Place Value Thousands, Hundreds, Tens, Ones Worksheet - Have Fun ... - Free Printable
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Step-by-step solution for: Place Value Thousands, Hundreds, Tens, Ones Worksheet - Have Fun ...
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Thousands, Hundreds, Tens, Ones Worksheet - Have Fun ...
Problem Explanation:
The worksheet is about understanding place value. Place value refers to the value of each digit in a number based on its position. For example, in the number 6,382:
- The "6" is in the thousands place.
- The "3" is in the hundreds place.
- The "8" is in the tens place.
- The "2" is in the ones place.
The task involves completing equations by converting the given place values into a single number and vice versa.
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Solution:
#### Part 1: Completing the Equations
We need to convert the given place values into a single number.
1. 6 thousands + 3 hundreds + 8 tens + 2 ones
- Thousands: \(6 \times 1000 = 6000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(2 \times 1 = 2\)
- Total: \(6000 + 300 + 80 + 2 = 6382\)
Answer: 6382
2. 9 thousands + 5 hundreds + 4 tens + 9 ones
- Thousands: \(9 \times 1000 = 9000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(9 \times 1 = 9\)
- Total: \(9000 + 500 + 40 + 9 = 9549\)
Answer: 9549
3. 2 thousands + 8 hundreds + 5 tens + 0 ones
- Thousands: \(2 \times 1000 = 2000\)
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(5 \times 10 = 50\)
- Ones: \(0 \times 1 = 0\)
- Total: \(2000 + 800 + 50 + 0 = 2850\)
Answer: 2850
4. 7 thousands + 4 hundreds + 4 tens + 7 ones
- Thousands: \(7 \times 1000 = 7000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(7 \times 1 = 7\)
- Total: \(7000 + 400 + 40 + 7 = 7447\)
Answer: 7447
5. 8 thousands + 2 hundreds + 9 tens + 9 ones
- Thousands: \(8 \times 1000 = 8000\)
- Hundreds: \(2 \times 100 = 200\)
- Tens: \(9 \times 10 = 90\)
- Ones: \(9 \times 1 = 9\)
- Total: \(8000 + 200 + 90 + 9 = 8299\)
Answer: 8299
6. 9 thousands + 4 tens + 3 hundreds + 8 ones
- Thousands: \(9 \times 1000 = 9000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(8 \times 1 = 8\)
- Total: \(9000 + 300 + 40 + 8 = 9348\)
Answer: 9348
7. 1 one + 1 thousand + 7 tens + 9 hundreds
- Thousands: \(1 \times 1000 = 1000\)
- Hundreds: \(9 \times 100 = 900\)
- Tens: \(7 \times 10 = 70\)
- Ones: \(1 \times 1 = 1\)
- Total: \(1000 + 900 + 70 + 1 = 1971\)
Answer: 1971
8. 7 tens + 5 hundreds + 5 thousands + 2 ones
- Thousands: \(5 \times 1000 = 5000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(7 \times 10 = 70\)
- Ones: \(2 \times 1 = 2\)
- Total: \(5000 + 500 + 70 + 2 = 5572\)
Answer: 5572
9. 8 thousands + 5 hundreds + 9 ones + 7 tens
- Thousands: \(8 \times 1000 = 8000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(7 \times 10 = 70\)
- Ones: \(9 \times 1 = 9\)
- Total: \(8000 + 500 + 70 + 9 = 8579\)
Answer: 8579
10. 4 hundreds + 2 ones + 3 tens + 5 thousands
- Thousands: \(5 \times 1000 = 5000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(3 \times 10 = 30\)
- Ones: \(2 \times 1 = 2\)
- Total: \(5000 + 400 + 30 + 2 = 5432\)
Answer: 5432
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#### Part 2: Breaking Down Numbers into Place Values
We need to express the given numbers as sums of their place values.
a. 8647
- Thousands: \(8 \times 1000 = 8000\)
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(7 \times 1 = 7\)
- Answer: \(8\) thousands + \(6\) hundreds + \(4\) tens + \(7\) ones
b. 1892
- Thousands: \(1 \times 1000 = 1000\)
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(9 \times 10 = 90\)
- Ones: \(2 \times 1 = 2\)
- Answer: \(1\) thousands + \(8\) hundreds + \(9\) tens + \(2\) ones
c. 9372
- Thousands: \(9 \times 1000 = 9000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(7 \times 10 = 70\)
- Ones: \(2 \times 1 = 2\)
- Answer: \(9\) thousands + \(3\) hundreds + \(7\) tens + \(2\) ones
d. 3939
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(9 \times 100 = 900\)
- Tens: \(3 \times 10 = 30\)
- Ones: \(9 \times 1 = 9\)
- Answer: \(3\) thousands + \(9\) hundreds + \(3\) tens + \(9\) ones
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Final Answers:
1. 6382
2. 9549
3. 2850
4. 7447
5. 8299
6. 9348
7. 1971
8. 5572
9. 8579
10. 5432
a. 8 thousands + 6 hundreds + 4 tens + 7 ones
b. 1 thousands + 8 hundreds + 9 tens + 2 ones
c. 9 thousands + 3 hundreds + 7 tens + 2 ones
d. 3 thousands + 9 hundreds + 3 tens + 9 ones
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
6382, 9549, 2850, 7447, 8299, 9348, 1971, 5572, 8579, 5432 \\
8 \text{ thousands} + 6 \text{ hundreds} + 4 \text{ tens} + 7 \text{ ones}, \\
1 \text{ thousands} + 8 \text{ hundreds} + 9 \text{ tens} + 2 \text{ ones}, \\
9 \text{ thousands} + 3 \text{ hundreds} + 7 \text{ tens} + 2 \text{ ones}, \\
3 \text{ thousands} + 9 \text{ hundreds} + 3 \text{ tens} + 9 \text{ ones}.
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value thousands worksheet free.