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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. \large{\dfrac{0.00003}{2\times 10^{-5}}} =\ ?

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Solution

Sure, let's solve this step by step:

  1. First, write the numbers in scientific notation. 0.00003 is 3 x 10^-5 and 2 x 10^-5 is already in scientific notation.

  2. Now, divide the numbers. When you divide numbers in scientific notation, you divide the coefficients and subtract the exponents.

  3. The coefficient division is 3 ÷ 2 = 1.5

  4. The exponent subtraction is -5 - (-5) = 0

  5. So, the answer is 1.5 x 10^0

  6. 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

This problem has been solved

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