SI Format Determining Place and Value of Decimal Numbers from ... - Free Printable

Let's solve each problem step by step. We are asked to determine the place and value of each underlined digit in the given numbers.

We'll go through each number one by one, identify the place (e.g., tens, tenths, hundredths, etc.) of the underlined digit, and then find its value (the actual numerical worth based on its position).

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1. 81 002.80617

Underlined digits:
- 0 (in 81 002.80617) → this is the hundreds place
- 8 (after decimal) → this is the tenths place

Let’s break it down:

- The number is: 81,002.80617
- Place values from left to right:
- 8 → ten thousands
- 1 → thousands
- 0 → hundreds → so the place is hundreds, and the value is 0 × 100 = 0
- 0 → tens
- 2 → ones
- . → decimal point
- 8 → tenths → place: tenths, value: 8 × 0.1 = 0.8

✔ So:
- Underlined 0: Place = Hundreds, Value = 0
- Underlined 8: Place = Tenths, Value = 0.8

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2. 25 967.85346

Underlined digits:
- 9 → in 25 967 → that’s the hundreds place
- 6 → in .85346 → that’s the ten-thousandths place

Breakdown:

- Number: 25,967.85346
- Digits:
- 2 → ten thousands
- 5 → thousands
- 9 → hundreds → Place = Hundreds, Value = 9 × 100 = 900
- 6 → tens
- 7 → ones
- . → decimal
- 8 → tenths
- 5 → hundredths
- 3 → thousandths
- 4 → ten-thousandths
- 6 → hundred-thousandths → Place = Hundred-thousandths, Value = 6 × 0.00001 = 0.00006

✔ So:
- Underlined 9: Place = Hundreds, Value = 900
- Underlined 6: Place = Hundred-thousandths, Value = 0.00006

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3. 57 755.41560

Underlined digits:
- 5 → first digit → ten thousands
- 0 → last digit → hundred-thousandths

Number: 57,755.41560

Breakdown:
- 5 → ten thousands
- 7 → thousands
- 7 → hundreds
- 5 → tens
- 5 → ones
- . → decimal
- 4 → tenths
- 1 → hundredths
- 5 → thousandths
- 6 → ten-thousandths
- 0 → hundred-thousandths → Place = Hundred-thousandths, Value = 0 × 0.00001 = 0

Wait — but the first underlined digit is 5 at the beginning?

Looking again:
The number is: 57 755.41560
Underlined: 5 (first digit), and 0 (last digit)

So:
- First 5: it's in the ten thousands place → Place = Ten Thousands, Value = 5 × 10,000 = 50,000
- Last 0: it's the hundred-thousandths place → Place = Hundred-thousandths, Value = 0 × 0.00001 = 0

✔ So:
- Underlined 5: Place = Ten Thousands, Value = 50,000
- Underlined 0: Place = Hundred-thousandths, Value = 0

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4. 52 127.69367

Underlined digits:
- 2 → in 52,127 → second digit → thousands
- 3 → in .69367 → third digit after decimal → thousandths

Breakdown:
- 5 → ten thousands
- 2 → thousands → Place = Thousands, Value = 2 × 1,000 = 2,000
- 1 → hundreds
- 2 → tens
- 7 → ones
- . → decimal
- 6 → tenths
- 9 → hundredths
- 3 → thousandths → Place = Thousandths, Value = 3 × 0.001 = 0.003

✔ So:
- Underlined 2: Place = Thousands, Value = 2,000
- Underlined 3: Place = Thousandths, Value = 0.003

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5. 42 004.47867

Underlined digits:
- 2 → in 42,004 → second digit → thousands
- 4 → after decimal → first digit → tenths

Breakdown:
- 4 → ten thousands
- 2 → thousands → Place = Thousands, Value = 2 × 1,000 = 2,000
- 0 → hundreds
- 0 → tens
- 4 → ones
- . → decimal
- 4 → tenths → Place = Tenths, Value = 4 × 0.1 = 0.4

✔ So:
- Underlined 2: Place = Thousands, Value = 2,000
- Underlined 4: Place = Tenths, Value = 0.4

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✔ Final Answers:

| Problem | Underlined Digit | Place | Value |
|--------|------------------|---------------------|---------------|
| 1 | 0 | Hundreds | 0 |
| | 8 | Tenths | 0.8 |
| 2 | 9 | Hundreds | 900 |
| | 6 | Hundred-thousandths | 0.00006 |
| 3 | 5 | Ten Thousands | 50,000 |
| | 0 | Hundred-thousandths | 0 |
| 4 | 2 | Thousands | 2,000 |
| | 3 | Thousandths | 0.003 |
| 5 | 2 | Thousands | 2,000 |
| | 4 | Tenths | 0.4 |

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Let me know if you'd like this formatted as a printable answer sheet!