Express the following numbers in standard form: 6020000000000000 , 0.00000000000942

Question

Express the following numbers in standard form:

(i) 6020000000000000

(ii) 0.00000000000942

(iii) 0.00000000085

(iv) 3759 × 10^-4

(v) 4 ÷ 100000

Answer 1

(i) The total digits leaving 1st digit from the left is 15

∴ the standard form is 6.02 × 10¹⁵

(ii) Total digits after decimal is 12

∴ the standard form is 9.42 × 10^-12

(iii) Total digits after decimal is 10

∴ the standard form is 8.5 × 10^-10

(iv) The total digits leaving 1st digit from the left is 3

3759 × 10^-4 = 3.759 × 10³ × 10^-4

 = 3.759 × 10^3+(-4) 

= 3.759 × 10^-1

(v) The standard form is 4 × 10^-5