Let's solve each part of the worksheet step by step.
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Part 1: Comparing Integers using < or >
We use the number line to compare integers. On a number line:
- Numbers to the
right are
greater.
- Numbers to the
left are
lesser.
#### 1) $-9 \quad \boxed{<} \quad -2$
Explanation: $-9$ is to the left of $-2$, so $-9 < -2$
#### 2) $0 \quad \boxed{<} \quad 4$
Explanation: $0$ is to the left of $4$, so $0 < 4$
#### 3) $-2 \quad \boxed{<} \quad -1$
Explanation: $-2$ is to the left of $-1$, so $-2 < -1$
#### 4) $4 \quad \boxed{>} \quad -10$
Explanation: $4$ is to the right of $-10$, so $4 > -10$
#### 5) $-5 \quad \boxed{<} \quad -4$
Explanation: $-5$ is to the left of $-4$, so $-5 < -4$
#### 6) $-1 \quad \boxed{>} \quad -5$
Explanation: $-1$ is to the right of $-5$, so $-1 > -5$
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Part 2: Order from least to greatest
We list numbers from smallest (most negative) to largest (most positive).
#### 7) $0, 9, -7, -5$
Order: $-7, -5, 0, 9$
(From left to right on number line)
#### 8) $-10, -7, 7, 2$
Order: $-10, -7, 2, 7$
#### 9) $-1, 1, 7, 6$
Order: $-1, 1, 6, 7$
#### 10) $0, -5, 5, -8$
Order: $-8, -5, 0, 5$
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Part 3: Order from greatest to least
Now we go from largest to smallest.
#### 11) $-25, -15, 10, 4$
Order: $10, 4, -15, -25$
#### 12) $-8, 11, -10, -1$
Order: $11, -1, -8, -10$
#### 13) $-77, -17, 0, 8$
Order: $8, 0, -17, -77$
#### 14) $-11, 18, -22, 4$
Order: $18, 4, -11, -22$
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✔ Final Answers:
####
Comparing:
1) $-9 < -2$
2) $0 < 4$
3) $-2 < -1$
4) $4 > -10$
5) $-5 < -4$
6) $-1 > -5$
####
Order from least to greatest:
7) $-7, -5, 0, 9$
8) $-10, -7, 2, 7$
9) $-1, 1, 6, 7$
10) $-8, -5, 0, 5$
####
Order from greatest to least:
11) $10, 4, -15, -25$
12) $11, -1, -8, -10$
13) $8, 0, -17, -77$
14) $18, 4, -11, -22$
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Parent Tip: Review the logic above to help your child master the concept of ordering rational numbers worksheet pdf.