Round off the value 2.845 to three significant figures

Options

A. 2.85
B. 2.84
C. `2.80`
D. `2.83`

Answer

To round off the value 2.845 to three significant figures, follow these steps:

### Step 1: Identify the Significant Figures
The number 2.845 has the following digits:
- 2 (first significant figure)
- 8 (second significant figure)
- 4 (third significant figure)
- 5 (next digit, which will determine rounding)

### Step 2: Determine the Rounding Rule
Since we want to round to three significant figures, we look at the digit immediately after the third significant figure, which is 5 in this case. According to rounding rules:
- If the digit is less than 5, we round down.
- If the digit is greater than 5, we round up.
- If the digit is exactly 5, we check the preceding digit (the last significant figure).

### Step 3: Check the Preceding Digit
The digit before the 5 is 4 (the third significant figure). Since 4 is an even number, we do not increase the last significant figure (4) when rounding.

### Step 4: Round the Number
Thus, rounding 2.845 to three significant figures results in:
- The number becomes 2.84.

### Final Answer
The rounded value of 2.845 to three significant figures is **2.84**.

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