Negative Numbers - Worksheet | Math 4th Grade - Free Printable

Let's solve the "Comparing and Ordering Negative Numbers Worksheet" step by step.

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Part 1: Comparing Pairs of Negative Numbers

We use the > (greater than) and < (less than) signs to compare the pairs.

Remember:
- On a number line, numbers increase from left to right.
- A larger negative number is closer to zero, so it’s actually greater than a more negative number.
- For example: -29 > -45 because -29 is closer to zero.

#### 1. -45 ___ -29
→ -45 is further from zero than -29 → -45 < -29
✔ Answer: -45 < -29

#### 2. -132 ___ -257
→ -132 is closer to zero than -257 → -132 > -257
✔ Answer: -132 > -257

#### 3. -14 ___ -13
→ -14 is further from zero than -13 → -14 < -13
✔ Answer: -14 < -13

#### 4. -1056 ___ -1605
→ -1056 is closer to zero than -1605 → -1056 > -1605
✔ Answer: -1056 > -1605

#### 5. -486 ___ -452
→ -486 is further from zero than -452 → -486 < -452
✔ Answer: -486 < -452

#### 6. -708 ___ -929
→ -708 is closer to zero than -929 → -708 > -929
✔ Answer: -708 > -929

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Part 2: Order the Numbers from Smallest to Largest

We will sort each list from most negative (smallest) to least negative or positive (largest).

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#### 1. -56, 32, -26, 0, 5, -13

Step-by-step:
- Negative numbers: -56, -26, -13
→ Order: -56 < -26 < -13
- Then zero: 0
- Then positives: 5 < 32

Final order:
-56, -26, -13, 0, 5, 32

✔ Answer: -56, -26, -13, 0, 5, 32

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#### 2. 12, -3, -18, 2, -24, 1

Negatives: -24, -18, -3
Order: -24 < -18 < -3
Positives: 1 < 2 < 12

Final order:
-24, -18, -3, 1, 2, 12

✔ Answer: -24, -18, -3, 1, 2, 12

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#### 3. -381, -271, -386, -225, -362, -202

All are negative. The largest number (closest to zero) is the greatest.

Compare absolute values:
- |-386| = 386 → most negative → smallest
- |-381| = 381
- |-362| = 362
- |-271| = 271
- |-225| = 225
- |-202| = 202 → closest to zero → largest

So order from smallest to largest:
-386, -381, -362, -271, -225, -202

✔ Answer: -386, -381, -362, -271, -225, -202

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#### 4. -72, -95, -19, -111, -68, -82

Absolute values:
- |-111| = 111 → smallest
- |-95| = 95
- |-82| = 82
- |-72| = 72
- |-68| = 68
- |-19| = 19 → largest (closest to zero)

So order from smallest to largest:
-111, -95, -82, -72, -68, -19

✔ Answer: -111, -95, -82, -72, -68, -19

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#### 5. -515, -493, -561, -472, -505, -529

All negative. Compare absolute values:

- |-561| = 561 → smallest (most negative)
- |-529| = 529
- |-515| = 515
- |-505| = 505
- |-493| = 493
- |-472| = 472 → largest (closest to zero)

So order from smallest to largest:
-561, -529, -515, -505, -493, -472

✔ Answer: -561, -529, -515, -505, -493, -472

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#### 6. -23, -91, -5, -89, -62, -27

Negative numbers only.

Absolute values:
- |-91| = 91 → smallest
- |-89| = 89
- |-62| = 62
- |-27| = 27
- |-23| = 23
- |-5| = 5 → largest (closest to zero)

So order from smallest to largest:
-91, -89, -62, -27, -23, -5

✔ Answer: -91, -89, -62, -27, -23, -5

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✔ Final Answers:

#### Part 1: Comparisons
1. -45 < -29
2. -132 > -257
3. -14 < -13
4. -1056 > -1605
5. -486 < -452
6. -708 > -929

#### Part 2: Ordering (Smallest to Largest)
1. -56, -26, -13, 0, 5, 32
2. -24, -18, -3, 1, 2, 12
3. -386, -381, -362, -271, -225, -202
4. -111, -95, -82, -72, -68, -19
5. -561, -529, -515, -505, -493, -472
6. -91, -89, -62, -27, -23, -5

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