Question

Express each of the following in standard form:
(i) 345
(ii) 180000
(iii) 0.000003
(iv) 0.000027

Answer 1

(i) $345=3.45\times 100=3.45\times {10}^2$

(ii) $180000=18\times 10000=18\times {10}^4=1.8\times 10\times {10}^4=1.8\times {10}^{\left(1+4\right)}=1.8\times {10}^5$

(iii) $0.000003=\frac{3}{1000000}=3\times {10}^{-6}$

(iv) $0.000027=\frac{27}{100000}=\frac{27}{{10}^6}=\frac{2.7\times 10}{{10}^6}=2.7\times {10}^{\left(1-6\right)}=2.7\times {10}^{-5}$