Express the following numbers in standard form:(i) 6020000000000000(ii

1.	Express the following numbers in standard form:(i) 6020000000000000(ii) 0.00000000000942(iii) 0.00000000085(iv) 3759 × 10-4(v) 4 ÷ 100000
Answer» (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

Express the following numbers in standard form:(i) 6020000000000000(ii) 0.00000000000942(iii) 0.00000000085(iv) 3759 × 10-4(v) 4 ÷ 100000

Answer»

(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