Math worksheet designed to help students practice converting standard 5-digit numbers into their expanded forms.
Place value worksheet for writing expanded form of 5-digit numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Math Expanded Form Worksheets for Grade 4 - Kidpid
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Show Answer Key & Explanations
Step-by-step solution for: Math Expanded Form Worksheets for Grade 4 - Kidpid
The task involves writing the expanded form of the given numbers. The expanded form breaks down a number by showing the value of each digit according to its place value (ones, tens, hundreds, thousands, etc.).
- Ones: \(1\)
- Tens: \(10\)
- Hundreds: \(100\)
- Thousands: \(1000\)
- Ten Thousands: \(10000\)
#### 1. 74232
- Break it down by place value:
- \(7\) in the ten-thousands place: \(7 \times 10000 = 70000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(2\) in the hundreds place: \(2 \times 100 = 200\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(70000 + 4000 + 200 + 30 + 2\)
#### 2. 23809
- Break it down by place value:
- \(2\) in the ten-thousands place: \(2 \times 10000 = 20000\)
- \(3\) in the thousands place: \(3 \times 1000 = 3000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(0\) in the tens place: \(0 \times 10 = 0\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(20000 + 3000 + 800 + 0 + 9\)
#### 3. 14093
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(0\) in the hundreds place: \(0 \times 100 = 0\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(3\) in the ones place: \(3 \times 1 = 3\)
- Expanded form: \(10000 + 4000 + 0 + 90 + 3\)
#### 4. 58384
- Break it down by place value:
- \(5\) in the ten-thousands place: \(5 \times 10000 = 50000\)
- \(8\) in the thousands place: \(8 \times 1000 = 8000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(4\) in the ones place: \(4 \times 1 = 4\)
- Expanded form: \(50000 + 8000 + 300 + 80 + 4\)
#### 5. 42681
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(6\) in the hundreds place: \(6 \times 100 = 600\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(40000 + 2000 + 600 + 80 + 1\)
#### 6. 38469
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(8\) in the thousands place: \(8 \times 1000 = 8000\)
- \(4\) in the hundreds place: \(4 \times 100 = 400\)
- \(6\) in the tens place: \(6 \times 10 = 60\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(30000 + 8000 + 400 + 60 + 9\)
#### 7. 32801
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(0\) in the tens place: \(0 \times 10 = 0\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(30000 + 2000 + 800 + 0 + 1\)
#### 8. 42791
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(7\) in the hundreds place: \(7 \times 100 = 700\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(40000 + 2000 + 700 + 90 + 1\)
#### 9. 19910
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(9\) in the thousands place: \(9 \times 1000 = 9000\)
- \(9\) in the hundreds place: \(9 \times 100 = 900\)
- \(1\) in the tens place: \(1 \times 10 = 10\)
- \(0\) in the ones place: \(0 \times 1 = 0\)
- Expanded form: \(10000 + 9000 + 900 + 10 + 0\)
1. \(74232 = 70000 + 4000 + 200 + 30 + 2\)
2. \(23809 = 20000 + 3000 + 800 + 0 + 9\)
3. \(14093 = 10000 + 4000 + 0 + 90 + 3\)
4. \(58384 = 50000 + 8000 + 300 + 80 + 4\)
5. \(42681 = 40000 + 2000 + 600 + 80 + 1\)
6. \(38469 = 30000 + 8000 + 400 + 60 + 9\)
7. \(32801 = 30000 + 2000 + 800 + 0 + 1\)
8. \(42791 = 40000 + 2000 + 700 + 90 + 1\)
9. \(19910 = 10000 + 9000 + 900 + 10 + 0\)
\[
\boxed{
\begin{aligned}
1. & \ 70000 + 4000 + 200 + 30 + 2 \\
2. & \ 20000 + 3000 + 800 + 0 + 9 \\
3. & \ 10000 + 4000 + 0 + 90 + 3 \\
4. & \ 50000 + 8000 + 300 + 80 + 4 \\
5. & \ 40000 + 2000 + 600 + 80 + 1 \\
6. & \ 30000 + 8000 + 400 + 60 + 9 \\
7. & \ 30000 + 2000 + 800 + 0 + 1 \\
8. & \ 40000 + 2000 + 700 + 90 + 1 \\
9. & \ 10000 + 9000 + 900 + 10 + 0 \\
\end{aligned}
}
\]
Place Value Recap:
- Ones: \(1\)
- Tens: \(10\)
- Hundreds: \(100\)
- Thousands: \(1000\)
- Ten Thousands: \(10000\)
Solution:
#### 1. 74232
- Break it down by place value:
- \(7\) in the ten-thousands place: \(7 \times 10000 = 70000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(2\) in the hundreds place: \(2 \times 100 = 200\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(70000 + 4000 + 200 + 30 + 2\)
#### 2. 23809
- Break it down by place value:
- \(2\) in the ten-thousands place: \(2 \times 10000 = 20000\)
- \(3\) in the thousands place: \(3 \times 1000 = 3000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(0\) in the tens place: \(0 \times 10 = 0\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(20000 + 3000 + 800 + 0 + 9\)
#### 3. 14093
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(0\) in the hundreds place: \(0 \times 100 = 0\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(3\) in the ones place: \(3 \times 1 = 3\)
- Expanded form: \(10000 + 4000 + 0 + 90 + 3\)
#### 4. 58384
- Break it down by place value:
- \(5\) in the ten-thousands place: \(5 \times 10000 = 50000\)
- \(8\) in the thousands place: \(8 \times 1000 = 8000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(4\) in the ones place: \(4 \times 1 = 4\)
- Expanded form: \(50000 + 8000 + 300 + 80 + 4\)
#### 5. 42681
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(6\) in the hundreds place: \(6 \times 100 = 600\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(40000 + 2000 + 600 + 80 + 1\)
#### 6. 38469
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(8\) in the thousands place: \(8 \times 1000 = 8000\)
- \(4\) in the hundreds place: \(4 \times 100 = 400\)
- \(6\) in the tens place: \(6 \times 10 = 60\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(30000 + 8000 + 400 + 60 + 9\)
#### 7. 32801
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(0\) in the tens place: \(0 \times 10 = 0\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(30000 + 2000 + 800 + 0 + 1\)
#### 8. 42791
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(7\) in the hundreds place: \(7 \times 100 = 700\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(40000 + 2000 + 700 + 90 + 1\)
#### 9. 19910
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(9\) in the thousands place: \(9 \times 1000 = 9000\)
- \(9\) in the hundreds place: \(9 \times 100 = 900\)
- \(1\) in the tens place: \(1 \times 10 = 10\)
- \(0\) in the ones place: \(0 \times 1 = 0\)
- Expanded form: \(10000 + 9000 + 900 + 10 + 0\)
Final Answers:
1. \(74232 = 70000 + 4000 + 200 + 30 + 2\)
2. \(23809 = 20000 + 3000 + 800 + 0 + 9\)
3. \(14093 = 10000 + 4000 + 0 + 90 + 3\)
4. \(58384 = 50000 + 8000 + 300 + 80 + 4\)
5. \(42681 = 40000 + 2000 + 600 + 80 + 1\)
6. \(38469 = 30000 + 8000 + 400 + 60 + 9\)
7. \(32801 = 30000 + 2000 + 800 + 0 + 1\)
8. \(42791 = 40000 + 2000 + 700 + 90 + 1\)
9. \(19910 = 10000 + 9000 + 900 + 10 + 0\)
Boxed Final Answer:
\[
\boxed{
\begin{aligned}
1. & \ 70000 + 4000 + 200 + 30 + 2 \\
2. & \ 20000 + 3000 + 800 + 0 + 9 \\
3. & \ 10000 + 4000 + 0 + 90 + 3 \\
4. & \ 50000 + 8000 + 300 + 80 + 4 \\
5. & \ 40000 + 2000 + 600 + 80 + 1 \\
6. & \ 30000 + 8000 + 400 + 60 + 9 \\
7. & \ 30000 + 2000 + 800 + 0 + 1 \\
8. & \ 40000 + 2000 + 700 + 90 + 1 \\
9. & \ 10000 + 9000 + 900 + 10 + 0 \\
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of standard expanded and word form worksheet.