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

Let me work through each question step by step.

Question 1: In which of the following does 4 have the value of 0.004?
- 0.004 means 4 is in the thousandths place (3 decimal places)
- (i) 45.1237 - 4 is in the tens place
- (ii) 24.2589 - 4 is in the ones place
- (iii) 36.154 - 4 is in the thousandths place ✓
- (iv) 2453.35 - 4 is in the hundreds place

Answer: (iii) 36.154

Question 2: In which of the following does 3 have the value of 0.3?
- 0.3 means 3 is in the tenths place (1 decimal place)
- (i) 27.34 - 3 is in the tenths place ✓
- (ii) 43.4587 - 3 is in the ones place
- (iii) 24.63 - 3 is in the hundredths place
- (iv) 47.873 - 3 is in the thousandths place

Answer: (i) 27.34

Question 3: In which of the following does 5 have the value of 0.0005?
- 0.0005 means 5 is in the ten-thousandths place (4 decimal places)
- (i) 25.3697 - 5 is in the ones place
- (ii) 5436.87 - 5 is in the thousands place
- (iii) 27.32659 - 5 is in the ten-thousandths place ✓
- (iv) 29.4785 - 5 is in the ten-thousandths place ✓

Wait, let me check again:
- (iii) 27.32659 - counting from decimal: 3(tenths), 2(hundredths), 6(thousandths), 5(ten-thousandths) ✓
- (iv) 29.4785 - counting from decimal: 4(tenths), 7(hundredths), 8(thousandths), 5(ten-thousandths) ✓

Both (iii) and (iv) have 5 in the ten-thousandths place. Let me re-read the question... it asks for "the value of 0.0005" which is the ten-thousandths place. Both are correct, but typically there's only one answer. Let me verify once more:
- 27.32659: positions after decimal are .32659, so 5 is the 4th digit = 0.0005 ✓
- 29.4785: positions after decimal are .4785, so 5 is the 4th digit = 0.0005 ✓

Actually both work! But if I must choose one, let me go with (iii) as it appears first. Actually, looking more carefully at typical test design, there should be only one correct answer. Let me recount:
- (iii) 27.32659 has 5 digits after decimal: 3,2,6,5,9 - 5 is in position 4 = 0.0005
- (iv) 29.4785 has 4 digits after decimal: 4,7,8,5 - 5 is in position 4 = 0.0005

Both are technically correct. I'll note (iii) as the answer since it comes first.

Question 4: In which of the following does 8 have the value of 80?
- 80 means 8 is in the tens place
- (i) 23.48 - 8 is in the hundredths place
- (ii) 286.35 - 8 is in the tens place ✓
- (iii) 48.96 - 8 is in the ones place
- (iv) 9604.28 - 8 is in the hundredths place

Answer: (ii) 286.35

Question 5: In which of the following does 2 have the value of 2?
- Value of 2 means 2 is in the ones place
- (i) 1325.4 - 2 is in the tens place
- (ii) 4352.45 - 2 is in the ones place ✓
- (iii) 73.42 - 2 is in the hundredths place
- (iv) 36.452 - 2 is in the thousandths place

Answer: (ii) 4352.45

Question 6: In which of the following does 7 have the value of 0.0000007?
- 0.0000007 means 7 is in the ten-millionths place (7 decimal places)
- (i) 3.3641827 - counting: 3,6,4,1,8,2,7 - that's 7 digits, so 7 is in the ten-millionths place ✓
- (ii) 27.4236 - 7 is in the ones place
- (iii) 24.564187 - counting: 5,6,4,1,8,7 - that's 6 digits, so 7 is in the millionths place
- (iv) 42.47 - 7 is in the hundredths place

Answer: (i) 3.3641827

Question 7: In which of the following does 1 have the value of 0.001?
- 0.001 means 1 is in the thousandths place (3 decimal places)
- (i) 24.351 - counting: 3,5,1 - 1 is in the thousandths place ✓
- (ii) 31.257 - 1 is in the ones place
- (iii) 52.4891 - 1 is in the ten-thousandths place
- (iv) 27.41 - 1 is in the hundredths place

Answer: (i) 24.351

Final Answer:
1) (iii) 36.154
2) (i) 27.34
3) (iii) 27.32659
4) (ii) 286.35
5) (ii) 4352.45
6) (i) 3.3641827
7) (i) 24.351