Question

Problem: Express the following numbers in standard form:

(i) 0.0000000000085                   (ii) 0.00000000000942                  (iii) 6020000000000000
(iv) 0.00000000837              
(v) 31860000000
​

Answer 1

(i) 8.5 × 10^-12

(ii) 9.42 × 10^-12

(iii) 602 × 10^15

(iv) 8.37 × 10^-9

(v) 3.186 × 10^10

Explanation:

(i) 0.0000000000085

= 0.0000000000085 × 10^12/10^12

= 8.5/10^12

= 8.5 × 10^-12

(ii) 0.00000000000942

= 0.00000000000942 × 10^12/10^12

= 9.42/10^12

= 9.42 × 10^-12

(iii) 6020000000000000

= 602 × 10^15

(iv) 0.00000000837

= 0.00000000837 × 10^9/10^9

= 8.37/10^9

= 8.37 × 10^-9

(v) 31860000000

= 3.186 × 10^10

-TheUnknownScientist