(5x10%5E10)-in-scientific-notation.jpeg "(1.5x10^2)(5x10^10) In Scientific Notation")
Simplifying Scientific Notation: (1.5 x 10²) (5 x 10¹⁰)
This article will guide you through the steps to simplify the expression (1.5 x 10²) (5 x 10¹⁰) in scientific notation.
Understanding Scientific Notation
Scientific notation is a way of representing very large or very small numbers in a compact and convenient form. It follows the format: a x 10^b, where:
- a is a number between 1 and 10 (inclusive)
- b is an integer, called the exponent.
Simplifying the Expression
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Multiply the coefficients: 1.5 x 5 = 7.5
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Add the exponents: 2 + 10 = 12
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Combine the results: 7.5 x 10¹²
Therefore, the simplified expression in scientific notation is 7.5 x 10¹².
Key Points to Remember
- When multiplying numbers in scientific notation, multiply the coefficients and add the exponents.
- The coefficient in the final answer should be between 1 and 10. If it's not, adjust the exponent accordingly.