(1.5x10^2)(5x10^10)

Jasonbradley

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Jun 16, 2024

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Simplifying Scientific Notation: (1.5 x 10^2)(5 x 10^10)

This problem involves multiplying two numbers expressed in scientific notation. Let's break down the steps:

Understanding Scientific Notation

Scientific notation is a way of writing very large or very small numbers in a more compact form. It follows the format:

a x 10^b

where:

• a is a number between 1 and 10 (the coefficient)
• b is an integer (the exponent)

Multiplying in Scientific Notation

To multiply numbers in scientific notation, we follow these steps:

1. Multiply the coefficients: (1.5) x (5) = 7.5
2. Add the exponents: 2 + 10 = 12
3. Combine the results: 7.5 x 10^12

Final Answer

Therefore, (1.5 x 10^2)(5 x 10^10) simplifies to 7.5 x 10^12.