Math worksheet for practicing place value of digits in decimal numbers.

Let's solve each question step by step, explaining the place value of the specified digit in each number.

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Understanding Place Value

Place value refers to the value of a digit based on its position in a number. Each position represents a power of 10 (e.g., ones, tens, hundreds, tenths, hundredths, etc.).

For example:
- In 345, the digit 4 is in the tens place → value = 40
- In 2.78, the digit 7 is in the tenths place → value = 0.7

We’ll go through each problem carefully.

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1) Write down the place value of 7 in each of these numbers.

a) 78.924531
→ The 7 is in the tens place (to the left of the decimal).
→ Place value = 70

b) 241.35708
→ The 7 is in the thousandths place (3rd digit after decimal).
→ Place value = 0.007

c) 9.7102
→ The 7 is in the tenths place (1st digit after decimal).
→ Place value = 0.7

d) 54.63817
→ The 7 is in the hundred-thousandths place (5th digit after decimal).
→ Place value = 0.00007

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2) Write down the place value of 3 in each of these numbers.

a) 3.59216
→ The 3 is in the ones place.
→ Place value = 3

b) 47.2603
→ The 3 is in the ten-thousandths place (4th digit after decimal).
→ Place value = 0.0003

c) 509.683
→ The 3 is in the thousandths place (3rd digit after decimal).
→ Place value = 0.003

d) 81.437659
→ The 3 is in the hundredths place (2nd digit after decimal).
→ Place value = 0.03

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3) Write down the place value of 6 in each of these numbers.

a) 750.421836
→ The 6 is in the millionths place (6th digit after decimal).
→ Place value = 0.000006

b) 3.189267
→ The 6 is in the hundred-thousandths place (5th digit after decimal).
→ Place value = 0.00006

c) 6.27
→ The 6 is in the ones place.
→ Place value = 6

d) 49.53768
→ The 6 is in the thousandths place (3rd digit after decimal).
→ Place value = 0.006

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4) Write down the place value of 1 in each of these numbers.

a) 278.15346
→ The 1 is in the tenths place.
→ Place value = 0.1

b) 9.367218
→ The 1 is in the hundred-thousandths place (5th digit after decimal).
→ Place value = 0.00001

c) 352.901
→ The 1 is in the thousandths place (3rd digit after decimal).
→ Place value = 0.001

d) 61.5429
→ The 1 is in the ones place (right of 6).
→ Place value = 1

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5) Write down the place value of 4 in each of these numbers.

a) 2.195624
→ The 4 is in the millionths place (6th digit after decimal).
→ Place value = 0.000004

b) 38.403186
→ The 4 is in the tenths place.
→ Place value = 0.4

c) 13.82745
→ The 4 is in the ten-thousandths place (4th digit after decimal).
→ Place value = 0.0004

d) 479.65
→ The 4 is in the hundreds place.
→ Place value = 400

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6) Write down the place value of 8 in each of these numbers.

a) 9.725418
→ The 8 is in the millionths place (6th digit after decimal).
→ Place value = 0.000008

b) 28.5409
→ The 8 is in the ones place (right of 2).
→ Place value = 8

c) 463.187
→ The 8 is in the hundredths place (2nd digit after decimal).
→ Place value = 0.08

d) 1.4538
→ The 8 is in the ten-thousandths place (4th digit after decimal).
→ Place value = 0.0008

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✔ Final Answers:

#### 1)
a) 70
b) 0.007
c) 0.7
d) 0.00007

#### 2)
a) 3
b) 0.0003
c) 0.003
d) 0.03

#### 3)
a) 0.000006
b) 0.00006
c) 6
d) 0.006

#### 4)
a) 0.1
b) 0.00001
c) 0.001
d) 1

#### 5)
a) 0.000004
b) 0.4
c) 0.0004
d) 400

#### 6)
a) 0.000008
b) 8
c) 0.08
d) 0.0008

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✔ These are the correct place values for the given digits in each number. Let me know if you'd like this formatted as a printable answer sheet!