Ordering Positive and Negative Numbers - Worksheet | Maths Year 5 - Free Printable

Problem Overview:

The worksheet requires ordering numbers (both positive and negative) in two ways:
1. From smallest to largest.
2. From largest to smallest.

We will solve each part step by step.

---

Part 1: Ordering Numbers from Smallest to Largest

#### Row 1: `-3, -78, 81, 54, -54, 2`
- Step 1: Identify the smallest number. Negative numbers are smaller than positive numbers, and among negatives, the one with the larger absolute value is smaller.
- The smallest number is `-78`.
- Step 2: Next smallest is `-54`, then `-3`.
- Step 3: Among the positive numbers, order them from smallest to largest: `2, 54, 81`.

Ordered list: `-78, -54, -3, 2, 54, 81`

#### Row 2: `8, 42, -31, 17, -11, 25`
- Step 1: Identify the smallest number. The negative numbers are `-31` and `-11`. The smallest is `-31`.
- Step 2: Next smallest is `-11`.
- Step 3: Among the positive numbers, order them from smallest to largest: `8, 17, 25, 42`.

Ordered list: `-31, -11, 8, 17, 25, 42`

#### Row 3: `-5, -23, -103, 0, -58, -18`
- Step 1: Identify the smallest number. The negative numbers are `-5, -23, -103, -58, -18`. The smallest is `-103`.
- Step 2: Next smallest is `-58`, then `-23`, `-18`, and `-5`.
- Step 3: The only non-negative number is `0`.

Ordered list: `-103, -58, -23, -18, -5, 0`

#### Row 4: `33, -3, -13, 3, -33, 13`
- Step 1: Identify the smallest number. The negative numbers are `-3, -13, -33`. The smallest is `-33`.
- Step 2: Next smallest is `-13`, then `-3`.
- Step 3: Among the positive numbers, order them from smallest to largest: `3, 13, 33`.

Ordered list: `-33, -13, -3, 3, 13, 33`

#### Row 5: `-121, -352, 537, 54, -15, 780`
- Step 1: Identify the smallest number. The negative numbers are `-121, -352, -15`. The smallest is `-352`.
- Step 2: Next smallest is `-121`, then `-15`.
- Step 3: Among the positive numbers, order them from smallest to largest: `54, 537, 780`.

Ordered list: `-352, -121, -15, 54, 537, 780`

---

Part 2: Ordering Numbers from Largest to Smallest

#### Row 1: `-12, -5, -8, 13, -5, -7`
- Step 1: Identify the largest number. The only positive number is `13`.
- Step 2: Among the negative numbers, the largest (closest to zero) is `-5` (appears twice).
- Step 3: Next largest is `-7`, then `-8`, and finally `-12`.

Ordered list: `13, -5, -5, -7, -8, -12`

#### Row 2: `-31, -28, -112, -56, -18, 0`
- Step 1: Identify the largest number. The only non-negative number is `0`.
- Step 2: Among the negative numbers, the largest (closest to zero) is `-18`.
- Step 3: Next largest is `-28`, then `-31`, `-56`, and finally `-112`.

Ordered list: `0, -18, -28, -31, -56, -112`

#### Row 3: `12, 0, 23, -21, -17, -3`
- Step 1: Identify the largest number. The positive numbers are `12` and `23`. The largest is `23`.
- Step 2: Next largest is `12`.
- Step 3: The next largest is `0`.
- Step 4: Among the negative numbers, the largest (closest to zero) is `-3`, then `-17`, and finally `-21`.

Ordered list: `23, 12, 0, -3, -17, -21`

#### Row 4: `-97, 85, 51, 2, -6, -47`
- Step 1: Identify the largest number. The positive numbers are `85, 51, 2`. The largest is `85`.
- Step 2: Next largest is `51`, then `2`.
- Step 3: Among the negative numbers, the largest (closest to zero) is `-6`, then `-47`, and finally `-97`.

Ordered list: `85, 51, 2, -6, -47, -97`

#### Row 5: `-25, -6, -24, -69, -8, -15`
- Step 1: Identify the largest number. Among the negative numbers, the largest (closest to zero) is `-6`.
- Step 2: Next largest is `-8`, then `-15`, `-24`, `-25`, and finally `-69`.

Ordered list: `-6, -8, -15, -24, -25, -69`

---

Final Answer:

```plaintext
Part 1: From smallest to largest
1. -78, -54, -3, 2, 54, 81
2. -31, -11, 8, 17, 25, 42
3. -103, -58, -23, -18, -5, 0
4. -33, -13, -3, 3, 13, 33
5. -352, -121, -15, 54, 537, 780

Part 2: From largest to smallest
1. 13, -5, -5, -7, -8, -12
2. 0, -18, -28, -31, -56, -112
3. 23, 12, 0, -3, -17, -21
4. 85, 51, 2, -6, -47, -97
5. -6, -8, -15, -24, -25, -69
```

Boxed Final Answer:
```boxed{
Part 1:
1. -78, -54, -3, 2, 54, 81
2. -31, -11, 8, 17, 25, 42
3. -103, -58, -23, -18, -5, 0
4. -33, -13, -3, 3, 13, 33
5. -352, -121, -15, 54, 537, 780

Part 2:
1. 13, -5, -5, -7, -8, -12
2. 0, -18, -28, -31, -56, -112
3. 23, 12, 0, -3, -17, -21
4. 85, 51, 2, -6, -47, -97
5. -6, -8, -15, -24, -25, -69
}
```