Math worksheet focusing on understanding the place value of digits in numbers.

Let's solve each question step by step and explain the reasoning behind the answers.

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1) Write the value of the digit 8 in these numbers:

We need to determine the place value of the digit 8 in each number.

- 892,123:
The digit 8 is in the hundred thousands place.
So, its value is: 800,000

- 766,823:
The digit 8 is in the hundreds place.
So, its value is: 800

- 18,306:
The digit 8 is in the thousands place.
So, its value is: 8,000

✔ Answers:
800,000  800  8,000

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2) Write the value of the digit 2 in these numbers:

- 562,334:
The digit 2 is in the thousands place → 2,000

- 288,330:
The digit 2 is in the hundred thousands place → 200,000

- 25,760:
The digit 2 is in the ten thousands place → 20,000

✔ Answers:
2,000  200,000  20,000

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3) Write the value of the digit 6 in these numbers:

- 345,456:
The digit 6 is in the ones place → 6

- 612,225:
The digit 6 is in the hundred thousands place → 600,000

- 61,999:
The digit 6 is in the ten thousands place → 60,000

✔ Answers:
6  600,000  60,000

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4) Write the value of the digit 2 in these numbers:

- 345.214:
The digit 2 is in the tenths place (after decimal point).
So, value is: 0.2 or 2/10

- 920,444:
The digit 2 is in the ten thousands place → 20,000

- 12,889:
The digit 2 is in the thousands place → 2,000

✔ Answers:
0.2  20,000  2,000

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5) Write the value of the digit 3 in these numbers:

- 234,125:
The digit 3 is in the ten thousands place → 30,000

- 368,056:
The digit 3 is in the hundred thousands place → 300,000

- 42,893:
The digit 3 is in the ones place → 3

✔ Answers:
30,000  300,000  3

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6) Circle each number in which the 4 has the value of 400,000

We are looking for numbers where the digit 4 is in the hundred thousands place → that means it represents 400,000

Check each number:

- 324,007: 4 is in the thousands place → 4,000 ✘
- 423,720: 4 is in the hundred thousands place → 400,000 ✔
- 322,427: 4 is in the hundreds place → 400 ✘
- 450,000: 4 is in the hundred thousands place → 400,000 ✔
- 849,000: 4 is in the ten thousands place → 40,000 ✘

✔ Circle:
423,720 and 450,000

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7) Circle each number in which the 3 has the value of 30,000

We want the digit 3 to be in the ten thousands place → value = 30,000

Check:

- 325,007: 3 is in hundred thousands → 300,000 ✘
- 430,251: 3 is in ten thousands → 30,000 ✔
- 124,335: 3 is in tens place → 30 ✘
- 230,001: 3 is in ten thousands → 30,000 ✔
- 999,030: 3 is in ones → 3 ✘

✔ Circle:
430,251 and 230,001

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8) Circle each number in which the 4 has the value of 4,000

We want the digit 4 to be in the thousands place → value = 4,000

Check:

- 124,321: 4 is in hundreds place → 400 ✘
- 240,089: 4 is in ten thousands place → 40,000 ✘
- 421,432: 4 is in hundred thousands → 400,000 ✘
- 554,510: 4 is in hundreds place → 400 ✘
- 813,470: 4 is in hundreds place → 400 ✘

Wait — none have a 4 in the thousands place?

Let’s check carefully:

- 124,321: digits: 1 (hundred thousands), 2 (ten thousands), 4 (thousands) → YES! 4,000 ✔

So:

- 124,321: 4 is in thousands place → 4,000 ✔
- 240,089: 4 is in ten thousands → 40,000 ✘
- 421,432: 4 is in hundred thousands → 400,000 ✘
- 554,510: 4 is in hundreds → 400 ✘
- 813,470: 4 is in hundreds → 400 ✘

✔ Only one: 124,321

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✔ Final Answers:

#### 1)
800,000  800  8,000

#### 2)
2,000  200,000  20,000

#### 3)
6  600,000  60,000

#### 4)
0.2  20,000  2,000

#### 5)
30,000  300,000  3

#### 6) Circle:
423,720, 450,000

#### 7) Circle:
430,251, 230,001

#### 8) Circle:
124,321

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