Math Expanded Form Worksheets for Grade 4 - Kidpid - Free Printable
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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. 87135
- Break it down by place value:
- \(8\) in the ten-thousands place: \(8 \times 10000 = 80000\)
- \(7\) in the thousands place: \(7 \times 1000 = 7000\)
- \(1\) in the hundreds place: \(1 \times 100 = 100\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(5\) in the ones place: \(5 \times 1 = 5\)
- Expanded form: \(80000 + 7000 + 100 + 30 + 5\)
#### 2. 65801
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(5\) in the thousands place: \(5 \times 1000 = 5000\)
- \(8\) 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: \(60000 + 5000 + 800 + 0 + 1\)
#### 3. 12357
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(5\) in the tens place: \(5 \times 10 = 50\)
- \(7\) in the ones place: \(7 \times 1 = 7\)
- Expanded form: \(10000 + 2000 + 300 + 50 + 7\)
#### 4. 67352
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(7\) in the thousands place: \(7 \times 1000 = 7000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(5\) in the tens place: \(5 \times 10 = 50\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(60000 + 7000 + 300 + 50 + 2\)
#### 5. 73892
- Break it down by place value:
- \(7\) in the ten-thousands place: \(7 \times 10000 = 70000\)
- \(3\) in the thousands place: \(3 \times 1000 = 3000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(70000 + 3000 + 800 + 90 + 2\)
#### 6. 34841
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(4\) in the tens place: \(4 \times 10 = 40\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(30000 + 4000 + 800 + 40 + 1\)
#### 7. 65189
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(5\) in the thousands place: \(5 \times 1000 = 5000\)
- \(1\) in the hundreds place: \(1 \times 100 = 100\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(60000 + 5000 + 100 + 80 + 9\)
#### 8. 59327
- Break it down by place value:
- \(5\) in the ten-thousands place: \(5 \times 10000 = 50000\)
- \(9\) in the thousands place: \(9 \times 1000 = 9000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(2\) in the tens place: \(2 \times 10 = 20\)
- \(7\) in the ones place: \(7 \times 1 = 7\)
- Expanded form: \(50000 + 9000 + 300 + 20 + 7\)
#### 9. 42834
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(4\) in the ones place: \(4 \times 1 = 4\)
- Expanded form: \(40000 + 2000 + 800 + 30 + 4\)
\[
\begin{aligned}
&87135: & 80000 + 7000 + 100 + 30 + 5 \\
&65801: & 60000 + 5000 + 800 + 0 + 1 \\
&12357: & 10000 + 2000 + 300 + 50 + 7 \\
&67352: & 60000 + 7000 + 300 + 50 + 2 \\
&73892: & 70000 + 3000 + 800 + 90 + 2 \\
&34841: & 30000 + 4000 + 800 + 40 + 1 \\
&65189: & 60000 + 5000 + 100 + 80 + 9 \\
&59327: & 50000 + 9000 + 300 + 20 + 7 \\
&42834: & 40000 + 2000 + 800 + 30 + 4 \\
\end{aligned}
\]
\boxed{
\begin{aligned}
&87135: 80000 + 7000 + 100 + 30 + 5 \\
&65801: 60000 + 5000 + 800 + 0 + 1 \\
&12357: 10000 + 2000 + 300 + 50 + 7 \\
&67352: 60000 + 7000 + 300 + 50 + 2 \\
&73892: 70000 + 3000 + 800 + 90 + 2 \\
&34841: 30000 + 4000 + 800 + 40 + 1 \\
&65189: 60000 + 5000 + 100 + 80 + 9 \\
&59327: 50000 + 9000 + 300 + 20 + 7 \\
&42834: 40000 + 2000 + 800 + 30 + 4 \\
\end{aligned}
}
Place Value Recap:
- Ones: \(1\)
- Tens: \(10\)
- Hundreds: \(100\)
- Thousands: \(1000\)
- Ten Thousands: \(10000\)
Solution:
#### 1. 87135
- Break it down by place value:
- \(8\) in the ten-thousands place: \(8 \times 10000 = 80000\)
- \(7\) in the thousands place: \(7 \times 1000 = 7000\)
- \(1\) in the hundreds place: \(1 \times 100 = 100\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(5\) in the ones place: \(5 \times 1 = 5\)
- Expanded form: \(80000 + 7000 + 100 + 30 + 5\)
#### 2. 65801
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(5\) in the thousands place: \(5 \times 1000 = 5000\)
- \(8\) 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: \(60000 + 5000 + 800 + 0 + 1\)
#### 3. 12357
- Break it down by place value:
- \(1\) in the ten-thousands place: \(1 \times 10000 = 10000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(5\) in the tens place: \(5 \times 10 = 50\)
- \(7\) in the ones place: \(7 \times 1 = 7\)
- Expanded form: \(10000 + 2000 + 300 + 50 + 7\)
#### 4. 67352
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(7\) in the thousands place: \(7 \times 1000 = 7000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(5\) in the tens place: \(5 \times 10 = 50\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(60000 + 7000 + 300 + 50 + 2\)
#### 5. 73892
- Break it down by place value:
- \(7\) in the ten-thousands place: \(7 \times 10000 = 70000\)
- \(3\) in the thousands place: \(3 \times 1000 = 3000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(9\) in the tens place: \(9 \times 10 = 90\)
- \(2\) in the ones place: \(2 \times 1 = 2\)
- Expanded form: \(70000 + 3000 + 800 + 90 + 2\)
#### 6. 34841
- Break it down by place value:
- \(3\) in the ten-thousands place: \(3 \times 10000 = 30000\)
- \(4\) in the thousands place: \(4 \times 1000 = 4000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(4\) in the tens place: \(4 \times 10 = 40\)
- \(1\) in the ones place: \(1 \times 1 = 1\)
- Expanded form: \(30000 + 4000 + 800 + 40 + 1\)
#### 7. 65189
- Break it down by place value:
- \(6\) in the ten-thousands place: \(6 \times 10000 = 60000\)
- \(5\) in the thousands place: \(5 \times 1000 = 5000\)
- \(1\) in the hundreds place: \(1 \times 100 = 100\)
- \(8\) in the tens place: \(8 \times 10 = 80\)
- \(9\) in the ones place: \(9 \times 1 = 9\)
- Expanded form: \(60000 + 5000 + 100 + 80 + 9\)
#### 8. 59327
- Break it down by place value:
- \(5\) in the ten-thousands place: \(5 \times 10000 = 50000\)
- \(9\) in the thousands place: \(9 \times 1000 = 9000\)
- \(3\) in the hundreds place: \(3 \times 100 = 300\)
- \(2\) in the tens place: \(2 \times 10 = 20\)
- \(7\) in the ones place: \(7 \times 1 = 7\)
- Expanded form: \(50000 + 9000 + 300 + 20 + 7\)
#### 9. 42834
- Break it down by place value:
- \(4\) in the ten-thousands place: \(4 \times 10000 = 40000\)
- \(2\) in the thousands place: \(2 \times 1000 = 2000\)
- \(8\) in the hundreds place: \(8 \times 100 = 800\)
- \(3\) in the tens place: \(3 \times 10 = 30\)
- \(4\) in the ones place: \(4 \times 1 = 4\)
- Expanded form: \(40000 + 2000 + 800 + 30 + 4\)
Final Answers:
\[
\begin{aligned}
&87135: & 80000 + 7000 + 100 + 30 + 5 \\
&65801: & 60000 + 5000 + 800 + 0 + 1 \\
&12357: & 10000 + 2000 + 300 + 50 + 7 \\
&67352: & 60000 + 7000 + 300 + 50 + 2 \\
&73892: & 70000 + 3000 + 800 + 90 + 2 \\
&34841: & 30000 + 4000 + 800 + 40 + 1 \\
&65189: & 60000 + 5000 + 100 + 80 + 9 \\
&59327: & 50000 + 9000 + 300 + 20 + 7 \\
&42834: & 40000 + 2000 + 800 + 30 + 4 \\
\end{aligned}
\]
\boxed{
\begin{aligned}
&87135: 80000 + 7000 + 100 + 30 + 5 \\
&65801: 60000 + 5000 + 800 + 0 + 1 \\
&12357: 10000 + 2000 + 300 + 50 + 7 \\
&67352: 60000 + 7000 + 300 + 50 + 2 \\
&73892: 70000 + 3000 + 800 + 90 + 2 \\
&34841: 30000 + 4000 + 800 + 40 + 1 \\
&65189: 60000 + 5000 + 100 + 80 + 9 \\
&59327: 50000 + 9000 + 300 + 20 + 7 \\
&42834: 40000 + 2000 + 800 + 30 + 4 \\
\end{aligned}
}
Parent Tip: Review the logic above to help your child master the concept of standard form and expanded form worksheet.
