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Ordering Integers worksheet with exercises for arranging positive and negative numbers.

A worksheet titled "Ordering Integers" from Math Monks, featuring two sections where students order sets of integers from least to greatest and greatest to least.

A worksheet titled "Ordering Integers" from Math Monks, featuring two sections where students order sets of integers from least to greatest and greatest to least.

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Show Answer Key & Explanations Step-by-step solution for: Ordering Integers Worksheet - Math Monks
Let’s solve each part step by step.

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

We need to arrange the numbers so that the smallest (most negative) comes first, and the largest (most positive) comes last.

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

List them:
-8 is smallest → then -3 → then 0 → then 4 → then 7 → then 10

Answer: -8, -3, 0, 4, 7, 10

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

Smallest to largest:
-18 → -11 → -10 → 1 → 5 → 16

Answer: -18, -11, -10, 1, 5, 16

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

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

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

Already almost in order — just check:

-12 < -9 < -8 < -5 < 1 < 2 → yes!

Answer: -12, -9, -8, -5, 1, 2

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

Find smallest: -17 → then -15 → then -11 → then -5 → then 0 → then 2

Answer: -17, -15, -11, -5, 0, 2

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

Now we go backwards — biggest number first, smallest last.

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

Greatest to least:
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

Note: two 5s — keep both.

Greatest: 19 → 15 → 7 → 5 → 5 → -3 → -17

Answer: 19, 15, 7, 5, 5, -3, -17

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

Greatest to least:
14 → -1 → -2 → -4 → -5 → -24

Wait — let’s double-check negatives:
-1 > -2 > -4 > -5 > -24 → correct.

Answer: 14, -1, -2, -4, -5, -24

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

Greatest: 11 → 2 → -4 → -5 → -7 → -9

Check:
11 > 2 > -4 > -5 > -7 > -9 → yes.

Answer: 11, 2, -4, -5, -7, -9

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

Greatest to least:
16 → 9 → 8 → 5 → -6 → -10

Answer: 16, 9, 8, 5, -6, -10

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

Greatest to least:
9 → 7 → 2 → 1 → -1 → -2

Answer: 9, 7, 2, 1, -1, -2

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Final Answer:

1. 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

2. 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
Parent Tip: Review the logic above to help your child master the concept of integers worksheet pdf.
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