Ordering Positive and Negative Numbers - Worksheet | 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 set, identify the numbers, and arrange them in ascending order (smallest to largest).

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

- List: -78, -54, -3, 2, 54, 81
- Ordered: -78, -54, -3, 2, 54, 81

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

- List: -31, -11, 8, 17, 25, 42
- Ordered: -31, -11, 8, 17, 25, 42

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

- List: -103, -58, -23, -18, -5, 0
- Ordered: -103, -58, -23, -18, -5, 0

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

- List: -33, -13, -3, 3, 13, 33
- Ordered: -33, -13, -3, 3, 13, 33

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

- List: -352, -121, -15, 54, 537, 780
- Ordered: -352, -121, -15, 54, 537, 780

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✔ Part 1 Answers:

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

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Part 2: Order from largest to smallest

Now we reverse the process — sort from largest to smallest.

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

- First, list all: 13, -5, -5, -7, -8, -12
- Ordered (largest to smallest): 13, -5, -5, -7, -8, -12

> Note: -5 appears twice — both are equal, so they can be placed together.

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

- Largest is 0, then -18, -28, -31, -56, -112
- Ordered: 0, -18, -28, -31, -56, -112

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

- Largest: 23, 12, 0, -3, -17, -21
- Ordered: 23, 12, 0, -3, -17, -21

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

- Largest: 85, 51, 2, -6, -47, -97
- Ordered: 85, 51, 2, -6, -47, -97

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

- Largest: -6, -8, -15, -24, -25, -69
- Ordered: -6, -8, -15, -24, -25, -69

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✔ Part 2 Answers:

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 of How to Order Positive and Negative Numbers

- Negative numbers are less than zero.
- The more negative a number is (e.g., -100), the smaller it is.
- Zero is greater than any negative number but less than any positive number.
- Positive numbers are greater than zero, and larger ones are farther from zero.

To compare:
- Compare absolute values for negatives: the one with the larger absolute value is smaller.
- Example: -54 < -3 because 54 > 3
- For positives: larger number = larger value.

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✔ Final Answer Summary:

#### 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

You can now fill these into the worksheet boxes accordingly!