Question

1. $\frac{1.2\times10^{8}}{4\times10^{3}}$ scientific: $3.0\times10^{4}$ standard: $30000$

Explanation:

Step1: Divide the coefficients

$\frac{1.2}{4}=0.3$

Step2: Divide the powers of 10

$\frac{10^{8}}{10^{3}} = 10^{8 - 3}=10^{5}$

Step3: Combine the results

$0.3\times10^{5}$

Step4: Adjust to scientific - notation

$3.0\times10^{4}$ (since $0.3\times10^{5}=3.0\times10^{- 1}\times10^{5}=3.0\times10^{4}$)

Step5: Convert to standard form

$3.0\times10^{4}=30000$

Answer:

Scientific: $3.0\times10^{4}$
Standard: $30000$