Printable worksheet for practicing negative numbers, including ordering and finding differences.

Let's solve the Negative Numbers Worksheet step by step.

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Part 1: Order the following numbers from smallest to largest

We'll sort each set of numbers from smallest (most negative) to largest (most positive).

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#### 1. 0, -23, 15, 5, -9, 4

List: -23, -9, 0, 4, 5, 15
✔ Ordered: -23, -9, 0, 4, 5, 15

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#### 2. -16, 12, 0, 22, -3, 19

List: -16, -3, 0, 12, 19, 22
✔ Ordered: -16, -3, 0, 12, 19, 22

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#### 3. 47, -14, -1, 25, -25, -3

List: -25, -14, -3, -1, 25, 47
✔ Ordered: -25, -14, -3, -1, 25, 47

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#### 4. 27, -51, 2, -14, 0, 66

List: -51, -14, 0, 2, 27, 66
✔ Ordered: -51, -14, 0, 2, 27, 66

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#### 5. -16, -50, 50, 5, 12, -12

List: -50, -16, -12, 5, 12, 50
✔ Ordered: -50, -16, -12, 5, 12, 50

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✔ Answers for Part 1:

1. -23, -9, 0, 4, 5, 15
2. -16, -3, 0, 12, 19, 22
3. -25, -14, -3, -1, 25, 47
4. -51, -14, 0, 2, 27, 66
5. -50, -16, -12, 5, 12, 50

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Part 2: Find the difference between each pair of numbers

The difference between two numbers is the absolute value of their subtraction:
> Difference = |A - B| or |B - A| — same result.

We can use a number line: distance between two points.

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#### a) 5 and -1

Difference = |5 - (-1)| = |5 + 1| = 6
Or count: from -1 to 0 is 1, then 0 to 5 is 5 → total = 6

✔ 6

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#### b) -9 and 2

Difference = |2 - (-9)| = |2 + 9| = 11
From -9 to 0 is 9, 0 to 2 is 2 → total = 11

✔ 11

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#### c) -4 and 6

Difference = |6 - (-4)| = |6 + 4| = 10
From -4 to 0 is 4, 0 to 6 is 6 → total = 10

✔ 10

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#### d) 8 and -2

Difference = |8 - (-2)| = |8 + 2| = 10
From -2 to 0 is 2, 0 to 8 is 8 → total = 10

✔ 10

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#### e) 6 and -7

Difference = |6 - (-7)| = |6 + 7| = 13
From -7 to 0 is 7, 0 to 6 is 6 → total = 13

✔ 13

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#### f) -8 and 7

Difference = |7 - (-8)| = |7 + 8| = 15
From -8 to 0 is 8, 0 to 7 is 7 → total = 15

✔ 15

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✔ Answers for Part 2:

a) 6
b) 11
c) 10
d) 10
e) 13
f) 15

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✔ Final Answer Summary:

#### Ordering (Smallest to Largest):
1. -23, -9, 0, 4, 5, 15
2. -16, -3, 0, 12, 19, 22
3. -25, -14, -3, -1, 25, 47
4. -51, -14, 0, 2, 27, 66
5. -50, -16, -12, 5, 12, 50

#### Differences:
a) 6
b) 11
c) 10
d) 10
e) 13
f) 15

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💡 Tip: When comparing negative numbers, remember: the more negative a number is, the smaller it is. For differences, always take the absolute value — distance on a number line is never negative!