Following the rules of rounding off, round $2.745$ and $2.735$ to three significant figures.... | error analysis Q&A

Source: Extra Practice

Following the rules of rounding off, round $2.745$ and $2.735$ to three significant figures.

Options

2.74 and 2.74

2.75 and 2.74

2.74 and 2.73

2.75 and 2.73

Explanation

According to NCERT/scientific rounding rules: If the digit to be dropped is 5, then the preceding digit is left unchanged if it is even, and increased by 1 if it is odd. For $2.745$ , the digit preceding 5 is '4' (even), so it remains $2.74$ . For $2.735$ , the digit preceding 5 is '3' (odd), so it is rounded up to $2.74$ . Option A is correct.