Decimal place values worksheet for students to practice identifying digit positions in numbers.

Let's solve each part of the worksheet step by step and explain the reasoning behind each answer.

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a. What is the value of 5 in 236.510?

We look at the number: 236.510

Break it down by place values:

- 2 → hundreds
- 3 → tens
- 6 → ones
- 5 → tenths (first digit after decimal)
- 1 → hundredths
- 0 → thousandths

So, 5 is in the tenths place.

✔ Answer: tenths

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b. What is the value of 3 in 1,637.008?

Number: 1,637.008

Break it down:

- 1 → thousands
- 6 → hundreds
- 3 → tens
- 7 → ones
- 0 → tenths
- 0 → hundredths
- 8 → thousandths

So, 3 is in the tens place.

✔ Answer: tens

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c. What is the value of 9 in 7.5009?

Number: 7.5009

Break it down:

- 7 → ones
- 5 → tenths
- 0 → hundredths
- 0 → thousandths
- 9 → ten-thousandths

So, 9 is in the ten-thousandths place.

✔ Answer: ten-thousandths

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d. In 187, which digit is in the tens place?

Number: 187

Break it down:

- 1 → hundreds
- 8 → tens
- 7 → ones

So, the digit in the tens place is 8.

✔ Answer: 8

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e. In 679.33815, which digit is in the ten-thousandths place?

Number: 679.33815

Decimal places:

- 3 → tenths
- 3 → hundredths
- 8 → thousandths
- 1 → ten-thousandths
- 5 → hundred-thousandths

So, the digit in the ten-thousandths place is 1.

✔ Answer: 1

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f. In 92.643, which digit is in the tens place?

Number: 92.643

Break it down:

- 9 → tens
- 2 → ones
- 6 → tenths
- 4 → hundredths
- 3 → thousandths

So, the digit in the tens place is 9.

✔ Answer: 9

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g. In 0.3157, which digit is in the thousandths place?

Number: 0.3157

Decimal places:

- 3 → tenths
- 1 → hundredths
- 5 → thousandths
- 7 → ten-thousandths

So, the digit in the thousandths place is 5.

✔ Answer: 5

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h. In 984.23516, which digit is in the hundredths place?

Number: 984.23516

Decimal places:

- 2 → tenths
- 3 → hundredths
- 5 → thousandths
- 1 → ten-thousandths
- 6 → hundred-thousandths

So, the digit in the hundredths place is 3.

✔ Answer: 3

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✔ Final Answers:

a. tenths
b. tens
c. ten-thousandths
d. 8
e. 1
f. 9
g. 5
h. 3

Let me know if you'd like a printable version or explanation for kids!