Express the following numbers in the usual form.(i) 4.37 × 105(ii) 5.

1.	Express the following numbers in the usual form.(i) 4.37 × 105(ii) 5.8 × 107(iii) 32.5 × 10-4(iv) 3.71529 × 107(v) 3789 × 10-5(vi) 24.36 × 10-3
Answer» (i) 4.37 × 10⁵ = 4.37 × 100000 = 437000 (ii) 5.8 × 10⁷ = 5.8 × 10000000 (iii) 32.5 × 10^-4 = 32.5 / 10⁴ = 32.5 / 10000 = 0.00325 (iv) 3.71529 × 10⁷ = 3.71529 × 10000000 = 37152900 (v) 3789 × 10^-5 = 3789 / 10⁵= 3789 / 100000 = 0.03789 (vi) 24.36 × 10^-3 = 24.36 / 10³= 24.36 / 1000 = 0.02436

Express the following numbers in the usual form.(i) 4.37 × 105(ii) 5.8 × 107(iii) 32.5 × 10-4(iv) 3.71529 × 107(v) 3789 × 10-5(vi) 24.36 × 10-3

Answer»

(i) 4.37 × 10⁵

= 4.37 × 100000

= 437000

(ii) 5.8 × 10⁷

= 5.8 × 10000000

(iii) 32.5 × 10^-4

= 32.5 / 10⁴ = 32.5 / 10000

= 0.00325

(iv) 3.71529 × 10⁷

= 3.71529 × 10000000

= 37152900

(v) 3789 × 10^-5

= 3789 / 10⁵= 3789 / 100000

= 0.03789

(vi) 24.36 × 10^-3

= 24.36 / 10³= 24.36 / 1000

= 0.02436