Questions: Calculate: (2.24 × 10^6)(2.00 × 10^-12) Write your answer in scientific notation.

Solution Steps

To solve the problem of multiplying two numbers in scientific notation, we can multiply the significant figures (the numbers before the powers of ten) and then add the exponents of ten. This will give us the result in scientific notation.

We are given two numbers in scientific notation: \(2.24 \times 10^{6}\) and \(2.00 \times 10^{-12}\).

Multiply the significant figures of the two numbers: \[ 2.24 \times 2.00 = 4.48 \]

Add the exponents of the powers of ten: \[ 6 + (-12) = -6 \]

Combine the result from Step 2 and Step 3 to express the product in scientific notation: \[ 4.48 \times 10^{-6} \]

Final Answer