The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give

Options

A. 2.75 and 2.74
B. 2.74 and 2.73
C. 2.75 and 2.73
D. 2.74 and 2.74

Explanation

To round off the numbers 2.745 and 2.735 to three significant figures, we will follow these steps:

### Step 1: Identify the significant figures
- For the number **2.745**, the significant figures are 2, 7, 4, and 5. This number has four significant figures.
- For the number **2.735**, the significant figures are also 2, 7, 3, and 5. This number also has four significant figures.

### Step 2: Rounding off 2.745 to three significant figures
- The first three significant figures are **2.74** (the digits 2, 7, and 4).
- The next digit (the fourth significant figure) is **5**.
- Since the digit following the last significant figure (4) is **5**, we apply the rounding rule. According to the rounding rule, if the digit is **even**, we do not increase the last significant figure. Therefore, we keep it as **2.74**.

### Step 3: Rounding off 2.735 to three significant figures
- The first three significant figures are **2.73** (the digits 2, 7, and 3).
- The next digit (the fourth significant figure) is **5**.
- Since the digit following the last significant figure (3) is **5**, and the last significant figure (3) is **odd**, we increase it by 1. Therefore, we round it up to **2.74**.

### Final Results
- The rounded value of **2.745** to three significant figures is **2.74**.
- The rounded value of **2.735** to three significant figures is also **2.74**.

Thus, both numbers rounded to three significant figures give **2.74**.