0.00167 is written in three significant figures with scientific notation as

Options

A. `1.67 xx 10^(-3)`
B. `167.0 xx 10^(-5)`
C. `16.7 xx10^(-4)`
D. `1.670 xx 10^(-3)`

Answer

To express the number 0.00167 in scientific notation with three significant figures, follow these steps:

### Step 1: Identify the Significant Figures
In the number 0.00167, the significant figures are the non-zero digits and any zeros between them. Here, the digits '1', '6', and '7' are significant. The leading zeros (0.00) are not significant.

### Step 2: Rewrite the Number in Scientific Notation
To convert 0.00167 into scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.

1. Move the decimal point in 0.00167 to the right until we have a number between 1 and 10.
- Moving the decimal point three places to the right gives us 1.67.

2. Since we moved the decimal point three places to the right, we multiply by 10 raised to the power of -3 (to indicate that we moved to the right).
- Thus, we write it as:
\[ 1.67 \times 10^{-3} \]

### Step 3: Confirm the Significant Figures
Now, we check to ensure that we have three significant figures in our scientific notation:
- The number 1.67 has three significant figures (1, 6, and 7).

### Final Answer
Thus, 0.00167 written in three significant figures with scientific notation is:
\[ 1.67 \times 10^{-3} \]

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