Place Value of Decimals Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: Place Value of Decimals Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Place Value of Decimals Worksheets - 15 Worksheets Library
Let's solve each part of the Decimal Place Value worksheet step by step. We'll identify and underline the digit in the specified place value (tens, hundredths, ones, hundreds, thousandths, tenths) for each number.
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The tens place is the second digit from the right in a whole number. For decimals, it's still the second digit to the left of the decimal point.
- (i) 27.365 → 27.365 → 2 (tens place)
- (ii) 417.26 → 417.26 → 1 (tens place: 1)
- (iii) 7325.5 → 7325.5 → 3 (tens place: 3)
- (iv) 4781.369 → 4781.369 → 8 (tens place: 8)
- (v) 3254.2 → 3254.2 → 2 (tens place: 2)
- (vi) 247.25 → 247.25 → 4 (tens place: 4)
- (vii) 47.369 → 047.369 → 4 (tens place: 4)
- (viii) 147.36 → 147.36 → 4 (tens place: 4)
✔ Answer:
(i) 27.365 → 2
(ii) 417.26 → 1
(iii) 7325.5 → 3
(iv) 4781.369 → 8
(v) 3254.2 → 2
(vi) 247.25 → 4
(vii) 47.369 → 4
(viii) 147.36 → 4
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The hundredths place is the second digit after the decimal point.
- (i) 1.368 → 1.368 → 6 (hundredths: 6)
- (ii) 27.236 → 27.236 → 3
- (iii) 47.36 → 47.36 → 6
- (iv) 2.369 → 2.369 → 6
- (v) 471.32 → 471.32 → 2
- (vi) 3.214 → 3.214 → 1
- (vii) 741.32 → 741.32 → 2
- (viii) 147.321 → 147.321 → 2
✔ Answer:
(i) 1.368 → 6
(ii) 27.236 → 3
(iii) 47.36 → 6
(iv) 2.369 → 6
(v) 471.32 → 2
(vi) 3.214 → 1
(vii) 741.32 → 2
(viii) 147.321 → 2
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The ones place is the digit immediately to the left of the decimal point.
- (i) 47.2 → 47.2 → 7 (ones place)
- (ii) 12.369 → 12.369 → 2
- (iii) 12.36 → 12.36 → 2
- (iv) 4.321 → 4.321 → 4
- (v) 47.125 → 47.125 → 7
- (vi) 37.21 → 37.21 → 7
- (vii) 471.32 → 471.32 → 1
- (viii) 123.7 → 123.7 → 3
✔ Answer:
(i) 47.2 → 7
(ii) 12.369 → 2
(iii) 12.36 → 2
(iv) 4.321 → 4
(v) 47.125 → 7
(vi) 37.21 → 7
(vii) 471.32 → 1
(viii) 123.7 → 3
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The hundreds place is the third digit from the right in the whole number part.
- (i) 369.42 → 369.42 → 3 (hundreds place)
- (ii) 1234.56 → 1234.56 → 2 (hundreds: 2)
- (iii) 367.36 → 0367.36 → 3 (hundreds: 3)
- (iv) 213.5 → 0213.5 → 2 (hundreds: 2)
- (v) 32659.52 → 32659.52 → 6 (hundreds: 6)
- (vi) 28741.25 → 28741.25 → 8 (hundreds: 8)
- (vii) 147.36 → 0147.36 → 1 (hundreds: 1)
- (viii) 369472.3 → 369472.3 → 9 (hundreds: 9)
✔ Answer:
(i) 369.42 → 3
(ii) 1234.56 → 2
(iii) 367.36 → 3
(iv) 213.5 → 2
(v) 32659.52 → 6
(vi) 28741.25 → 8
(vii) 147.36 → 1
(viii) 369472.3 → 9
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The thousandths place is the third digit after the decimal point.
- (i) 5.324 → 5.324 → 4
- (ii) 275.367 → 275.367 → 7
- (iii) 147.5723 → 147.5723 → 3
- (iv) 3697.123 → 3697.123 → 3
- (v) 36.478 → 36.478 → 8
- (vi) 147.3698 → 147.3698 → 8
- (vii) 214.2589 → 214.2589 → 9
- (viii) 324.2478 → 324.2478 → 8
✔ Answer:
(i) 5.324 → 4
(ii) 275.367 → 7
(iii) 147.5723 → 3
(iv) 3697.123 → 3
(v) 36.478 → 8
(vi) 147.3698 → 8
(vii) 214.2589 → 9
(viii) 324.2478 → 8
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The tenths place is the first digit after the decimal point.
- (i) 23.36 → 23.36 → 3
- (ii) 47.364 → 47.364 → 3
- (iii) 36.124 → 36.124 → 1
- (iv) 748.25 → 748.25 → 2
- (v) 147.2456 → 147.2456 → 2
- (vi) 2654.36 → 2654.36 → 3
- (vii) 3.36 → 3.36 → 3
- (viii) 45.36972 → 45.36972 → 3
✔ Answer:
(i) 23.36 → 3
(ii) 47.364 → 3
(iii) 36.124 → 1
(iv) 748.25 → 2
(v) 147.2456 → 2
(vi) 2654.36 → 3
(vii) 3.36 → 3
(viii) 45.36972 → 3
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| Question | Answers |
|--------|--------|
| 1) Tens place | (i) 2, (ii) 1, (iii) 3, (iv) 8, (v) 2, (vi) 4, (vii) 4, (viii) 4 |
| 2) Hundredths place | (i) 6, (ii) 3, (iii) 6, (iv) 6, (v) 2, (vi) 1, (vii) 2, (viii) 2 |
| 3) Ones place | (i) 7, (ii) 2, (iii) 2, (iv) 4, (v) 7, (vi) 7, (vii) 1, (viii) 3 |
| 4) Hundreds place | (i) 3, (ii) 2, (iii) 3, (iv) 2, (v) 6, (vi) 8, (vii) 1, (viii) 9 |
| 5) Thousandths place | (i) 4, (ii) 7, (iii) 3, (iv) 3, (v) 8, (vi) 8, (vii) 9, (viii) 8 |
| 6) Tenths place | (i) 3, (ii) 3, (iii) 1, (iv) 2, (v) 2, (vi) 3, (vii) 3, (viii) 3 |
> 💡 Tip: To find any decimal place:
> - Count left from the decimal for whole numbers.
> - Count right from the decimal for decimal places.
>
> Example: In 47.36,
> - 4 = tens
> - 7 = ones
> - 3 = tenths
> - 6 = hundredths
Let me know if you'd like this as a printable answer key!
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1) Underline the digit in tens place.
The tens place is the second digit from the right in a whole number. For decimals, it's still the second digit to the left of the decimal point.
- (i) 27.365 → 27.365 → 2 (tens place)
- (ii) 417.26 → 417.26 → 1 (tens place: 1)
- (iii) 7325.5 → 7325.5 → 3 (tens place: 3)
- (iv) 4781.369 → 4781.369 → 8 (tens place: 8)
- (v) 3254.2 → 3254.2 → 2 (tens place: 2)
- (vi) 247.25 → 247.25 → 4 (tens place: 4)
- (vii) 47.369 → 047.369 → 4 (tens place: 4)
- (viii) 147.36 → 147.36 → 4 (tens place: 4)
✔ Answer:
(i) 27.365 → 2
(ii) 417.26 → 1
(iii) 7325.5 → 3
(iv) 4781.369 → 8
(v) 3254.2 → 2
(vi) 247.25 → 4
(vii) 47.369 → 4
(viii) 147.36 → 4
---
2) Underline the digit in hundredths place.
The hundredths place is the second digit after the decimal point.
- (i) 1.368 → 1.368 → 6 (hundredths: 6)
- (ii) 27.236 → 27.236 → 3
- (iii) 47.36 → 47.36 → 6
- (iv) 2.369 → 2.369 → 6
- (v) 471.32 → 471.32 → 2
- (vi) 3.214 → 3.214 → 1
- (vii) 741.32 → 741.32 → 2
- (viii) 147.321 → 147.321 → 2
✔ Answer:
(i) 1.368 → 6
(ii) 27.236 → 3
(iii) 47.36 → 6
(iv) 2.369 → 6
(v) 471.32 → 2
(vi) 3.214 → 1
(vii) 741.32 → 2
(viii) 147.321 → 2
---
3) Underline the digit in ones place.
The ones place is the digit immediately to the left of the decimal point.
- (i) 47.2 → 47.2 → 7 (ones place)
- (ii) 12.369 → 12.369 → 2
- (iii) 12.36 → 12.36 → 2
- (iv) 4.321 → 4.321 → 4
- (v) 47.125 → 47.125 → 7
- (vi) 37.21 → 37.21 → 7
- (vii) 471.32 → 471.32 → 1
- (viii) 123.7 → 123.7 → 3
✔ Answer:
(i) 47.2 → 7
(ii) 12.369 → 2
(iii) 12.36 → 2
(iv) 4.321 → 4
(v) 47.125 → 7
(vi) 37.21 → 7
(vii) 471.32 → 1
(viii) 123.7 → 3
---
4) Underline the digit in hundreds place.
The hundreds place is the third digit from the right in the whole number part.
- (i) 369.42 → 369.42 → 3 (hundreds place)
- (ii) 1234.56 → 1234.56 → 2 (hundreds: 2)
- (iii) 367.36 → 0367.36 → 3 (hundreds: 3)
- (iv) 213.5 → 0213.5 → 2 (hundreds: 2)
- (v) 32659.52 → 32659.52 → 6 (hundreds: 6)
- (vi) 28741.25 → 28741.25 → 8 (hundreds: 8)
- (vii) 147.36 → 0147.36 → 1 (hundreds: 1)
- (viii) 369472.3 → 369472.3 → 9 (hundreds: 9)
✔ Answer:
(i) 369.42 → 3
(ii) 1234.56 → 2
(iii) 367.36 → 3
(iv) 213.5 → 2
(v) 32659.52 → 6
(vi) 28741.25 → 8
(vii) 147.36 → 1
(viii) 369472.3 → 9
---
5) Underline the digit in thousandths place.
The thousandths place is the third digit after the decimal point.
- (i) 5.324 → 5.324 → 4
- (ii) 275.367 → 275.367 → 7
- (iii) 147.5723 → 147.5723 → 3
- (iv) 3697.123 → 3697.123 → 3
- (v) 36.478 → 36.478 → 8
- (vi) 147.3698 → 147.3698 → 8
- (vii) 214.2589 → 214.2589 → 9
- (viii) 324.2478 → 324.2478 → 8
✔ Answer:
(i) 5.324 → 4
(ii) 275.367 → 7
(iii) 147.5723 → 3
(iv) 3697.123 → 3
(v) 36.478 → 8
(vi) 147.3698 → 8
(vii) 214.2589 → 9
(viii) 324.2478 → 8
---
6) Underline the digit in tenths place.
The tenths place is the first digit after the decimal point.
- (i) 23.36 → 23.36 → 3
- (ii) 47.364 → 47.364 → 3
- (iii) 36.124 → 36.124 → 1
- (iv) 748.25 → 748.25 → 2
- (v) 147.2456 → 147.2456 → 2
- (vi) 2654.36 → 2654.36 → 3
- (vii) 3.36 → 3.36 → 3
- (viii) 45.36972 → 45.36972 → 3
✔ Answer:
(i) 23.36 → 3
(ii) 47.364 → 3
(iii) 36.124 → 1
(iv) 748.25 → 2
(v) 147.2456 → 2
(vi) 2654.36 → 3
(vii) 3.36 → 3
(viii) 45.36972 → 3
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✔ Final Summary (Underlined digits):
| Question | Answers |
|--------|--------|
| 1) Tens place | (i) 2, (ii) 1, (iii) 3, (iv) 8, (v) 2, (vi) 4, (vii) 4, (viii) 4 |
| 2) Hundredths place | (i) 6, (ii) 3, (iii) 6, (iv) 6, (v) 2, (vi) 1, (vii) 2, (viii) 2 |
| 3) Ones place | (i) 7, (ii) 2, (iii) 2, (iv) 4, (v) 7, (vi) 7, (vii) 1, (viii) 3 |
| 4) Hundreds place | (i) 3, (ii) 2, (iii) 3, (iv) 2, (v) 6, (vi) 8, (vii) 1, (viii) 9 |
| 5) Thousandths place | (i) 4, (ii) 7, (iii) 3, (iv) 3, (v) 8, (vi) 8, (vii) 9, (viii) 8 |
| 6) Tenths place | (i) 3, (ii) 3, (iii) 1, (iv) 2, (v) 2, (vi) 3, (vii) 3, (viii) 3 |
> 💡 Tip: To find any decimal place:
> - Count left from the decimal for whole numbers.
> - Count right from the decimal for decimal places.
>
> Example: In 47.36,
> - 4 = tens
> - 7 = ones
> - 3 = tenths
> - 6 = hundredths
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet including decimals.