Place Value Worksheets with Answer Key - Free Printable
Educational worksheet: Place Value Worksheets with Answer Key. Download and print for classroom or home learning activities.
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Step-by-step solution for: Place Value Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets with Answer Key
Let's solve each part of the worksheet step by step.
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We add the values together to get the standard (numerical) form.
a)
$ 10000 + 2000 + 600 + 20 + 2 $
= $ 12622 $
✔ Answer: 12,622
---
b)
$ 300000 + 60000 + 4000 + 200 + 80 $
= $ 364,280 $
✔ Answer: 364,280
---
c)
$ 800000 + 80000 + 400 + 8 $
= $ 880,408 $
✔ Answer: 880,408
---
d)
$ 7000000 + 500000 + 40000 + 3000 + 800 $
= $ 7,543,800 $
✔ Answer: 7,543,800
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Break down each number into its place values.
e) $ 546,4614 $ → Wait! This number has 7 digits: 5,464,614? Let's check.
Actually, 5464614 is a 7-digit number:
- Millions: 5,000,000
- Hundred thousands: 400,000
- Ten thousands: 60,000
- Thousands: 4,000
- Hundreds: 600
- Tens: 10
- Ones: 4
Wait — let's write it correctly:
546,4614 → actually, it should be 5,464,614
So:
- 5,000,000 (millions)
- 400,000 (hundred thousands)
- 60,000 (ten thousands)
- 4,000 (thousands)
- 600 (hundreds)
- 10 (tens)
- 4 (ones)
But wait — the digit after 4,000 is 614 → so:
5,464,614 = 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
✔ Answer: 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
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f) $ 147,578 $
Break it down:
- 100,000
- 40,000
- 7,000
- 500
- 70
- 8
So:
= $ 100,000 + 40,000 + 7,000 + 500 + 70 + 8 $
✔ Answer: 100,000 + 40,000 + 7,000 + 500 + 70 + 8
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g) $ 384,970 $
Break it down:
- 300,000
- 80,000
- 4,000
- 900
- 70
- 0
So:
= $ 300,000 + 80,000 + 4,000 + 900 + 70 + 0 $
✔ Answer: 300,000 + 80,000 + 4,000 + 900 + 70
(Note: We can omit the +0 if desired.)
---
h) $ 932,739 $
Break it down:
- 900,000
- 30,000
- 2,000
- 700
- 30
- 9
So:
= $ 900,000 + 30,000 + 2,000 + 700 + 30 + 9 $
✔ Answer: 900,000 + 30,000 + 2,000 + 700 + 30 + 9
---
Now convert word forms to standard form.
i) Sixteen thousand three hundred seventy-six
= 16,000 + 300 + 70 + 6 = 16,376
✔ Answer: 16,376
---
j) Four hundred forty-eight thousand six hundred fifty-nine
= 448,000 + 659 = 448,659
✔ Answer: 448,659
---
k) One hundred eighty thousand seven hundred twenty-two
= 180,000 + 700 + 22 = 180,722
✔ Answer: 180,722
---
l) Five million three hundred sixty-four thousand nine hundred fifty
= 5,000,000 + 364,000 + 950 = 5,364,950
✔ Answer: 5,364,950
---
#### Standard Form:
a) 12,622
b) 364,280
c) 880,408
d) 7,543,800
#### Expanded Form:
e) 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
f) 100,000 + 40,000 + 7,000 + 500 + 70 + 8
g) 300,000 + 80,000 + 4,000 + 900 + 70
h) 900,000 + 30,000 + 2,000 + 700 + 30 + 9
#### Word to Standard Form:
i) 16,376
j) 448,659
k) 180,722
l) 5,364,950
---
Let me know if you'd like this formatted for printing or as a completed worksheet!
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Part 1: Write the numbers in standard form
We add the values together to get the standard (numerical) form.
a)
$ 10000 + 2000 + 600 + 20 + 2 $
= $ 12622 $
✔ Answer: 12,622
---
b)
$ 300000 + 60000 + 4000 + 200 + 80 $
= $ 364,280 $
✔ Answer: 364,280
---
c)
$ 800000 + 80000 + 400 + 8 $
= $ 880,408 $
✔ Answer: 880,408
---
d)
$ 7000000 + 500000 + 40000 + 3000 + 800 $
= $ 7,543,800 $
✔ Answer: 7,543,800
---
Part 2: Write the numbers in expanded form
Break down each number into its place values.
e) $ 546,4614 $ → Wait! This number has 7 digits: 5,464,614? Let's check.
Actually, 5464614 is a 7-digit number:
- Millions: 5,000,000
- Hundred thousands: 400,000
- Ten thousands: 60,000
- Thousands: 4,000
- Hundreds: 600
- Tens: 10
- Ones: 4
Wait — let's write it correctly:
546,4614 → actually, it should be 5,464,614
So:
- 5,000,000 (millions)
- 400,000 (hundred thousands)
- 60,000 (ten thousands)
- 4,000 (thousands)
- 600 (hundreds)
- 10 (tens)
- 4 (ones)
But wait — the digit after 4,000 is 614 → so:
5,464,614 = 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
✔ Answer: 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
---
f) $ 147,578 $
Break it down:
- 100,000
- 40,000
- 7,000
- 500
- 70
- 8
So:
= $ 100,000 + 40,000 + 7,000 + 500 + 70 + 8 $
✔ Answer: 100,000 + 40,000 + 7,000 + 500 + 70 + 8
---
g) $ 384,970 $
Break it down:
- 300,000
- 80,000
- 4,000
- 900
- 70
- 0
So:
= $ 300,000 + 80,000 + 4,000 + 900 + 70 + 0 $
✔ Answer: 300,000 + 80,000 + 4,000 + 900 + 70
(Note: We can omit the +0 if desired.)
---
h) $ 932,739 $
Break it down:
- 900,000
- 30,000
- 2,000
- 700
- 30
- 9
So:
= $ 900,000 + 30,000 + 2,000 + 700 + 30 + 9 $
✔ Answer: 900,000 + 30,000 + 2,000 + 700 + 30 + 9
---
Part 3: Write the numbers that are given in words
Now convert word forms to standard form.
i) Sixteen thousand three hundred seventy-six
= 16,000 + 300 + 70 + 6 = 16,376
✔ Answer: 16,376
---
j) Four hundred forty-eight thousand six hundred fifty-nine
= 448,000 + 659 = 448,659
✔ Answer: 448,659
---
k) One hundred eighty thousand seven hundred twenty-two
= 180,000 + 700 + 22 = 180,722
✔ Answer: 180,722
---
l) Five million three hundred sixty-four thousand nine hundred fifty
= 5,000,000 + 364,000 + 950 = 5,364,950
✔ Answer: 5,364,950
---
✔ Final Answers:
#### Standard Form:
a) 12,622
b) 364,280
c) 880,408
d) 7,543,800
#### Expanded Form:
e) 5,000,000 + 400,000 + 60,000 + 4,000 + 600 + 10 + 4
f) 100,000 + 40,000 + 7,000 + 500 + 70 + 8
g) 300,000 + 80,000 + 4,000 + 900 + 70
h) 900,000 + 30,000 + 2,000 + 700 + 30 + 9
#### Word to Standard Form:
i) 16,376
j) 448,659
k) 180,722
l) 5,364,950
---
Let me know if you'd like this formatted for printing or as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet through one million.