What is 0.0970 written is scientific notation?

Options

A. `970xx10^(-4)`
B. `9.7xx10^(-3)`
C. `9.70 xx 10^(-2)`
D. `97.0 xx10^(-2)`

Answer

To convert the number 0.0970 into scientific notation, follow these steps:

### Step 1: Identify the Significant Figures
The number 0.0970 has significant figures. The leading zeros (0.0) are not counted as significant. The significant figures start from the first non-zero digit, which is 9 in this case.

### Step 2: Move the Decimal Point
To express the number in scientific notation, we need to move the decimal point to the right of the first non-zero digit. For 0.0970, we move the decimal point two places to the right, which gives us 9.70.

### Step 3: Determine the Power of 10
Since we moved the decimal point two places to the right, we will express this movement as a negative exponent of 10. Therefore, we write it as \(10^{-2}\).

### Step 4: Combine the Results
Now, we can combine the significant figure with the power of 10. Thus, 0.0970 in scientific notation is written as:
\[ 9.70 \times 10^{-2} \]

### Final Answer
So, the final answer is:
\[ 0.0970 = 9.70 \times 10^{-2} \]

---