Questions: (1.0432 × 10^3) × (1.2870 × 10^-2)

Transcript text: Part 3 of 4 \[ \left(1.0432 \times 10^{3}\right) \times\left(1.2870 \times 10^{-2}\right) \]

Solution

Solution Steps

To solve the given expression, we need to multiply two numbers in scientific notation. The multiplication of numbers in scientific notation involves multiplying their coefficients and adding their exponents.

Step 1: Multiply the Coefficients

First, we multiply the coefficients of the two numbers: \[ 1.0432 \times 1.287 = 1.3426 \]

Step 2: Add the Exponents

Next, we add the exponents of the two numbers: \[ 3 + (-2) = 1 \]

Step 3: Combine the Results

Finally, we combine the results from the previous steps to get the final result in scientific notation: \[ 1.3426 \times 10^1 = 13.426 \]

Final Answer

\[ \boxed{13.426} \]

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