Question

Expand the following numbers using exponents:

(i) 8120
(ii) 20305
(iii) 3652.01
(iv) 9426.521

Answer 1

(i) 8120

= (8 x 1000) + (1 x 100) + (2 x 10) + 0 x 1

= (8 x 10³) + (1 x 10²) + (2 x 10¹)

(ii) 20305 

= (2 x 10000) + (0 x 1000) + (3 x 100) + (0 x 10) + (5 x 1)

= (2 x 10⁴) + (3 x 10²) + 5

(iii) 3652.01 

= 3000 + 600 + 50 + 2 + 0/10 + 1/100

= (3 x 1000) +(6 x 100) + (5 x 10) + (2 x 1) + (1 x 1100)

= (3 x 10³) + (6 x 10²) + (5 x 10¹) + 2 + (1 x 10^-2)

(iv) 9426.521

= (9 x 1000) + (4 x 100) + (2 x 10) + (6 x 1) + (5/10) + (2/100) + (1/1000)

= (9 x 10³) + (4 x 10²) + (2 x 10¹) + 6 + (5 x 10^-1) + (2 x 10^-2) + (1 x 10^-3)