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 four significant figures: 2, 8, 4, and 5.

**Step 2: Determine how many figures to keep**
We need to round this number to three significant figures. This means we will keep the first three digits: 2, 8, and 4.

**Step 3: Look at the digit following the last significant figure**
The next digit after the third significant figure (which is 4) is 5.

**Step 4: Apply the rounding rule**
According to rounding rules, if the digit following the last significant figure is 5, we look at the preceding digit (which is 4 in this case). Since 4 is even, we do not increase it. Therefore, we keep it as is.

**Step 5: Write the rounded number**
Thus, rounding 2.845 to three significant figures gives us 2.84.

Final answer: **2.84**

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