Place Value worksheet with examples and practice problems for learning number values.

Let's solve the Place Value worksheet step by step and explain each answer.

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Understanding Place Value

Each digit in a number has its own value based on its position. Here's the place value chart for reference:

| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|--------------|------------------------|-------------------|---------------|--------------|----------|----------|
| 2 | 1 | 4 | 6 | 8 | 0 | 7 |

So, for the number 2,146,807, we can break it down as:
- 2 → Millions
- 1 → Hundred Thousands
- 4 → Ten Thousands
- 6 → Thousands
- 8 → Hundreds
- 0 → Tens
- 7 → Ones

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Part A: Use the number 2,146,807 to answer the following questions

#### 1) Which digit in this number has the least value?

We look at all digits: 2, 1, 4, 6, 8, 0, 7

The smallest digit is 0, which is in the Tens place.

✔ Answer: 0

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#### 2) Which digit in this number has the greatest value?

We compare the digits: 2, 1, 4, 6, 8, 0, 7

The largest digit is 8, but we must consider place value — not just the digit itself.

Let’s check the actual value of each digit:

- 2 → 2,000,000
- 1 → 100,000
- 4 → 40,000
- 6 → 6,000
- 8 → 800
- 0 → 0
- 7 → 7

Even though 8 is a larger digit than 2, 2 is in the millions place, so it has the greatest value.

✔ Answer: 2 (because it represents 2,000,000)

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#### 3) What is the value of the digit in the hundreds place?

The digit in the hundreds place is 8.

So, its value is 8 × 100 = 800

✔ Answer: 800

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#### 4) What is the value of the digit in the hundredths place?

Wait! The number 2,146,807 does not have any decimal places. So there is no hundredths place.

But let’s read carefully: "hundredths" refers to decimal places (tenths, hundredths, etc.), which are after the decimal point.

Since this number has no decimal point, there is no hundredths place.

But perhaps this is a trick question or typo?

Alternatively, maybe it meant hundreds? But it says hundredths.

✔ Answer: There is no hundredths place in this number. It's 0.

But since it's a whole number, the hundredths place is 0 if we write it as 2,146,807.00.

So technically:
→ 2,146,807.00
→ Hundredths place = 0

✔ Answer: 0

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Part B: Write the value of the underlined digit in each number below

We'll go through each one:

#### 5) 894,203 → underline 8

- 8 is in the hundred thousands place.
- Value = 8 × 100,000 = 800,000

✔ Answer: 800,000

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#### 6) 296,310 → underline 6

- 6 is in the thousands place.
- Value = 6 × 1,000 = 6,000

✔ Answer: 6,000

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#### 7) 8,432,720 → underline 4

- 4 is in the hundred thousands place.
- Value = 4 × 100,000 = 400,000

✔ Answer: 400,000

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#### 8) 924,116 → underline 9

- 9 is in the hundred thousands place.
- Value = 9 × 100,000 = 900,000

✔ Answer: 900,000

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#### 9) 3,232,332 → underline 3 (first one)

- The first 3 is in the millions place.
- Value = 3 × 1,000,000 = 3,000,000

✔ Answer: 3,000,000

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#### 10) 3,557,120 → underline 7

- 7 is in the hundreds place.
- Value = 7 × 100 = 700

✔ Answer: 700

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#### 11) 640,305 → underline 6

- 6 is in the hundred thousands place.
- Value = 6 × 100,000 = 600,000

✔ Answer: 600,000

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#### 12) 1,143,102 → underline 1 (the second one)

- Let's write it out: 1,143,102
- Positions:
- 1 → Millions
- 1 → Hundred Thousands
- 4 → Ten Thousands
- 3 → Thousands
- 1 → Hundreds
- 0 → Tens
- 2 → Ones

The second 1 is in the hundred thousands place.

Value = 1 × 100,000 = 100,000

✔ Answer: 100,000

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✔ Final Answers Summary:

Part A:
1) 0
2) 2 (because it represents 2,000,000)
3) 800
4) 0 (since no decimal, hundredths = 0)

Part B:
5) 800,000
6) 6,000
7) 400,000
8) 900,000
9) 3,000,000
10) 700
11) 600,000
12) 100,000

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