Place Value of underlined digit - Grade 5 - Exercise 1 - Your Home ... - Free Printable

Let's solve the problem step by step.

We are asked to identify the place value of the underlined digits in each number. The place value tells us the value of a digit based on its position in the number.

Here is the list of numbers with the underlined digits:

1) 47.382203 → 2 (in the thousandths place)
2) 6.0523807 → 3 (in the ten-thousandths place)
3) 41435.225 → 5 (in the ones place)
4) 608.67612 → 6 (in the tenths place)
5) 30.601374 → 3 (in the ten-thousandths place)
6) 876.34455 → 5 (in the hundred-thousandths place)
7) 46.724236 → 2 (in the hundredths place)
8) 83.87465 → 6 (in the thousandths place)
9) 3.1167785 → 7 (in the hundred-thousandths place)
10) 57405.073 → 3 (in the thousandths place)

Now, let’s determine the place value for each underlined digit.

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Step-by-step Explanation:

#### 1) 47.382203 → underlined: 2
- The digits after the decimal point are:
- 1st: tenths
- 2nd: hundredths
- 3rd: thousandths
- 4th: ten-thousandths
- 5th: hundred-thousandths
- 6th: millionths
- The first 2 is in the thousandths place.
- So, the place value is 2 thousandths, or 0.002

Wait — let's look closely at the number:
47.382203
Digits after decimal:
- 3 → tenths
- 8 → hundredths
- 2 → thousandths
- 2 → ten-thousandths
- 0 → hundred-thousandths
- 3 → millionths

So the underlined 2 is in the thousandths place → 0.002

✔ Answer: 0.002

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#### 2) 6.0523807 → underlined: 3
- After decimal:
- 0 → tenths
- 5 → hundredths
- 2 → thousandths
- 3 → ten-thousandths
- So, 3 is in the ten-thousandths place → 0.0003

✔ Answer: 0.0003

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#### 3) 41435.225 → underlined: 5
- This is before the decimal.
- Number: 41,435.225
- Positions from right:
- 5 → ones
- 3 → tens
- 4 → hundreds
- 1 → thousands
- 4 → ten-thousands
- Underlined 5 is in the ones place → 5

✔ Answer: 5

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#### 4) 608.67612 → underlined: 6
- After decimal:
- 6 → tenths
- 7 → hundredths
- 6 → thousandths
- 1 → ten-thousandths
- 2 → hundred-thousandths
- The underlined 6 is the first digit after decimal → tenths place → 0.6

✔ Answer: 0.6

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#### 5) 30.601374 → underlined: 3
- After decimal:
- 6 → tenths
- 0 → hundredths
- 1 → thousandths
- 3 → ten-thousandths
- So, 3 is in the ten-thousandths place → 0.0003

✔ Answer: 0.0003

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#### 6) 876.34455 → underlined: 5
- After decimal:
- 3 → tenths
- 4 → hundredths
- 4 → thousandths
- 5 → ten-thousandths
- 5 → hundred-thousandths
- The last 5 is in the hundred-thousandths place → 0.00005

✔ Answer: 0.00005

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#### 7) 46.724236 → underlined: 2
- After decimal:
- 7 → tenths
- 2 → hundredths
- 4 → thousandths
- 2 → ten-thousandths
- 3 → hundred-thousandths
- 6 → millionths
- The underlined 2 is the second digit after decimal → hundredths place → 0.02

✔ Answer: 0.02

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#### 8) 83.87465 → underlined: 6
- After decimal:
- 8 → tenths
- 7 → hundredths
- 4 → thousandths
- 6 → ten-thousandths
- So, 6 is in the ten-thousandths place → 0.0006

✔ Answer: 0.0006

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#### 9) 3.1167785 → underlined: 7
- After decimal:
- 1 → tenths
- 1 → hundredths
- 6 → thousandths
- 7 → ten-thousandths
- 7 → hundred-thousandths
- 8 → millionths
- 5 → ten-millionths
- The underlined 7 is the fourth digit after decimal → ten-thousandths? Wait, no — let's count:
- 1st: tenths
- 2nd: hundredths
- 3rd: thousandths
- 4th: ten-thousandths
- 5th: hundred-thousandths
- 6th: millionths
- 7th: ten-millionths

But the number is: 3.1167785

Digits after decimal:
- 1 → tenths
- 1 → hundredths
- 6 → thousandths
- 7 → ten-thousandths
- 7 → hundred-thousandths
- 8 → millionths
- 5 → ten-millionths

So the first 7 (after 6) is in the ten-thousandths place → 0.0007

Wait — but which 7 is underlined?

Looking back: 3.1167785 → underlined is the second 7? Or the first?

The image shows: 3.1167785 and the 7 is underlined — it's the fourth digit after decimal, so it's the ten-thousandths place.

But wait:
Position:
- 1st: 1 → tenths
- 2nd: 1 → hundredths
- 3rd: 6 → thousandths
- 4th: 7 → ten-thousandths
- 5th: 7 → hundred-thousandths
- 6th: 8 → millionths
- 7th: 5 → ten-millionths

So the underlined 7 is in the ten-thousandths place → 0.0007

✔ Answer: 0.0007

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#### 10) 57405.073 → underlined: 3
- After decimal:
- 0 → tenths
- 7 → hundredths
- 3 → thousandths
- So, 3 is in the thousandths place → 0.003

✔ Answer: 0.003

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Final Answers:

1) 0.002
2) 0.0003
3) 5
4) 0.6
5) 0.0003
6) 0.00005
7) 0.02
8) 0.0006
9) 0.0007
10) 0.003

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Summary Table:

| Number | Underlined Digit | Place Value |
|--------|------------------|-------------|
| 1) 47.382203 | 2 | 0.002 |
| 2) 6.0523807 | 3 | 0.0003 |
| 3) 41435.225 | 5 | 5 |
| 4) 608.67612 | 6 | 0.6 |
| 5) 30.601374 | 3 | 0.0003 |
| 6) 876.34455 | 5 | 0.00005 |
| 7) 46.724236 | 2 | 0.02 |
| 8) 83.87465 | 6 | 0.0006 |
| 9) 3.1167785 | 7 | 0.0007 |
| 10) 57405.073 | 3 | 0.003 |

You can now fill these answers into the blanks on the worksheet.