step? But there’s a box after 8.26, so maybe 0.21 per step?

Check from 7 to 7.42:
7.42 - 7 = 0.42 → and there’s one box between them → so maybe two steps of 0.21?

Try:
7 + 0.21 = 7.21
7.21 + 0.21 = 7.42 ✔
7.42 + 0.21 = 7.63
7.63 + 0.21 = 7.84
7.84 + 0.21 = 8.05 ✔
8.05 + 0.21 = 8.26 ✔
8.26 + 0.21 = 8.47
8.47 + 0.21 = 8.68

Yes! All match. So missing numbers:
After 7: 7.21
After 7.42: 7.63, then 7.84
After 8.26: 8.47, then 8.68

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A3)
Number line: 4.1 → 4.2 → ? → ? → 4.5 → 4.6 → ? → ?

From 4.1 to 4.2 = +0.1
Then likely continues +0.1 each step.

So:
4.2 + 0.1 = 4.3
4.3 + 0.1 = 4.4
4.4 + 0.1 = 4.5 ✔
4.5 + 0.1 = 4.6 ✔
4.6 + 0.1 = 4.7
4.7 + 0.1 = 4.8

Missing: 4.3, 4.4, 4.7, 4.8

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A4)
Number line: 2.65 → ? → 2.95 → 3.1 → ? → ? → 3.55

Find differences.

From 2.65 to 2.95:
2.95 - 2.65 = 0.30 → and there’s one box in between → so two steps? Then each step = 0.15?

Check:
2.65 + 0.15 = 2.80
2.80 + 0.15 = 2.95 ✔
2.95 + 0.15 = 3.10 ✔
3.10 + 0.15 = 3.25
3.25 + 0.15 = 3.40
3.40 + 0.15 = 3.55 ✔

Perfect! Missing: 2.80, 3.25, 3.40

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Part B: What decimal do the letters represent?

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B1)
Number line: 5.13 → C → 5.41 → 5.55 → A → 5.83 → 5.97 → B → 6.25 → 6.39 → 6.53

First, find the step size.

Look at 5.41 to 5.55: 5.55 - 5.41 = 0.14
5.55 to 5.83: 5.83 - 5.55 = 0.28 → that’s two steps? So 0.14 per step?

Check:
5.13 + 0.14 = 5.27 → that’s C
5.27 + 0.14 = 5.41 ✔
5.41 + 0.14 = 5.55 ✔
5.55 + 0.14 = 5.69 → that’s A
5.69 + 0.14 = 5.83 ✔
5.83 + 0.14 = 5.97 ✔
5.97 + 0.14 = 6.11 → that’s B
6.11 + 0.14 = 6.25 ✔
6.25 + 0.14 = 6.39 ✔
6.39 + 0.14 = 6.53 ✔

So:
C = 5.27
A = 5.69
B = 6.11

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B2)
Number line: 9 → Q → 9.02 → 9.03 → R → 9.05 → 9.06 → 9.07 → P

Step size? From 9.02 to 9.03 = +0.01
Likely all steps are +0.01

So:
9 + 0.01 = 9.01 → Q
9.01 + 0.01 = 9.02 ✔
9.02 + 0.01 = 9.03 ✔
9.03 + 0.01 = 9.04 → R
9.04 + 0.01 = 9.05 ✔
... up to 9.07 + 0.01 = 9.08 → P

So:
Q = 9.01
R = 9.04
P = 9.08

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B3)
Number line: 1.9 → 2.01 → X → 2.23 → Z → 2.45 → Y → 2.67

Find step size.

From 1.9 to 2.01: 2.01 - 1.9 = 0.11
From 2.01 to next should be +0.11 → 2.01 + 0.11 = 2.12 → X
2.12 + 0.11 = 2.23 ✔
2.23 + 0.11 = 2.34 → Z
2.34 + 0.11 = 2.45 ✔
2.45 + 0.11 = 2.56 → Y
2.56 + 0.11 = 2.67 ✔

So:
X = 2.12
Z = 2.34
Y = 2.56

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Final Answer:

A1: 0.6, 0.8, 1.0
A2: 7.21, 7.63, 7.84, 8.47, 8.68
A3: 4.3, 4.4, 4.7, 4.8
A4: 2.80, 3.25, 3.40

B1: A = 5.69; B = 6.11; C = 5.27
B2: P = 9.08; Q = 9.01; R = 9.04
B3: X = 2.12; Y = 2.56; Z = 2.34