Ordering Integers worksheet for practicing arranging positive and negative numbers in ascending and descending order.

Let's solve the "Ordering Integers" worksheet step by step.

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1. Write each set of integers from least to greatest.

We need to arrange the numbers in ascending order (from smallest to largest). Remember: negative numbers are less than positive numbers, and among negatives, the one with the larger absolute value is smaller.

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#### a) 0, 4, -3, 7, -8, 10

- Negative numbers: -8, -3
- Zero: 0
- Positive numbers: 4, 7, 10

Order:
-8 < -3 < 0 < 4 < 7 < 10

✔ Answer: -8, -3, 0, 4, 7, 10

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#### b) -18, 16, 5, -11, 1, -10

- Negatives: -18, -11, -10
- Positives: 1, 5, 16

Order negatives: -18 < -11 < -10
Then: -10 < 1 < 5 < 16

So:
-18 < -11 < -10 < 1 < 5 < 16

✔ Answer: -18, -11, -10, 1, 5, 16

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#### c) -24, 12, -6, -4, 5, 0

- Negatives: -24, -6, -4
- Zero: 0
- Positives: 5, 12

Order: -24 < -6 < -4 < 0 < 5 < 12

✔ Answer: -24, -6, -4, 0, 5, 12

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#### d) -15, 1, -1, 15, 5, 3

- Negatives: -15, -1
- Positives: 1, 3, 5, 15

Order: -15 < -1 < 1 < 3 < 5 < 15

✔ Answer: -15, -1, 1, 3, 5, 15

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#### e) -12, -9, -8, -5, 1, 2

- All negatives: -12, -9, -8, -5 → Order: -12 < -9 < -8 < -5
- Then positives: 1 < 2

So: -12 < -9 < -8 < -5 < 1 < 2

✔ Answer: -12, -9, -8, -5, 1, 2

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#### f) -11, -5, 0, -15, -17, 2

- Negatives: -17, -15, -11, -5
- Zero: 0
- Positive: 2

Order: -17 < -15 < -11 < -5 < 0 < 2

✔ Answer: -17, -15, -11, -5, 0, 2

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2. Write each set of integers from greatest to least.

Now we go from largest to smallest.

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#### a) 27, 19, -18, -7, 5, 2

- Largest: 27
- Then: 19, 5, 2
- Then negatives: -7, -18

So: 27 > 19 > 5 > 2 > -7 > -18

✔ Answer: 27, 19, 5, 2, -7, -18

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#### b) -3, -17, 5, 19, 15, 5, 7

- Positives: 19, 15, 7, 5, 5
- Negatives: -3, -17

Order descending: 19 > 15 > 7 > 5 = 5 > -3 > -17

Note: Two 5s — both same.

✔ Answer: 19, 15, 7, 5, 5, -3, -17

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#### c) -24, 14, -2, -5, -4, -1

- Positive: 14
- Negatives: -1, -2, -4, -5, -24

Order negatives: -1 > -2 > -4 > -5 > -24

So: 14 > -1 > -2 > -4 > -5 > -24

✔ Answer: 14, -1, -2, -4, -5, -24

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#### d) 2, -5, -7, -9, -4, 11

- Positive: 11, 2
- Negatives: -4, -5, -7, -9

Order: 11 > 2 > -4 > -5 > -7 > -9

✔ Answer: 11, 2, -4, -5, -7, -9

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#### e) -10, 5, 8, -6, 9, 16

- Positives: 16, 9, 8, 5
- Negatives: -6, -10

Order: 16 > 9 > 8 > 5 > -6 > -10

✔ Answer: 16, 9, 8, 5, -6, -10

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#### f) 7, 9, -1, 1, 2, -2

- Positives: 9, 7, 2, 1
- Negatives: -1, -2

Order: 9 > 7 > 2 > 1 > -1 > -2

✔ Answer: 9, 7, 2, 1, -1, -2

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✔ Final Answers:

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1. From least to greatest:

a) -8, -3, 0, 4, 7, 10
b) -18, -11, -10, 1, 5, 16
c) -24, -6, -4, 0, 5, 12
d) -15, -1, 1, 3, 5, 15
e) -12, -9, -8, -5, 1, 2
f) -17, -15, -11, -5, 0, 2

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2. From greatest to least:

a) 27, 19, 5, 2, -7, -18
b) 19, 15, 7, 5, 5, -3, -17
c) 14, -1, -2, -4, -5, -24
d) 11, 2, -4, -5, -7, -9
e) 16, 9, 8, 5, -6, -10
f) 9, 7, 2, 1, -1, -2

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