Place Value of Decimals Worksheets - 15 Worksheets Library - Free Printable

Let’s solve each question one by one. We’re looking for the number where a specific digit has a certain place value.

Remember:
- The first digit after the decimal is tenths (0.1)
- Second is hundredths (0.01)
- Third is thousandths (0.001)
- Fourth is ten-thousandths (0.0001)
- Fifth is hundred-thousandths (0.00001)
And so on.

Also, for whole numbers:
- Rightmost digit = ones (1)
- Next left = tens (10)
- Then hundreds (100), etc.

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Question 1: In which of the following does 4 have the value of 0.004?

That means 4 must be in the thousandths place → third digit after decimal.

Check each:

(i) 45.1237 → 4 is in tens place → 40 → no
(ii) 24.2589 → 4 is in ones place → 4 → no
(iii) 36.154 → 4 is in thousandths place → yes! 0.004
(iv) 2453.35 → 4 is in hundreds place → 400 → no

✔ Answer: (iii)

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Question 2: In which does 3 have the value of 0.3?

0.3 = tenths place → first digit after decimal.

(i) 27.34 → 3 is in tenths → yes!
(ii) 43.4587 → 3 is in ones → 3 → no
(iii) 24.63 → 3 is in hundredths → 0.03 → no
(iv) 47.873 → 3 is in thousandths → 0.003 → no

✔ Answer: (i)

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Question 3: In which does 5 have the value of 0.0005?

0.0005 = ten-thousandths place → fourth digit after decimal.

(i) 25.3697 → 5 is in ones → 5 → no
(ii) 5436.87 → 5 is in thousands → 5000 → no
(iii) 27.32695 → let’s count: 3 (tenths), 2 (hundredths), 6 (thousandths), 9 (ten-thousandths), 5 (hundred-thousandths) → 5 is 0.00005 → too small
(iv) 29.4785 → digits after decimal: 4 (tenths), 7 (hundredths), 8 (thousandths), 5 (ten-thousandths) → YES! 0.0005

✔ Answer: (iv)

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Question 4: In which does 8 have the value of 80?

80 = tens place → second digit from right in whole number part.

(i) 23.48 → 8 is in hundredths → 0.08 → no
(ii) 286.35 → 8 is in tens → 80 → YES!
(iii) 48.96 → 8 is in ones → 8 → no
(iv) 9604.28 → 8 is in hundredths → 0.08 → no

✔ Answer: (ii)

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Question 5: In which does 2 have the value of 2?

Value of 2 = ones place → just “2”, not 20 or 0.2.

(i) 1325.4 → 2 is in tens → 20 → no
(ii) 4352.45 → 2 is in ones → YES!
(iii) 73.42 → 2 is in hundredths → 0.02 → no
(iv) 36.452 → 2 is in thousandths → 0.002 → no

✔ Answer: (ii)

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Question 6: In which does 7 have the value of 0.000007?

0.000007 = millionths place → sixth digit after decimal.

(i) 3.3641827 → let’s count:
3 . 3 6 4 1 8 2 7
→ positions: 1st=3, 2nd=6, 3rd=4, 4th=1, 5th=8, 6th=2, 7th=7 → 7 is in 7th place → 0.0000007 → too small
Wait — we need 6th digit to be 7.

Actually, 0.000007 = 7 × 10⁻⁶ → 6th decimal place.

Check (i): 3.3641827 → digits after decimal:
Position 1: 3
2: 6
3: 4
4: 1
5: 8
6: 2 ← this is 0.000002
7: 7 ← this is 0.0000007 → not what we want.

(ii) 27.4236 → 7 is in ones → 7 → no
(iii) 24.564187 → digits after decimal: 5,6,4,1,8,7 → 6th digit is 7 → YES! 0.000007
(iv) 42.47 → 7 is in hundredths → 0.07 → no

✔ Answer: (iii)

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Question 7: In which does 1 have the value of 0.001?

0.001 = thousandths place → third digit after decimal.

(i) 24.351 → digits after decimal: 3 (tenths), 5 (hundredths), 1 (thousandths) → YES!
(ii) 31.257 → 1 is in ones → 1 → no
(iii) 52.4891 → 1 is in ten-thousandths → 0.0001 → no
(iv) 27.41 → 1 is in hundredths → 0.01 → no

✔ Answer: (i)

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Final Answer:
1) (iii)
2) (i)
3) (iv)
4) (ii)
5) (ii)
6) (iii)
7) (i)