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Using the calculator, find, in scientific notation with appropriate rounding,a) (3.5694 x 109)(1.36894 x 10-4) / (5.36482 x 106)

Question

Using the calculator, find, in scientific notation with appropriate rounding,

a) (3.5694×109)(1.36894×10−4)/(5.36482×106)(3.5694 \times 10^9)(1.36894 \times 10^{-4}) / (5.36482 \times 10^6)

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Solution

Sure, here are the steps to solve the problem:

Step 1: Multiply the two numbers in the numerator (3.5694 x 10^9) and (1.36894 x 10^-4).

Step 2: Divide the result from step 1 by the number in the denominator (5.36482 x 10^6).

Let's do the calculations:

Step 1: (3.5694 x 10^9) * (1.36894 x 10^-4) = 4.886 x 10^5 (rounded to 5 significant figures)

Step 2: (4.886 x 10^5) / (5.36482 x 10^6) = 9.11 x 10^-2 (rounded to 3 significant figures)

So, the answer in scientific notation with appropriate rounding is 9.11 x 10^-2.

This problem has been solved

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