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Students can practice comparing large numbers by cutting out these cards and arranging them from least to greatest.

Math worksheet with twelve cards containing six-digit numbers for students to cut out and order from least to greatest.

Math worksheet with twelve cards containing six-digit numbers for students to cut out and order from least to greatest.

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Show Answer Key & Explanations Step-by-step solution for: Place Value Worksheets (6-Digit Numbers)

Problem:


The task is to order the given numbers from least to greatest. The numbers are:

- 110,564
- 816,713
- 23,685
- 816,731
- 329,794
- 101,564
- 236,850
- 392,749
- 816,731
- 861,731
- 101,654
- 392,794

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Solution Approach:


1. List all the numbers: Write down all the numbers provided.
2. Compare the numbers: Start by comparing the digits in each place value (hundreds of thousands, ten thousands, thousands, etc.) to determine their relative sizes.
3. Order the numbers: Arrange the numbers from smallest to largest.

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Step-by-Step Solution:



#### Step 1: List the numbers
The numbers are:
110,564, 816,713, 23,685, 816,731, 329,794, 101,564, 236,850, 392,749, 816,731, 861,731, 101,654, 392,794

#### Step 2: Compare and Order
We will compare the numbers digit by digit, starting from the highest place value (hundreds of thousands).

1. Identify the smallest number:
- The smallest number is 23,685 because it is the only number with a five-digit length, while all others are six-digit numbers.

2. Next smallest numbers:
- Compare the remaining numbers: 110,564, 101,564, 101,654.
- 101,564 < 101,654 < 110,564.
- So, the next three numbers in order are: 101,564, 101,654, 110,564.

3. Continue comparing:
- Next, compare: 236,850, 329,794, 392,749, 392,794.
- 236,850 < 329,794 < 392,749 < 392,794.
- So, the next four numbers in order are: 236,850, 329,794, 392,749, 392,794.

4. Largest numbers:
- Compare: 816,713, 816,731, 816,731, 861,731.
- 816,713 < 816,731 = 816,731 < 861,731.
- So, the last four numbers in order are: 816,713, 816,731, 816,731, 861,731.

#### Step 3: Final Ordered List
Combining all the steps, the numbers ordered from least to greatest are:
23,685, 101,564, 101,654, 110,564, 236,850, 329,794, 392,749, 392,794, 816,713, 816,731, 816,731, 861,731.

---

Final Answer:


\[
\boxed{23,685, 101,564, 101,654, 110,564, 236,850, 329,794, 392,749, 392,794, 816,713, 816,731, 816,731, 861,731}
\]
Parent Tip: Review the logic above to help your child master the concept of ordering 6 digit numbers worksheet.
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