Standard Form Up to 5-Digits Sheet 2: Convert numbers from expanded form to standard form.
Math worksheet titled "Standard Form Up to 5-Digits Sheet 2" with exercises to convert numbers from expanded form to standard form, featuring 20 problems and an example.
GIF
1000×1294
97.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #483388
⭐
Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Place Value Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Place Value Worksheets
Problem Overview:
The task is to convert numbers described in expanded form (using words like "thousands," "hundreds," "tens," and "ones") into their standard numerical form. The example provided is:
- Example: 7 ten thousands + 3 thousands + 18 tens = 73,180
We need to follow the same process for each of the given problems.
---
Solution Approach:
1. Identify the place values:
- "Ten thousands" corresponds to the 5th digit from the right.
- "Thousands" corresponds to the 4th digit from the right.
- "Hundreds" corresponds to the 3rd digit from the right.
- "Tens" corresponds to the 2nd digit from the right.
- "Ones" corresponds to the 1st digit from the right.
2. Convert each component:
- Multiply the coefficient by the corresponding place value.
- Sum all components to get the final number.
3. Handle special cases:
- If a component exceeds its place value (e.g., 18 tens), break it down into higher place values (e.g., 18 tens = 1 hundred + 8 tens).
4. Write the final number in standard form.
---
Detailed Solutions:
#### 1. 8 thousands + 14 tens + 5 ones
- Breakdown:
- 8 thousands = 8,000
- 14 tens = 140 (1 hundred + 4 tens)
- 5 ones = 5
- Sum:
$$
8,000 + 140 + 5 = 8,145
$$
- Answer: 8,145
#### 2. 15 thousands + 6 hundreds + 5 tens + 9 ones
- Breakdown:
- 15 thousands = 15,000
- 6 hundreds = 600
- 5 tens = 50
- 9 ones = 9
- Sum:
$$
15,000 + 600 + 50 + 9 = 15,659
$$
- Answer: 15,659
#### 3. 4 ten thousands + 13 hundreds + 5 ones
- Breakdown:
- 4 ten thousands = 40,000
- 13 hundreds = 1,300 (1 thousand + 3 hundreds)
- 5 ones = 5
- Sum:
$$
40,000 + 1,300 + 5 = 41,305
$$
- Answer: 41,305
#### 4. 2 ten thousands + 8 hundreds + 29 ones
- Breakdown:
- 2 ten thousands = 20,000
- 8 hundreds = 800
- 29 ones = 29 (2 tens + 9 ones)
- Sum:
$$
20,000 + 800 + 29 = 20,829
$$
- Answer: 20,829
#### 5. 72 thousands + 5 hundreds + 8 tens + 2 ones
- Breakdown:
- 72 thousands = 72,000
- 5 hundreds = 500
- 8 tens = 80
- 2 ones = 2
- Sum:
$$
72,000 + 500 + 80 + 2 = 72,582
$$
- Answer: 72,582
#### 6. 6 ten thousands + 28 hundreds + 4 tens
- Breakdown:
- 6 ten thousands = 60,000
- 28 hundreds = 2,800 (2 thousands + 8 hundreds)
- 4 tens = 40
- Sum:
$$
60,000 + 2,800 + 40 = 62,840
$$
- Answer: 62,840
#### 7. 8 ten thousands + 2 hundreds + 9 ones
- Breakdown:
- 8 ten thousands = 80,000
- 2 hundreds = 200
- 9 ones = 9
- Sum:
$$
80,000 + 200 + 9 = 80,209
$$
- Answer: 80,209
#### 8. 37 thousands + 6 tens
- Breakdown:
- 37 thousands = 37,000
- 6 tens = 60
- Sum:
$$
37,000 + 60 = 37,060
$$
- Answer: 37,060
#### 9. 4 ten thousands + 28 hundreds + 15 ones
- Breakdown:
- 4 ten thousands = 40,000
- 28 hundreds = 2,800 (2 thousands + 8 hundreds)
- 15 ones = 15 (1 ten + 5 ones)
- Sum:
$$
40,000 + 2,800 + 15 = 42,815
$$
- Answer: 42,815
#### 10. 36 thousands + 9 hundreds + 23 ones
- Breakdown:
- 36 thousands = 36,000
- 9 hundreds = 900
- 23 ones = 23 (2 tens + 3 ones)
- Sum:
$$
36,000 + 900 + 23 = 36,923
$$
- Answer: 36,923
#### 11. 5 ten thousands + 1 thousand + 22 tens + 8 ones
- Breakdown:
- 5 ten thousands = 50,000
- 1 thousand = 1,000
- 22 tens = 220 (2 hundreds + 2 tens)
- 8 ones = 8
- Sum:
$$
50,000 + 1,000 + 220 + 8 = 51,228
$$
- Answer: 51,228
#### 12. 9 ten thousands + 47 hundreds + 3 tens + 6 ones
- Breakdown:
- 9 ten thousands = 90,000
- 47 hundreds = 4,700 (4 thousands + 7 hundreds)
- 3 tens = 30
- 6 ones = 6
- Sum:
$$
90,000 + 4,700 + 30 + 6 = 94,736
$$
- Answer: 94,736
#### 13. 2 ten thousands + 63 tens
- Breakdown:
- 2 ten thousands = 20,000
- 63 tens = 630 (6 hundreds + 3 tens)
- Sum:
$$
20,000 + 630 = 20,630
$$
- Answer: 20,630
#### 14. 4 ten thousands + 12 hundreds + 7 ones
- Breakdown:
- 4 ten thousands = 40,000
- 12 hundreds = 1,200 (1 thousand + 2 hundreds)
- 7 ones = 7
- Sum:
$$
40,000 + 1,200 + 7 = 41,207
$$
- Answer: 41,207
#### 15. 68 thousands + 9 hundreds + 53 ones
- Breakdown:
- 68 thousands = 68,000
- 9 hundreds = 900
- 53 ones = 53 (5 tens + 3 ones)
- Sum:
$$
68,000 + 900 + 53 = 68,953
$$
- Answer: 68,953
#### 16. 7 ten thousands + 28 tens + 4 ones
- Breakdown:
- 7 ten thousands = 70,000
- 28 tens = 280 (2 hundreds + 8 tens)
- 4 ones = 4
- Sum:
$$
70,000 + 280 + 4 = 70,284
$$
- Answer: 70,284
#### 17. 2 ten thousands + 6 thousands + 7 hundreds + 62 ones
- Breakdown:
- 2 ten thousands = 20,000
- 6 thousands = 6,000
- 7 hundreds = 700
- 62 ones = 62 (6 tens + 2 ones)
- Sum:
$$
20,000 + 6,000 + 700 + 62 = 26,762
$$
- Answer: 26,762
#### 18. 1 ten thousand + 46 hundreds + 3 ones
- Breakdown:
- 1 ten thousand = 10,000
- 46 hundreds = 4,600 (4 thousands + 6 hundreds)
- 3 ones = 3
- Sum:
$$
10,000 + 4,600 + 3 = 14,603
$$
- Answer: 14,603
#### 19. 5 ten thousands + 86 hundreds + 19 ones
- Breakdown:
- 5 ten thousands = 50,000
- 86 hundreds = 8,600 (8 thousands + 6 hundreds)
- 19 ones = 19 (1 ten + 9 ones)
- Sum:
$$
50,000 + 8,600 + 19 = 58,619
$$
- Answer: 58,619
#### 20. 8 ten thousands + 17 hundreds + 5 tens
- Breakdown:
- 8 ten thousands = 80,000
- 17 hundreds = 1,700 (1 thousand + 7 hundreds)
- 5 tens = 50
- Sum:
$$
80,000 + 1,700 + 50 = 81,750
$$
- Answer: 81,750
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1) & 8,145 \\
2) & 15,659 \\
3) & 41,305 \\
4) & 20,829 \\
5) & 72,582 \\
6) & 62,840 \\
7) & 80,209 \\
8) & 37,060 \\
9) & 42,815 \\
10) & 36,923 \\
11) & 51,228 \\
12) & 94,736 \\
13) & 20,630 \\
14) & 41,207 \\
15) & 68,953 \\
16) & 70,284 \\
17) & 26,762 \\
18) & 14,603 \\
19) & 58,619 \\
20) & 81,750 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fourth grade homework assignments.