Calculate the quotient below and give your answer in scientific notation. \large{\dfrac{0.00003}{2\times 10^{-5}}} =\ ?
Question
Calculate the quotient below and give your answer in scientific notation.
Solution
Sure, let's solve this step by step:
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First, write the numbers in scientific notation. 0.00003 is 3 x 10^-5 and 2 x 10^-5 is already in scientific notation.
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Now, divide the numbers. When you divide numbers in scientific notation, you divide the coefficients and subtract the exponents.
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The coefficient division is 3 ÷ 2 = 1.5
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The exponent subtraction is -5 - (-5) = 0
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So, the answer is 1.5 x 10^0
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Since any number raised to the power of 0 is 1, the final answer is 1.5 x 1 = 1.5
So, \large{\dfrac{0.00003}{2\times 10^{-5}}} = 1.5
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