Decimal Number Line (Tenths) worksheet for identifying decimal values at specific points on a number line.

Let's solve this step by step.

We are given two number lines, both showing decimal numbers in tenths (i.e., each small tick mark represents 0.1). We need to determine the decimal value for each letter based on its position on the number line.

---

🔹 First Number Line: From 1 to 4

This number line goes from 1 to 4, with each unit divided into 10 equal parts (tenths).

So:
- Between 1 and 2: 1.0, 1.1, 1.2, ..., 1.9, 2.0
- Between 2 and 3: 2.0, 2.1, ..., 2.9, 3.0
- Between 3 and 4: 3.0, 3.1, ..., 3.9, 4.0

Now let’s locate each letter:

#### A → just after 1
- It's at the first tick after 1 → 1.1

#### D → between 1 and 2, closer to 1.5?
- Counting from 1: 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, ...
- D is at 1.4

#### H → between 1.8 and 1.9?
Wait — let’s count carefully:

From 1 to 2:
- Tick marks: 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0

H is just before 2, so at 1.9

Wait — no, look again:

Actually, let’s list positions:

| Position | Value |
|--------|-------|
| 1 | 1.0 |
| 2 | 1.1 |
| 3 | 1.2 |
| 4 | 1.3 |
| 5 | 1.4 |
| 6 | 1.5 |
| 7 | 1.6 |
| 8 | 1.7 |
| 9 | 1.8 |
| 10 | 1.9 |
| 11 | 2.0 |

But looking at the diagram:

- A is at the first tick after 1 → 1.1
- D is at the fourth tick after 1 → 1.4
- H is at the ninth tick after 1 → 1.9
- I is between 2 and 3 → let's see: it's just after 2.5? Wait — count from 2:

From 2 to 3:
- 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3.0

I is just after 2.5, but where?

Looking at the image:

- I is at 2.6
- G is between 2.7 and 2.8? Wait — G is just after 2.7 → 2.7
- E is at 3.0? No — E is slightly after 3 → 3.1
- F is between 3.4 and 3.5? Let's go step by step.

Let’s label all letters:

---

First Number Line (1 to 4):

Positions:

- A: 1st tick after 1 → 1.1
- D: 4th tick after 1 → 1.4
- H: 9th tick after 1 → 1.9
- I: 6th tick after 2 → 2 + 0.6 = 2.6
- G: 7th tick after 2 → 2.7 → 2.7
- E: 1st tick after 3 → 3.1
- F: 4th tick after 3 → 3.4 → 3.4
- B: 8th tick after 3 → 3.8 → 3.8
- C: 9th tick after 3 → 3.9 → 3.9

Wait — B is near 4, C is right before 4.

Let’s double-check:

From 3 to 4:
- 3.0, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4.0

So:
- F is at 3.4
- E is at 3.1
- B is at 3.8
- C is at 3.9

And earlier:
- A = 1.1
- D = 1.4
- H = 1.9
- I = 2.6
- G = 2.7

✔ So first set:

| Letter | Value |
|--------|-------|
| A | 1.1 |
| B | 3.8 |
| C | 3.9 |
| D | 1.4 |
| E | 3.1 |
| F | 3.4 |
| G | 2.7 |
| H | 1.9 |
| I | 2.6 |

---

🔹 Second Number Line: From 1 to 4 (again), but different labels

This one starts at 1 and goes past 3.5.

It has points: P, Q, L, K, N, R, M, O, J

Let’s analyze:

- Starts at 1, ends beyond 3.5
- Each small tick = 0.1

Let’s find positions:

From left to right:

- P: just after 1 → 1.1
- Q: next → 1.2
- L: after 1.3? Let’s count:

From 1:
- 1.0, 1.1 (P), 1.2 (Q), 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0

Then:
- L is at 2.1? Wait — look at the diagram.

Wait — let’s assign:

After 1:
- P → 1.1
- Q → 1.2
- Then a gap — then L → around 2.1?

Wait — actually, looking at spacing:

The ticks are consistent.

So:
- P: 1.1
- Q: 1.2
- Then next tick is 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0

Then L is at 2.1? But there's a gap — maybe not.

Wait — let’s count from 1 to 3:

Each unit has 10 divisions.

So:
- At 1.0: start
- P is at 1.1
- Q is at 1.2
- Then L is at 2.1? That can’t be — too far.

Wait — perhaps the labels are placed as:

Look at the second number line:

Labels: P, Q, L, K, N, R, M, O, J

They are spaced roughly every 0.2 or so.

Let’s assume the number line goes from 1 to 4 again.

But only up to about 3.5.

So:

- P: just after 1 → 1.1
- Q: next → 1.2
- Then L: after 1.5? Or 1.8?

Wait — let’s count the ticks:

From 1 to 2: 10 ticks → 1.0 to 2.0

Then 2 to 3: 10 ticks → 2.0 to 3.0

Then 3 to 4: 10 ticks → 3.0 to 4.0

Now, placing the letters:

- P → at 1.1
- Q → at 1.2
- L → at 2.1? But that’s far — wait, maybe it's 1.8?

Wait — let’s re-express:

Looking at the diagram (as described), the second number line has:

- P at first tick after 1 → 1.1
- Q at second tick → 1.2
- Then next is L — but it's further along.

Wait — actually, from the original image description, the second line has:

- P → 1.1
- Q → 1.2
- L → at 2.1?
- K → 2.4?
- N → 2.7?
- R → 2.9?
- M → 3.0?
- O → 3.3?
- J → 3.6?

Wait — let’s do it systematically.

Assume the number line is marked from 1 to 4, with tenths.

Let’s assign positions:

- P: first tick after 1 → 1.1
- Q: second tick after 1 → 1.2
- L: looks like it's at 2.1? But wait — there's a gap.

Wait — actually, counting from 1:

- 1.0 → start
- 1.1 → P
- 1.2 → Q
- 1.3 → ?
- 1.4 → ?
- 1.5 → ?
- 1.6 → ?
- 1.7 → ?
- 1.8 → ?
- 1.9 → ?
- 2.0 → ?
- 2.1 → L
- 2.2 → ?
- 2.3 → ?
- 2.4 → K
- 2.5 → ?
- 2.6 → ?
- 2.7 → N
- 2.8 → ?
- 2.9 → R
- 3.0 → M
- 3.1 → ?
- 3.2 → ?
- 3.3 → O
- 3.4 → ?
- 3.5 → ?
- 3.6 → J

Yes! That makes sense.

So:

- P = 1.1
- Q = 1.2
- L = 2.1
- K = 2.4
- N = 2.7
- R = 2.9
- M = 3.0
- O = 3.3
- J = 3.6

Wait — but J is at the end — is it 3.6?

Yes — from 3.0 to 3.6 is 6 tenths.

So:

| Letter | Value |
|--------|-------|
| J | 3.6 |
| M | 3.0 |
| P | 1.1 |
| K | 2.4 |
| N | 2.7 |
| Q | 1.2 |
| L | 2.1 |
| O | 3.3 |
| R | 2.9 |

Now let’s write them in order as requested:

---

Final Answers:

#### First Set:

- A = 1.1
- B = 3.8
- C = 3.9
- D = 1.4
- E = 3.1
- F = 3.4
- G = 2.7
- H = 1.9
- I = 2.6

#### Second Set:

- J = 3.6
- K = 2.4
- L = 2.1
- M = 3.0
- N = 2.7
- O = 3.3
- P = 1.1
- Q = 1.2
- R = 2.9

---

✔ Final Answer:

First Number Line:

- A = 1.1
- B = 3.8
- C = 3.9
- D = 1.4
- E = 3.1
- F = 3.4
- G = 2.7
- H = 1.9
- I = 2.6

Second Number Line:

- J = 3.6
- K = 2.4
- L = 2.1
- M = 3.0
- N = 2.7
- O = 3.3
- P = 1.1
- Q = 1.2
- R = 2.9

---

Let me know if you'd like a visual explanation or how to read the number line!