`9765 div 14.39 = 678.59625`. This quotient on rounding off to two significant figures is

Options

A. 680
B. 70
C. 678.6
D. 679

Answer

To solve the problem of rounding off the quotient \( 678.59625 \) to two significant figures, we will follow these steps:

### Step 1: Identify the first two significant figures
The first two significant figures in the number \( 678.59625 \) are \( 6 \) and \( 7 \).

### Step 2: Look at the next digit
The next digit after \( 67 \) is \( 8 \).

### Step 3: Apply rounding rules
Since \( 8 \) is greater than \( 5 \), we round up the last significant figure (which is \( 7 \)) by \( 1 \).

### Step 4: Perform the rounding
Adding \( 1 \) to \( 7 \) gives us \( 8 \). Therefore, the rounded number becomes \( 68 \).

### Step 5: Determine the place value
Since we are rounding to two significant figures, we need to place this in the correct decimal place. The number \( 678.59625 \) rounded to two significant figures is \( 680 \) (we add a zero to indicate the place value).

### Final Answer
Thus, the quotient \( 678.59625 \) rounded off to two significant figures is \( 680 \).

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