The least number, which must be added to 6709 to make it exactly divisible by 9, is

Options

A. 5
B. 4
C. 7
D. 2

Answer

To find the least number that must be added to 6709 to make it exactly divisible by 9, we can follow these steps:

### Step 1: Find the remainder when 6709 is divided by 9.
To do this, we can sum the digits of 6709 and then find the remainder of that sum when divided by 9.

- The digits of 6709 are 6, 7, 0, and 9.
- Sum of the digits: 6 + 7 + 0 + 9 = 22.

### Step 2: Find the remainder of the sum when divided by 9.
Now, we need to divide 22 by 9 and find the remainder.

- 22 divided by 9 gives a quotient of 2 and a remainder of 4 (since 2 × 9 = 18, and 22 - 18 = 4).

### Step 3: Determine how much more is needed to reach the next multiple of 9.
Since the remainder is 4, we need to add enough to make the total a multiple of 9. The next multiple of 9 after 22 is 27.

- To find out how much we need to add: 27 - 22 = 5.

### Step 4: Conclusion
Thus, the least number that must be added to 6709 to make it exactly divisible by 9 is **5**.