The least number must be subtracted from 6708 to make it exactly dvisible by 9 is:

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the least number that must be subtracted from 6708 to make it exactly divisible by 9, we can follow these steps:

### Step 1: Check the divisibility by 9
To check if a number is divisible by 9, we can sum its digits and see if that sum is divisible by 9.

**Calculation:**
- The digits of 6708 are 6, 7, 0, and 8.
- Sum of the digits = 6 + 7 + 0 + 8 = 21.

### Step 2: Find the remainder when divided by 9
Next, we need to find the remainder of the sum when divided by 9.

**Calculation:**
- 21 divided by 9 gives a quotient of 2 and a remainder of 3 (since 9 x 2 = 18, and 21 - 18 = 3).

### Step 3: Determine the least number to subtract
The remainder we found (3) is the least number that must be subtracted from 6708 to make it divisible by 9.

**Conclusion:**
- If we subtract 3 from 6708, we get 6705.
- Now, we can check if 6705 is divisible by 9.

### Step 4: Verify the result
To verify, we can sum the digits of 6705 and check for divisibility by 9.

**Calculation:**
- The digits of 6705 are 6, 7, 0, and 5.
- Sum of the digits = 6 + 7 + 0 + 5 = 18.
- Since 18 is divisible by 9, 6705 is indeed divisible by 9.

### Final Answer:
The least number that must be subtracted from 6708 to make it exactly divisible by 9 is **3**.

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