Problem

Question 7 Evaluate using scientific notation; with the decimal part rounded to three significant digits when necessary. \[ \left(5.4 \times 10^{-6}\right)\left(1.8 \times 10^{-6}\right)\left(4.2 \times 10^{7}\right) \] $4.082 \times 10^{3}$ $4.08 \times 10^{-3}$ $4.082 \times 10^{4}$

Solution

Step 1 :Multiply the numbers: \(5.4 \times 1.8 \times 4.2 = 40.824\)

Step 2 :Add the exponents: \(-6 + -6 + 7 = -5\)

Step 3 :Convert to scientific notation: \(40.824 \times 10^{-5} = 4.0824 \times 10^{-4}\)

Step 4 :Round to three significant digits: \(4.0824 \times 10^{-4} = 4.082 \times 10^{-4}\)

Step 5 :\(\boxed{4.082 \times 10^{-4}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/I0REBy3ykD/

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