Understanding place value, up to 3-digit numbers | 2nd grade Math ... - Free Printable

Problem Analysis:

The task involves understanding and applying the concept of place value in numbers. Place value refers to the value of each digit in a number based on its position (e.g., ones, tens, hundreds, etc.). The problem requires writing numbers in expanded form, identifying digits in specific places, and forming the largest and smallest numbers from given digits.

Let's break down each part of the problem step by step.

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Part 1: Write the correct number in the box.

#### Example:
- 634 = 600 + 30 + 4
- Here, the number 634 is broken down into its place values:
- 600 (hundreds place)
- 30 (tens place)
- 4 (ones place)

#### Task:
Write the correct number in the box for the following examples:

1. 295 = 200 + 20 + 5
- Breakdown:
- 200 (hundreds place)
- 20 (tens place)
- 5 (ones place)
- Correct number: 295

2. 653 = 500 + 50 + 3
- Breakdown:
- 500 (hundreds place)
- 50 (tens place)
- 3 (ones place)
- Correct number: 553

3. 497 = 400 + 90 + 7
- Breakdown:
- 400 (hundreds place)
- 90 (tens place)
- 7 (ones place)
- Correct number: 497

4. 218 = 200 + 20 + 8
- Breakdown:
- 200 (hundreds place)
- 20 (tens place)
- 8 (ones place)
- Correct number: 218

5. 689 = 600 + 80 + 9
- Breakdown:
- 600 (hundreds place)
- 80 (tens place)
- 9 (ones place)
- Correct number: 689

6. 715 = 700 + 10 + 5
- Breakdown:
- 700 (hundreds place)
- 10 (tens place)
- 5 (ones place)
- Correct number: 715

7. 529 = 500 + 20 + 9
- Breakdown:
- 500 (hundreds place)
- 20 (tens place)
- 9 (ones place)
- Correct number: 529

8. 953 = 900 + 50 + 3
- Breakdown:
- 900 (hundreds place)
- 50 (tens place)
- 3 (ones place)
- Correct number: 953

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Part 2: Write the number that is in the same word.

#### Example:
- Two hundred, seven tens, three ones → 273
- Two hundred: 200
- Seven tens: 70
- Three ones: 3
- Combined: 200 + 70 + 3 = 273

#### Task:
Write the number that is in the same word for the following descriptions:

1. Three hundreds, two tens, zero ones
- Three hundreds: 300
- Two tens: 20
- Zero ones: 0
- Combined: 300 + 20 + 0 = 320

2. Six hundreds, zero tens, one one
- Six hundreds: 600
- Zero tens: 0
- One one: 1
- Combined: 600 + 0 + 1 = 601

3. Eight hundreds, two tens, three ones
- Eight hundreds: 800
- Two tens: 20
- Three ones: 3
- Combined: 800 + 20 + 3 = 823

4. Seven hundreds, six tens, eight ones
- Seven hundreds: 700
- Six tens: 60
- Eight ones: 8
- Combined: 700 + 60 + 8 = 768

5. Nine hundreds, four tens, six ones
- Nine hundreds: 900
- Four tens: 40
- Six ones: 6
- Combined: 900 + 40 + 6 = 946

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Part 3: Make the greatest and smallest number from the cards.

#### Cards:
- 2, 8, 5

#### Task:
1. Make the greatest number:
- To form the greatest number, arrange the digits in descending order.
- Descending order: 8, 5, 2
- Greatest number: 852

2. Make the smallest number:
- To form the smallest number, arrange the digits in ascending order.
- Ascending order: 2, 5, 8
- Smallest number: 258

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Final Answers:

1. Part 1:
- 295 = 200 + 20 + 5 → 295
- 653 = 500 + 50 + 3 → 553
- 497 = 400 + 90 + 7 → 497
- 218 = 200 + 20 + 8 → 218
- 689 = 600 + 80 + 9 → 689
- 715 = 700 + 10 + 5 → 715
- 529 = 500 + 20 + 9 → 529
- 953 = 900 + 50 + 3 → 953

2. Part 2:
- Three hundreds, two tens, zero ones → 320
- Six hundreds, zero tens, one one → 601
- Eight hundreds, two tens, three ones → 823
- Seven hundreds, six tens, eight ones → 768
- Nine hundreds, four tens, six ones → 946

3. Part 3:
- Greatest number from 2, 8, 5 → 852
- Smallest number from 2, 8, 5 → 258

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Boxed Final Answer:

\[
\boxed{295, 553, 497, 218, 689, 715, 529, 953, 320, 601, 823, 768, 946, 852, 258}
\]