Question 5.6.8: Multiplying Numbers in Scientific Notation Multiply (2.1 × 1......
Multiplying Numbers in Scientific Notation
Multiply (2.1 × 10^5)(9 × 10^{-3}). Write the answer in scientific notation and in decimal notation.
Step-by-Step
We begin by rewriting the product so that 2.1 and 9 are multiplied together and the powers of 10 are multiplied together.
(2.1 × 10^5)(9 × 10^{-3}) = (2.1 × 9)(10^5 × 10^{-3})
= 18.9 × 10^{5 + (-3)}
= 18.9 × 10²
= 1.89 × 10³ Scientific notation
= 1890 Decimal notation
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