The number 35769 rounds off to the nearest hundred is _____ .

Options

A. 4000
B. 36000
C. 35800
D. 35000

Answer

To round off the number 35769 to the nearest hundred, follow these steps:

### Step 1: Identify the hundreds place
The number 35769 has the following digits:
- Ten thousands: 3
- Thousands: 5
- Hundreds: 7
- Tens: 6
- Units: 9

The hundreds place is represented by the digit **7**.

### Step 2: Look at the tens place
The digit immediately to the right of the hundreds place is the tens place, which is **6** in this case.

### Step 3: Determine whether to round up or down
To round to the nearest hundred:
- If the tens digit (6) is **5 or more**, we round **up**.
- If the tens digit is **less than 5**, we round **down**.

Since the tens digit is **6**, which is greater than 5, we will round up.

### Step 4: Add 1 to the hundreds place
Now, we add 1 to the hundreds digit (7):
- 7 + 1 = 8

### Step 5: Change the digits to the right of the hundreds place to zero
After rounding, we replace the tens and units digits with zeros. Thus, the number becomes:
- 800

### Final Answer
The number 35769 rounds off to the nearest hundred is **800**.

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