Express each of the following in standard form: (i) 345 (ii) 180000�

1.	Express each of the following in standard form: (i) 345 (ii) 180000 (iii) 0.000003 (iv) 0.000027
Answer» (i) 345 = 3.45 × 100 = 3.45 × 10² (ii) 180000 = 18 × 1000 = 18 × 10⁴ = 1.8 × 10 × 10⁴ =1.8 × 10⁽¹⁺⁴⁾ =1.8 × 10⁵ (iii) 0.000003 = \(\frac{3}{1000000}\) = 3 × 10^-6 (iv) 0.000027 = \(\frac{27}{1000000}=\frac{27}{10^6}=\frac{2.7\times10}{10^6}\) = 2.7 × 10^(1-6)= 2.7 × 10^-5

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

Answer»

(i) 345 = 3.45 × 100 = 3.45 × 10²

(ii) 180000 = 18 × 1000 = 18 × 10⁴ = 1.8 × 10 × 10⁴ =1.8 × 10⁽¹⁺⁴⁾ =1.8 × 10⁵

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

(iv) 0.000027 = \(\frac{27}{1000000}=\frac{27}{10^6}=\frac{2.7\times10}{10^6}\) = 2.7 × 10^(1-6)= 2.7 × 10^-5