Question

(c) work out $\frac{3 \times 10^{5} - 2.7 \times 10^{4}}{6 \times 10^{-2}}$

Explanation:

Step1: Rewrite terms to same exponent

$2.7 \times 10^4 = 0.27 \times 10^5$

Step2: Subtract numerator terms

$3 \times 10^5 - 0.27 \times 10^5 = (3 - 0.27) \times 10^5 = 2.73 \times 10^5$

Step3: Divide by denominator

$\frac{2.73 \times 10^5}{6 \times 10^{-2}} = \frac{2.73}{6} \times 10^{5 - (-2)}$

Step4: Simplify the expression

$0.455 \times 10^7 = 4.55 \times 10^6$

Answer:

$4.55 \times 10^6$