The value of `117.4 xx 0.0025` is

Options

A. `0.2935`
B. `0.294`
C. `0.3`
D. `0.29`

Answer

To solve the problem of finding the value of \( 117.4 \times 0.0025 \), we will follow these steps:

### Step 1: Perform the Multiplication
First, we need to multiply the two numbers:

\[ 117.4 \times 0.0025 \]

Calculating this gives:

\[ 117.4 \times 0.0025 = 0.2935 \]

### Step 2: Determine Significant Figures
Next, we need to consider the significant figures in our result. The number of significant figures in a product is determined by the number with the least significant figures.

- The number \( 117.4 \) has **4 significant figures**.
- The number \( 0.0025 \) has **2 significant figures**.

Since \( 0.0025 \) has the least number of significant figures (2), our final answer must also be rounded to **2 significant figures**.

### Step 3: Rounding the Result
The result we obtained from the multiplication is \( 0.2935 \). Now, we will round this to 2 significant figures:

- The first two significant figures in \( 0.2935 \) are \( 29 \).
- The next digit (the third significant figure) is \( 3 \), which is less than \( 5 \). Therefore, we do not round up.

Thus, rounding \( 0.2935 \) to 2 significant figures gives us:

\[ 0.29 \]

### Step 4: Final Answer
The final answer, considering significant figures, is:

\[ \boxed{0.29} \]

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