Calculate the quotient below and give your answer in scientific notation. \large{\dfrac{2.40\times 10^{2}}{3.0\times 10^{-1}}} =\ ?
Question
Calculate the quotient below and give your answer in scientific notation. \large{\dfrac{2.40\times 10^{2}}{3.0\times 10^{-1}}} =\ ?
Solution
Sure, let's break this down:
Step 1: Separate the problem into two parts: the numbers and the powers of 10.
Step 2: Divide the numbers: 2.40 ÷ 3.0 = 0.8
Step 3: Subtract the exponents: 2 - (-1) = 3
Step 4: Combine the results in scientific notation: 0.8 x 10^3
Step 5: Adjust to proper scientific notation. The number part should be between 1 and 10, so we need to adjust: 0.8 becomes 8 and the exponent decreases by 1 to become 2.
So, the final answer is 8 x 10^2.
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