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Worksheet for ordering decimals in ascending and descending order.

A worksheet titled "Ordering Decimals" with exercises to arrange decimals in ascending and descending order, featuring blank boxes for answers and a QR code at the bottom right.

A worksheet titled "Ordering Decimals" with exercises to arrange decimals in ascending and descending order, featuring blank boxes for answers and a QR code at the bottom right.

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Show Answer Key & Explanations Step-by-step solution for: Ordering Decimals - Worksheet Digital
Sure! Let’s solve the 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 method:


1. Compare the whole number part first.
2. If whole numbers are equal, compare the tenths, then hundredths, etc.

Let’s list them and sort:

Start with smallest:

- 0.01 (smallest — less than 1)
- 0.1
- 0.26
- 0.76
- 1.8
- 2.09
- 2.78
- 2.8 → same as 2.80 → so after 2.78
- 2.89
- 3.45
- 3.5 → same as 3.50 → so after 3.45
- 5.7
- 7.15
- 9.23
- 10.5 (largest)

Ascending Order:

```
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
```

Now, place them in the boxes row by row as they appear on the worksheet:

First row (5 numbers):
`0.01`, `0.1`, `0.26`, `0.76`, `1.8`

Second row:
`2.09`, `2.78`, `2.8`, `2.89`, `3.45`

Third row:
`3.5`, `5.7`, `7.15`, `9.23`, `10.5`

> ⚠️ Note: The worksheet has 3 rows of 5 boxes each — total 15 boxes — perfect for our 15 numbers.

---

## 📌 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
```

Step-by-step:



Find the largest first:

- 11.7 (biggest — over 10)
- 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 (smallest)

Descending Order:

```
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, fill the boxes row by row:

First row (5 numbers):
`11.7`, `9.6`, `5.4`, `4.09`, `4.07`

Second row:
`3.78`, `3.24`, `2.94`, `2.89`, `2.56`

Third row:
`2.09`, `0.94`, `0.8`, `0.76`, `0.57`

---

## Final Answer Summary:

---

🔢 Ascending Order (Smallest to Largest)



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`

---

🔢 Descending Order (Largest to Smallest)



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`

---

## 🧠 Explanation Recap:

- To compare decimals, start from the leftmost digit (whole number part).
- If whole parts are equal, move to tenths, then hundredths, etc.
- Ascending = smallest to largest.
- Descending = largest to smallest.
- Always line up decimal points mentally or on paper if needed.

You can now confidently fill in the worksheet boxes with these answers!

Let me know if you want a printable version or explanation for kids! 😊
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet.
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