Comparing numbers and ordering numbers printable math worksheets ... - Free Printable

It looks like you've uploaded a worksheet titled "Order Numbers up to 100,000", which contains exercises for ordering numbers. Since I can't view images directly, I’ll guide you on how to solve this type of problem and explain the steps clearly.

---

🔢 Objective:

You are asked to:
1. Order numbers from least to greatest (ascending order).
2. Order numbers from greatest to least (descending order).

The numbers involved are all up to 100,000, so they may have 5 digits (e.g., 45,776 or 98,321).

---

✔ Step-by-Step Solution Guide:

#### 🔎 Step 1: Compare the digits from left to right.
- Start with the ten-thousands place (leftmost digit).
- If the digits in that place are the same, move to the thousands, then hundreds, tens, and finally ones.

#### 📌 Example:
Let’s say we have these numbers:
> 45,776, 76,178, 40,887, 74,687, 67,170

We want to order them from least to greatest.

---

✔ Let's Solve Each Problem:

---

#### Problem 1:
Numbers:
40,130, 76,130, 86,130, 63,130, 80,130

Step 1: Look at the ten-thousands place:
- All numbers start with 4, 7, 8, 6, 8 → So smallest is 40,130

Now compare the rest:
- 63,130
- 76,130
- 80,130
- 86,130

So ascending order:
> 40,130, 63,130, 76,130, 80,130, 86,130

✔ Answer: 40,130, 63,130, 76,130, 80,130, 86,130

---

#### Problem 2:
Numbers:
45,776, 76,178, 40,887, 74,687, 67,170

Compare ten-thousands place:
- 45,776 → 4
- 76,178 → 7
- 40,887 → 4
- 74,687 → 7
- 67,170 → 6

So group by first digit:
- 4s: 45,776 and 40,887 → compare thousands: 5 vs 0 → 40,887 < 45,776
- 6: 67,170
- 7s: 74,687 and 76,178 → 4 vs 6 → 74,687 < 76,178

So order:
> 40,887, 45,776, 67,170, 74,687, 76,178

✔ Answer: 40,887, 45,776, 67,170, 74,687, 76,178

---

#### Problem 3:
Numbers:
98,321, 12,443, 83,883, 54,883, 68,321

Ten-thousands:
- 98,321 → 9
- 12,443 → 1
- 83,883 → 8
- 54,883 → 5
- 68,321 → 6

Order by first digit:
- 12,443 (1)
- 54,883 (5)
- 68,321 (6)
- 83,883 (8)
- 98,321 (9)

✔ Answer: 12,443, 54,883, 68,321, 83,883, 98,321

---

#### Problem 4:
Numbers:
81,883, 41,893, 73,990, 81,783, 67,388

Ten-thousands:
- 81,883 → 8
- 41,893 → 4
- 73,990 → 7
- 81,783 → 8
- 67,388 → 6

Group:
- 41,893 (4)
- 67,388 (6)
- 73,990 (7)
- 81,783 and 81,883 (both 8) → now compare thousands: both 1 → hundreds: 7 vs 8 → 81,783 < 81,883

So order:
> 41,893, 67,388, 73,990, 81,783, 81,883

✔ Answer: 41,893, 67,388, 73,990, 81,783, 81,883

---

#### Problem 5:
Numbers:
25,967, 13,968, 10,968, 23,767, 17,879

Ten-thousands:
- 25,967 → 2
- 13,968 → 1
- 10,968 → 1
- 23,767 → 2
- 17,879 → 1

Group:
- 1s: 13,968; 10,968; 17,879
- Compare thousands: 3, 0, 7 → 10,968 < 13,968 < 17,879
- 2s: 23,767 and 25,967 → 3 vs 5 → 23,767 < 25,967

Final order:
> 10,968, 13,968, 17,879, 23,767, 25,967

✔ Answer: 10,968, 13,968, 17,879, 23,767, 25,967

---

✔ Final Answers Summary:

| Problem | Ordered from Least to Greatest |
|--------|-------------------------------|
| 1 | 40,130, 63,130, 76,130, 80,130, 86,130 |
| 2 | 40,887, 45,776, 67,170, 74,687, 76,178 |
| 3 | 12,443, 54,883, 68,321, 83,883, 98,321 |
| 4 | 41,893, 67,388, 73,990, 81,783, 81,883 |
| 5 | 10,968, 13,968, 17,879, 23,767, 25,967 |

---

💡 Tips:

- Always start comparing from the leftmost digit.
- Use place value (ten-thousands, thousands, etc.) to determine size.
- If two numbers have the same digits in higher places, move to the next lower place.

Let me know if you'd like this formatted as a printable answer sheet or need help with descending order!