Question
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1) \( \left(1,2 \times 10^{6}\right) \times\left(1,2 \times 10^{7}\right) \)

Ask by Bob Reyes. in South Africa
Feb 25,2025

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Tutor-Verified Answer

Answer

The result is \( 1.44 \times 10^{13} \).

Solution

Calculate or simplify the expression \( (1,2 \times 10^{6}) \times (1,2 \times 10^{7}) \). Calculate the value by following steps: - step0: Calculate: \(1.2\times 10^{6}\times 1.2\times 10^{7}\) - step1: Multiply the numbers: \(1.44\times 10^{6}\times 10^{7}\) - step2: Multiply: \(1.44\times 10^{13}\) The result of the multiplication \( \left(1,2 \times 10^{6}\right) \times\left(1,2 \times 10^{7}\right) \) is \( 1.44 \times 10^{13} \).

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Bonus Knowledge

To multiply these two numbers in scientific notation, you simply multiply the coefficients and then add the exponents. So, \( (1.2 \times 10^{6}) \times (1.2 \times 10^{7}) = (1.2 \times 1.2) \times (10^{6} \times 10^{7}) \). Calculating that gives \( 1.44 \times 10^{(6+7)} = 1.44 \times 10^{13} \). Now you have the product \( 1.44 \times 10^{13} \), a neat way to express large numbers! It's like storing your mega-bucks in a treasure chest labeled just for easy access. If you're ever confused about multiplying in scientific notation, remember that you're really just handling two parts: the numbers in front and the powers of ten. Keep it simple, focus on one part at a time, and you'll ace it every time!

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