Math worksheet for ordering decimals in ascending and descending order.

Sure! Let’s solve this worksheet step by step.

---

## ✔ PART 1: Arrange the decimals in ascending order (smallest to largest)

We are given these 15 decimals:

```
5.7 2.78 0.26 1.8 9.23
2.09 0.1 3.45 2.89 3.5
7.15 0.76 0.01 2.8 10.5
```

Step-by-step Strategy:

To compare decimals, we look at:
- Whole number part first (left of decimal)
- Then tenths, hundredths, etc., if whole parts are equal

Let’s list them all and sort:

First, group by whole number:

- 0.x: 0.01, 0.1, 0.26, 0.76
- 1.x: 1.8
- 2.x: 2.09, 2.78, 2.8, 2.89
- 3.x: 3.45, 3.5
- 5.x: 5.7
- 7.x: 7.15
- 9.x: 9.23
- 10.x: 10.5

Now, sort within groups:

- 0.01 < 0.1 < 0.26 < 0.76
- 2.09 < 2.78 < 2.8 < 2.89 (note: 2.8 = 2.80 → so 2.78 < 2.80 < 2.89)
- 3.45 < 3.5 (3.5 = 3.50)

Now put all together in ascending order:

✔ Ascending Order Answer:

```
0.01, 0.1, 0.26, 0.76, 1.8, 2.09, 2.78, 2.8, 2.89, 3.45, 3.5, 5.7, 7.15, 9.23, 10.5
```

---

## ✔ PART 2: Arrange the decimals in descending order (largest to smallest)

Given decimals:

```
2.94 0.94 3.24 11.7 9.6
0.57 2.89 5.4 2.09 4.07
3.78 0.8 4.09 2.56 0.76
```

Again, let’s group by whole number:

- 11.x: 11.7
- 9.x: 9.6
- 5.x: 5.4
- 4.x: 4.07, 4.09
- 3.x: 3.24, 3.78
- 2.x: 2.94, 2.89, 2.09, 2.56
- 0.x: 0.94, 0.57, 0.8, 0.76

Sort within groups (descending):

- 11.7
- 9.6
- 5.4
- 4.09 > 4.07
- 3.78 > 3.24
- 2.94 > 2.89 > 2.56 > 2.09
- 0.94 > 0.8 > 0.76 > 0.57

Now combine in descending order:

✔ Descending Order Answer:

```
11.7, 9.6, 5.4, 4.09, 4.07, 3.78, 3.24, 2.94, 2.89, 2.56, 2.09, 0.94, 0.8, 0.76, 0.57
```

---

## 📝 Final Answers to Fill In:

Ascending Order (Top Section):

Fill in the boxes row by row as:

Row 1:
`0.01` `0.1` `0.26` `0.76` `1.8`

Row 2:
`2.09` `2.78` `2.8` `2.89` `3.45`

Row 3:
`3.5` `5.7` `7.15` `9.23` `10.5`

*(Note: The original layout has 5 columns × 3 rows — so we fill left to right, top to bottom with sorted list)*

---

Descending Order (Bottom Section):

Fill in the boxes row by row as:

Row 1:
`11.7` `9.6` `5.4` `4.09` `4.07`

Row 2:
`3.78` `3.24` `2.94` `2.89` `2.56`

Row 3:
`2.09` `0.94` `0.8` `0.76` `0.57`

---

✔ You’re all set! This is how you solve ordering decimals — compare digit by digit from left to right, and remember to pad with zeros if needed for easier comparison (e.g., 2.8 = 2.80).

Let me know if you’d like a visual chart or printable version!