Round off 0.1525 upto three significant figures

Options

A. 0.153
B. 0.152
C. 0.16
D. 0.15

Answer

To round off the number 0.1525 to three significant figures, follow these steps:

### Step 1: Identify the significant figures
The number 0.1525 has four significant figures. The leading zero (0 before the decimal point) is not counted as a significant figure. The significant figures in 0.1525 are 1, 5, 2, and 5.

**Hint:** Significant figures include all non-zero digits and any zeros between them or after the decimal point.

### Step 2: Determine the rounding point
Since we need to round to three significant figures, we will focus on the first three digits: 1, 5, and 2. The next digit (the fourth significant figure) is 5.

**Hint:** When rounding, look at the digit immediately after the last significant figure you want to keep.

### Step 3: Apply rounding rules
According to rounding rules:
- If the digit after the last significant figure is less than 5, you keep the last significant figure as is.
- If it is 5 or greater, you round up the last significant figure.

In this case, the digit after the third significant figure (2) is 5. Since 2 is even, we apply the "even rule," which states that if the digit to be rounded is 5 and the last significant figure is even, we keep it the same.

**Hint:** Remember the "even rule" for rounding when the digit is 5.

### Step 4: Write the rounded number
Thus, rounding 0.1525 to three significant figures gives us 0.152.

**Hint:** The final answer should maintain the same decimal placement as the original number.

### Final Answer:
0.152