Place Value - Worksheet Digital - Free Printable
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Step-by-step solution for: Place Value - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Place Value - Worksheet Digital
Let’s go through each problem one by one. We’ll look at the underlined digit, figure out what place it’s in (like tens, hundreds, thousands, etc.), and then find its actual value (which is the digit multiplied by the place).
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a. 4,360,000
The underlined digit is 6.
Let’s count places from right to left:
- Rightmost digit = ones
- Then tens, hundreds, thousands, ten thousands, hundred thousands, millions...
So in 4,360,000:
Break it down:
4 → millions
3 → hundred thousands? Wait — let’s write it with commas to help:
4,360,000 = 4 million, 360 thousand
Actually, better to label each digit’s place:
Digits: 4 , 3 6 0 , 0 0 0
Places: Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, Ones
Wait — standard place values for 7-digit number:
Position (from right):
1st: ones
2nd: tens
3rd: hundreds
4th: thousands
5th: ten thousands
6th: hundred thousands
7th: millions
So for 4,360,000:
Digit positions (left to right):
- 4 → 7th digit → millions
- 3 → 6th digit → hundred thousands
- 6 → 5th digit → ten thousands
- 0 → 4th → thousands
- 0 → 3rd → hundreds
- 0 → 2nd → tens
- 0 → 1st → ones
✔ So the underlined digit 6 is in the ten thousands place.
Value = 6 × 10,000 = 60,000
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b. 56,001,030
Underlined digit is 6
This is an 8-digit number.
Place values from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
8: ten millions
Write the number: 5 6 , 0 0 1 , 0 3 0
Positions (left to right):
- 5 → 8th digit → ten millions
- 6 → 7th digit → millions
- 0 → 6th → hundred thousands
- 0 → 5th → ten thousands
- 1 → 4th → thousands
- 0 → 3rd → hundreds
- 3 → 2nd → tens
- 0 → 1st → ones
✔ So 6 is in the millions place.
Value = 6 × 1,000,000 = 6,000,000
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c. 3,924,860
Underlined digit is 8
Number: 3,924,860 → 7 digits
Places from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
Digits: 3 , 9 2 4 , 8 6 0
Left to right:
- 3 → millions (7th)
- 9 → hundred thousands (6th)
- 2 → ten thousands (5th)
- 4 → thousands (4th)
- 8 → hundreds (3rd) ← this is underlined!
- 6 → tens (2nd)
- 0 → ones (1st)
✔ So 8 is in the hundreds place.
Value = 8 × 100 = 800
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d. 19,152,340
Underlined digit is 1 (the first one — the “1” in “19”)
Number: 19,152,340 → 8 digits
Places from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
8: ten millions
Digits: 1 9 , 1 5 2 , 3 4 0
Left to right:
- 1 → 8th digit → ten millions ← underlined
- 9 → 7th → millions
- 1 → 6th → hundred thousands
- 5 → 5th → ten thousands
- 2 → 4th → thousands
- 3 → 3rd → hundreds
- 4 → 2nd → tens
- 0 → 1st → ones
✔ So the first 1 is in the ten millions place.
Value = 1 × 10,000,000 = 10,000,000
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e. 50,352,340
Underlined digit is 3 (in “352” — so the third digit from left? Let’s check)
Number: 50,352,340 → 8 digits
Digits: 5 0 , 3 5 2 , 3 4 0
Left to right:
- 5 → 8th → ten millions
- 0 → 7th → millions
- 3 → 6th → hundred thousands ← underlined
- 5 → 5th → ten thousands
- 2 → 4th → thousands
- 3 → 3rd → hundreds
- 4 → 2nd → tens
- 0 → 1st → ones
✔ So the underlined 3 is in the hundred thousands place.
Value = 3 × 100,000 = 300,000
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Final Answer:
a. Place: ten thousands; Value: 60,000
b. Place: millions; Value: 6,000,000
c. Place: hundreds; Value: 800
d. Place: ten millions; Value: 10,000,000
e. Place: hundred thousands; Value: 300,000
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a. 4,360,000
The underlined digit is 6.
Let’s count places from right to left:
- Rightmost digit = ones
- Then tens, hundreds, thousands, ten thousands, hundred thousands, millions...
So in 4,360,000:
Break it down:
4 → millions
3 → hundred thousands? Wait — let’s write it with commas to help:
4,360,000 = 4 million, 360 thousand
Actually, better to label each digit’s place:
Digits: 4 , 3 6 0 , 0 0 0
Places: Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, Ones
Wait — standard place values for 7-digit number:
Position (from right):
1st: ones
2nd: tens
3rd: hundreds
4th: thousands
5th: ten thousands
6th: hundred thousands
7th: millions
So for 4,360,000:
Digit positions (left to right):
- 4 → 7th digit → millions
- 3 → 6th digit → hundred thousands
- 6 → 5th digit → ten thousands
- 0 → 4th → thousands
- 0 → 3rd → hundreds
- 0 → 2nd → tens
- 0 → 1st → ones
✔ So the underlined digit 6 is in the ten thousands place.
Value = 6 × 10,000 = 60,000
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b. 56,001,030
Underlined digit is 6
This is an 8-digit number.
Place values from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
8: ten millions
Write the number: 5 6 , 0 0 1 , 0 3 0
Positions (left to right):
- 5 → 8th digit → ten millions
- 6 → 7th digit → millions
- 0 → 6th → hundred thousands
- 0 → 5th → ten thousands
- 1 → 4th → thousands
- 0 → 3rd → hundreds
- 3 → 2nd → tens
- 0 → 1st → ones
✔ So 6 is in the millions place.
Value = 6 × 1,000,000 = 6,000,000
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c. 3,924,860
Underlined digit is 8
Number: 3,924,860 → 7 digits
Places from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
Digits: 3 , 9 2 4 , 8 6 0
Left to right:
- 3 → millions (7th)
- 9 → hundred thousands (6th)
- 2 → ten thousands (5th)
- 4 → thousands (4th)
- 8 → hundreds (3rd) ← this is underlined!
- 6 → tens (2nd)
- 0 → ones (1st)
✔ So 8 is in the hundreds place.
Value = 8 × 100 = 800
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d. 19,152,340
Underlined digit is 1 (the first one — the “1” in “19”)
Number: 19,152,340 → 8 digits
Places from right:
1: ones
2: tens
3: hundreds
4: thousands
5: ten thousands
6: hundred thousands
7: millions
8: ten millions
Digits: 1 9 , 1 5 2 , 3 4 0
Left to right:
- 1 → 8th digit → ten millions ← underlined
- 9 → 7th → millions
- 1 → 6th → hundred thousands
- 5 → 5th → ten thousands
- 2 → 4th → thousands
- 3 → 3rd → hundreds
- 4 → 2nd → tens
- 0 → 1st → ones
✔ So the first 1 is in the ten millions place.
Value = 1 × 10,000,000 = 10,000,000
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e. 50,352,340
Underlined digit is 3 (in “352” — so the third digit from left? Let’s check)
Number: 50,352,340 → 8 digits
Digits: 5 0 , 3 5 2 , 3 4 0
Left to right:
- 5 → 8th → ten millions
- 0 → 7th → millions
- 3 → 6th → hundred thousands ← underlined
- 5 → 5th → ten thousands
- 2 → 4th → thousands
- 3 → 3rd → hundreds
- 4 → 2nd → tens
- 0 → 1st → ones
✔ So the underlined 3 is in the hundred thousands place.
Value = 3 × 100,000 = 300,000
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Final Answer:
a. Place: ten thousands; Value: 60,000
b. Place: millions; Value: 6,000,000
c. Place: hundreds; Value: 800
d. Place: ten millions; Value: 10,000,000
e. Place: hundred thousands; Value: 300,000
Parent Tip: Review the logic above to help your child master the concept of place value worksheet 6th.