Ordering Positive and Negative Numbers | Maths Year 5 - Free Printable

Let's solve the Ordering Positive and Negative Numbers Worksheet step by step.

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Part 1: Order from smallest to largest

We'll go through each row, identify the numbers, and arrange them in ascending order (smallest to largest).

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#### 1. -3, -78, 81, 54, -54, 2

- List: -3, -78, 81, 54, -54, 2
- First, identify negative numbers: -78, -54, -3
- Among negatives: -78 < -54 < -3
- Then positive numbers: 2, 54, 81 → 2 < 54 < 81
- Combine: -78, -54, -3, 2, 54, 81

✔ Answer:
-78, -54, -3, 2, 54, 81

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#### 2. 8, 42, -31, 17, -11, 25

- Negatives: -31, -11 → -31 < -11
- Positives: 8, 17, 25, 42 → 8 < 17 < 25 < 42
- Combine: -31, -11, 8, 17, 25, 42

✔ Answer:
-31, -11, 8, 17, 25, 42

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#### 3. -5, -23, -103, 0, -58, -18

- All are negative except 0.
- Order negatives from smallest (most negative) to largest:
- -103 < -58 < -23 < -18 < -5
- Then 0 is larger than all negatives
- So: -103, -58, -23, -18, -5, 0

✔ Answer:
-103, -58, -23, -18, -5, 0

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#### 4. 33, -3, -13, 3, -33, 13

- Negatives: -33, -13, -3 → -33 < -13 < -3
- Positives: 3, 13, 33 → 3 < 13 < 33
- Combine: -33, -13, -3, 3, 13, 33

✔ Answer:
-33, -13, -3, 3, 13, 33

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#### 5. -121, -352, 537, 54, -15, 780

- Negatives: -352, -121, -15 → -352 < -121 < -15
- Positives: 54, 537, 780 → 54 < 537 < 780
- Combine: -352, -121, -15, 54, 537, 780

✔ Answer:
-352, -121, -15, 54, 537, 780

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Part 2: Order from largest to smallest

Now we sort each set in descending order (largest to smallest).

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#### 1. -12, -5, -8, 13, -5, -7

- Positives: 13
- Negatives: -12, -8, -7, -5, -5 → among negatives, -5 > -7 > -8 > -12
- So largest to smallest: 13, -5, -5, -7, -8, -12

Note: Two -5s — both are equal, so they can be placed together.

✔ Answer:
13, -5, -5, -7, -8, -12

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#### 2. -31, -28, -112, -56, -18, 0

- Only one non-negative: 0
- Negatives: -112, -56, -31, -28, -18
- Order from largest (closest to zero) to smallest: -18 > -28 > -31 > -56 > -112
- Then 0 is largest
- So: 0, -18, -28, -31, -56, -112

✔ Answer:
0, -18, -28, -31, -56, -112

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#### 3. 12, 0, 23, -21, -17, -3

- Positives: 23, 12 → 23 > 12
- Zero: 0
- Negatives: -3, -17, -21 → -3 > -17 > -21
- So descending: 23, 12, 0, -3, -17, -21

✔ Answer:
23, 12, 0, -3, -17, -21

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#### 4. -97, 85, 51, 2, -6, -47

- Positives: 85, 51, 2 → 85 > 51 > 2
- Negatives: -6, -47, -97 → -6 > -47 > -97
- So descending: 85, 51, 2, -6, -47, -97

✔ Answer:
85, 51, 2, -6, -47, -97

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#### 5. -25, -6, -24, -69, -8, -15

- All are negative
- Order from largest (closest to zero) to smallest:
- -6 > -8 > -15 > -24 > -25 > -69
- So: -6, -8, -15, -24, -25, -69

✔ Answer:
-6, -8, -15, -24, -25, -69

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✔ Final Answers:

#### Part 1: Smallest to Largest
1. -78, -54, -3, 2, 54, 81
2. -31, -11, 8, 17, 25, 42
3. -103, -58, -23, -18, -5, 0
4. -33, -13, -3, 3, 13, 33
5. -352, -121, -15, 54, 537, 780

#### Part 2: Largest to Smallest
1. 13, -5, -5, -7, -8, -12
2. 0, -18, -28, -31, -56, -112
3. 23, 12, 0, -3, -17, -21
4. 85, 51, 2, -6, -47, -97
5. -6, -8, -15, -24, -25, -69

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🔍 Explanation Summary:

- Negative numbers: The more negative a number is (e.g., -100), the smaller it is.
- Zero: Greater than any negative number, less than any positive number.
- Positive numbers: Larger numbers are greater than smaller ones.
- When ordering:
- For smallest to largest: Start with most negative → zero → positive
- For largest to smallest: Start with largest positive → zero → most negative

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