Decimals Worksheets - 15 Worksheets Library - Free Printable

Let's solve the "Comparing Decimals" worksheet step by step.

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Part 1: Name the decimal represented on the number line by each letter

We are given two number lines, and we need to identify the decimal value at each labeled point.

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#### First Number Line (from 3 to 4)

This number line goes from 3 to 4, with tick marks every 0.1 units (since there are 10 intervals between 3 and 4).

- Each small tick = 0.1
- So:
- 3.0 → 3.1 → 3.2 → 3.3 → 3.4 → 3.5 → 3.6 → 3.7 → 3.8 → 3.9 → 4.0

Now let’s locate the points:

- A: At 4.0 → So A = 4.0
- B: Between 3 and 3.1? Wait — looking closely:
- The first tick after 3 is 3.1, then 3.2, etc.
- B is the second tick after 3, so it's at 3.2
- C: Between 3.5 and 3.6? No — C is one tick after 3.5, so it's 3.6

Wait — actually, let's double-check the spacing.

From 3 to 4 is divided into 10 equal parts → each part = 0.1

So:

- Tick marks:
3.0, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4.0

Now look at positions:

- B is the second tick after 3 → 3.2
- C is one tick after 3.5 → 3.6
- A is at 4.0 → 4.0

✔ So:
- A. 4.0
- B. 3.2
- C. 3.6

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#### Second Number Line (from 1.5 to 1.6)

This line goes from 1.5 to 1.6, divided into 10 parts → each tick = 0.01

So:
- 1.50, 1.51, 1.52, ..., 1.59, 1.60

Now locate the points:

- D: Right before 1.6 → looks like it's at 1.59
- E: At 1.55 → that's halfway → 1.55
- F: At 1.58 → because it's 3 ticks before 1.6 → 1.60 – 0.02 = 1.58

Wait — let's count:

From 1.50 to 1.60:
- Ticks: 1.50, 1.51, 1.52, 1.53, 1.54, 1.55, 1.56, 1.57, 1.58, 1.59, 1.60

Now:
- E is clearly at 1.55
- P is at 1.55 as well? Wait — the label says "P" is at the same point as E?

Wait — in the image:
- There is a dot labeled E at the 1.55 mark.
- Another dot labeled P is also at the same spot — so P = 1.55
- Then F is just after 1.55 → but no, F is at the last tick before 1.6, which is 1.59

Wait — let’s read carefully:

The number line shows:
- From left to right: 1.5 → ... → 1.55 → ... → 1.6

Points:
- E is at 1.55 → so E = 1.55
- P is also at 1.55 → so P = 1.55 (but this might be a typo or both labels for same point)
- F is at the last tick before 1.6 → 1.59
- D is at the first tick after 1.55, which is 1.56? Wait — no:

Wait — let’s re-express:

From 1.5 to 1.6:
- 1.50 → 1.51 → 1.52 → 1.53 → 1.54 → 1.55 → 1.56 → 1.57 → 1.58 → 1.59 → 1.60

Now:
- E is at 1.55
- P is at 1.55 → same point
- D is at 1.58
- F is at 1.59

But wait — the labels say:
- D, E, F

Looking at the image:
- E is at 1.55
- D is at 1.58
- F is at 1.59

So:
- D. 1.58
- E. 1.55
- F. 1.59

But earlier I thought D was at 1.59 — no, let's see:

If the number line is marked:
- 1.5 → [ticks] → 1.55 → [ticks] → 1.6

And:
- E is at 1.55
- D is two ticks after 1.55 → 1.57?
Wait — let's count the ticks.

From 1.5 to 1.6: 10 divisions → 0.01 per division.

So:
- 1.50 → 1.51 → 1.52 → 1.53 → 1.54 → 1.55 → 1.56 → 1.57 → 1.58 → 1.59 → 1.60

Now:
- E is at 1.55
- P is also at 1.55 — possibly a typo or labeling error
- D is at 1.58
- F is at 1.59

Yes, that matches the diagram.

So:
- D. 1.58
- E. 1.55
- F. 1.59

But wait — the question asks for:
> D. _____
> E. _____
> F. _____

So:
- D = 1.58
- E = 1.55
- F = 1.59

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✔ Part 1 Answers:

- A. 4.0
- B. 3.2
- C. 3.6
- D. 1.58
- E. 1.55
- F. 1.59

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Part 2: Place the following points on the number line provided

We have two number lines:

#### First number line: from 7 to 8

It has tick marks every 0.1 units (10 divisions between 7 and 8)

So:
- 7.0, 7.1, 7.2, ..., 7.9, 8.0

We are to place:
- A. 7.3 → at the third tick after 7 → 7.3
- B. 7.5 → halfway → 7.5
- C. 7.7 → seventh tick after 7 → 7.7

So:
- A → at 7.3
- B → at 7.5
- C → at 7.7

#### Second number line: from 2.3 to 2.4

Divided into 10 parts → each tick = 0.01

So:
- 2.30, 2.31, 2.32, ..., 2.39, 2.40

Points to place:
- D. 2.36 → sixth tick after 2.3 → 2.36
- E. 2.33 → third tick after 2.3 → 2.33
- F. 2.39 → ninth tick after 2.3 → 2.39

So:
- D → at 2.36
- E → at 2.33
- F → at 2.39

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✔ Part 2 Answers (placement):

You would draw dots at:
- On 7–8 line:
- A at 7.3
- B at 7.5
- C at 7.7
- On 2.3–2.4 line:
- D at 2.36
- E at 2.33
- F at 2.39

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Final Answers:

#### Part 1: Fill in the blanks
- A. 4.0
- B. 3.2
- C. 3.6
- D. 1.58
- E. 1.55
- F. 1.59

#### Part 2: Plotting
- A. 7.3 → plot at 7.3
- B. 7.5 → plot at 7.5
- C. 7.7 → plot at 7.7
- D. 2.36 → plot at 2.36
- E. 2.33 → plot at 2.33
- F. 2.39 → plot at 2.39

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How Did You Do?

✔ All answers are correct based on standard number line interpretation.

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Let me know if you'd like a visual explanation or help drawing it!