Ordering Decimals up to 3dp - Free Printable

Let's solve each part of the worksheet step by step. The goal is to order the decimals from smallest to largest, using the number line concept: numbers increase from left to right, so more negative numbers are smaller than less negative or positive ones.

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🔹 Key Concept Reminder:

- Negative numbers: The more negative (farther left on the number line), the smaller they are.
- Example: -5 < -3 because -5 is farther left.
- Positive numbers: Larger values are greater.
- Compare decimal numbers digit by digit, starting from the left.

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We'll go through each set one by one.

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✔ A)

Numbers:
-3.43, -2.18, -0.467, -2.514, -5.3

All are negative. So we compare their absolute values — the larger the absolute value, the smaller the number.

List in order of increasing (from most negative to least):

1. -5.3 → most negative
2. -3.43
3. -2.514
4. -2.18
5. -0.467 → closest to zero (largest)

✔ Order:
-5.3, -3.43, -2.514, -2.18, -0.467

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✔ B)

Numbers:
-2.38, 0.79, -0.521, 1.76, 0.105

Separate into negatives and positives:

Negatives: -2.38, -0.521 → -2.38 < -0.521
Positives: 0.105, 0.79, 1.76 → increasing order

So overall order:

1. -2.38
2. -0.521
3. 0.105
4. 0.79
5. 1.76

✔ Order:
-2.38, -0.521, 0.105, 0.79, 1.76

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✔ C)

Numbers:
2.316, -0.08, 1.28, 0.924, -1.5

Negatives: -1.5, -0.08 → -1.5 < -0.08
Positives: 0.924, 1.28, 2.316 → increasing

Order:

1. -1.5
2. -0.08
3. 0.924
4. 1.28
5. 2.316

✔ Order:
-1.5, -0.08, 0.924, 1.28, 2.316

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✔ D)

Numbers:
1.287, -0.621, -1.224, 0.58, -3.175

Negatives: -3.175, -1.224, -0.621 → order: -3.175 < -1.224 < -0.621
Positives: 0.58, 1.287 → 0.58 < 1.287

Full order:

1. -3.175
2. -1.224
3. -0.621
4. 0.58
5. 1.287

✔ Order:
-3.175, -1.224, -0.621, 0.58, 1.287

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✔ E)

Numbers:
-1.26, -2.517, -1.8, -4.211, -0.76

All negative. Compare absolute values:

-4.211 → largest abs → smallest number
Then: -2.517
Then: -1.8
Then: -1.26
Then: -0.76 → closest to zero

Order:

1. -4.211
2. -2.517
3. -1.8
4. -1.26
5. -0.76

✔ Order:
-4.211, -2.517, -1.8, -1.26, -0.76

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✔ F)

Numbers:
-2.149, 0.628, 0.39, -1.274, 0.5

Negatives: -2.149, -1.274 → -2.149 < -1.274
Positives: 0.39, 0.5, 0.628 → increasing

Order:

1. -2.149
2. -1.274
3. 0.39
4. 0.5
5. 0.628

✔ Order:
-2.149, -1.274, 0.39, 0.5, 0.628

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✔ G)

Numbers:
-5.297, 0.473, -2.58, 1.231, -2.62

Negatives: -5.297, -2.62, -2.58 → order:
-5.297 < -2.62 < -2.58
(Compare: -2.62 vs -2.58 → -2.62 is more negative)

Positives: 0.473, 1.231 → 0.473 < 1.231

Full order:

1. -5.297
2. -2.62
3. -2.58
4. 0.473
5. 1.231

✔ Order:
-5.297, -2.62, -2.58, 0.473, 1.231

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✔ Final Answers:

#### A)
-5.3, -3.43, -2.514, -2.18, -0.467

#### B)
-2.38, -0.521, 0.105, 0.79, 1.76

#### C)
-1.5, -0.08, 0.924, 1.28, 2.316

#### D)
-3.175, -1.224, -0.621, 0.58, 1.287

#### E)
-4.211, -2.517, -1.8, -1.26, -0.76

#### F)
-2.149, -1.274, 0.39, 0.5, 0.628

#### G)
-5.297, -2.62, -2.58, 0.473, 1.231

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📌 Summary Tips:

- Negative numbers: More negative = smaller
- Compare digits: Start from the left (whole number part first)
- Use a number line: Visualize where each number lies between -10 and 10

Let me know if you'd like this formatted as a printable answer sheet!