Question

Expand the following numbers using exponents.

1)8120
2) 20305
3) 3652.01
4)9426.521​

Answer 1

Step-by-step explanation:

(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)