Number Challenge worksheet with questions on place value and arithmetic operations.

Let's solve each part of the Number Challenge step by step for the number 2,751,076.

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1. Write the number in words.

Answer:
Two million, seven hundred fifty-one thousand, seventy-six.

> ✔ Explanation: Break it down:
> - 2,000,000 → Two million
> - 751,000 → Seven hundred fifty-one thousand
> - 76 → Seventy-six

So: Two million, seven hundred fifty-one thousand, seventy-six

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2. What digit is in the ten thousands place?

Let’s identify the place values:

```
2,751,076
↓ ↓ ↓ ↓ ↓ ↓ ↓
M H T T T O O
T H O U S E N D S
```

Break it down:
- Millions: 2
- Hundred thousands: 7
- Ten thousands: 5
- Thousands: 1
- Hundreds: 0
- Tens: 7
- Ones: 6

✔ So, the digit in the ten thousands place is 5.

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3. What is the value of the digit 1 in this number?

The digit 1 is in the thousands place.

So its value is:
1 × 1,000 = 1,000

✔ Answer: 1,000

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4. 2,751,076 = 751,000 + 76 + _______

We are given:
- 2,751,076 = 751,000 + 76 + ?

Let’s compute what’s missing:

First, add 751,000 + 76 = 751,076

Now subtract from the total:
2,751,076 – 751,076 = 2,000,000

✔ So the missing number is 2,000,000

Answer: 2,000,000

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5. What is the difference between the place values of two 7s in this number?

Find the two 7s:

- One 7 is in the hundred thousands place → value = 700,000
- The other 7 is in the tens place → value = 70

Difference:
700,000 – 70 = 699,930

✔ Answer: 699,930

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6. What number is 100,000 more than this number?

2,751,076 + 100,000 = 2,851,076

✔ Answer: 2,851,076

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7. What number is 100 less than this number?

2,751,076 – 100 = 2,750,976

✔ Answer: 2,750,976

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8. Round the number to the nearest million.

Look at the hundred thousands place (the digit after millions):

- Number: 2,751,076
- Millions: 2
- Hundred thousands: 7 → which is ≥ 5 → round up

So, 2,751,076 rounds to 3,000,000

✔ Answer: 3,000,000

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9. Find the difference between 2,751,076 and 2,751,075.

2,751,076 – 2,751,075 = 1

✔ Answer: 1

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10. When 2,751,076 is divided by 9, the quotient is ________ and the remainder is ________

Let’s divide 2,751,076 ÷ 9.

Use long division or calculator:

2,751,076 ÷ 9 = ?

Let’s do it step by step:

- 9 × 305,675 = ?
- Try: 9 × 305,675 = ?

Alternatively, use division:

Divide 2,751,076 by 9:

- 9 into 27 → 3 → write 3
- 9 into 0 → 0 → bring down 5 → 9 into 5 → 0 → bring down 1 → 9 into 51 → 5 → 5×9=45 → remainder 6
- Bring down 0 → 60 → 9 into 60 → 6 → 6×9=54 → rem 6
- Bring down 7 → 67 → 9 into 67 → 7 → 7×9=63 → rem 4
- Bring down 6 → 46 → 9 into 46 → 5 → 5×9=45 → rem 1

Wait — let’s do it properly with actual division.

But easier: Use calculator-style approach.

2,751,076 ÷ 9 = ?

Let’s compute:

9 × 305,675 = ?

Try:

9 × 300,000 = 2,700,000
Subtract: 2,751,076 – 2,700,000 = 51,076

Now: 9 × 5,000 = 45,000 → 51,076 – 45,000 = 6,076
9 × 675 = ?
9 × 600 = 5,400
9 × 75 = 675 → 5,400 + 675 = 6,075

So 9 × 675 = 6,075

Total: 300,000 + 5,000 + 675 = 305,675

And 9 × 305,675 = 2,751,075

Now: 2,751,076 – 2,751,075 = 1

So:

- Quotient = 305,675
- Remainder = 1

✔ Answer:
Quotient: 305,675, Remainder: 1

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✔ Final Answers:

1. Two million, seven hundred fifty-one thousand, seventy-six
2. 5
3. 1,000
4. 2,000,000
5. 699,930
6. 2,851,076
7. 2,750,976
8. 3,000,000
9. 1
10. Quotient: 305,675, Remainder: 1

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