Questions: 3.2 × 10^8 × 4 × 10^3 1.78 × 10^9

3.2 × 10^8 × 4 × 10^3 1.78 × 10^9
Transcript text: 3.2 \times 10^{8} \times 4 \times 10^{3} \\ 1.78 \times 10^{9}
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Solution

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Solution Steps

To solve this problem, we need to evaluate the expression given in scientific notation. First, multiply the numbers in the numerator: \(3.2 \times 10^8\) and \(4 \times 10^3\). Then, divide the result by the denominator \(1.78 \times 10^9\). This involves basic operations with numbers in scientific notation.

Step 1: Calculate the Numerator

We start by calculating the numerator of the expression:

\[ 3.2 \times 10^{8} \times 4 \times 10^{3} = 12.8 \times 10^{11} \]

Step 2: Calculate the Denominator

Next, we calculate the denominator:

\[ 1.78 \times 10^{9} = 1.78 \times 10^{9} \]

Step 3: Divide the Numerator by the Denominator

Now, we divide the result from Step 1 by the result from Step 2:

\[ \frac{12.8 \times 10^{11}}{1.78 \times 10^{9}} = 7.219 \times 10^{2} \]

Final Answer

Thus, the final result is:

\[ \boxed{719.1} \]

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