1.

Expand the following numbers using exponents.i) 543.67ii) 7054.243iii) 6540.305iv) 6523.450

Answer»

i) 543.67

= (5 × 100) + (4 × 10) + (3 × 100) + (6 / 10) + (7 / 102)

= (5 × 102) + (4 × 10) + (3 × 100) + (6 × 10-1) + (7 × 10-2)   [∵ an = a-n]

ii) 7054.243

= (7 × 1000) + (0 × 100) + (5 × 10) + (4 × 100) + (2 / 10) + (4 / 100) + (3 / 1000)

= (7 × 103) + (0 × 102) + (5 × 101) + (4 × 100) + (2 × 10-1) + (4 × 10-2) + (3 × 10-3)

iii) 6540.305

= (6 × 1000) + (5 × 100) + (4 × 10) + (0 × 100) + (3 / 10) + (0 / 100) + (5 / 1000)

= (6 × 103) + (5 × 102) + (4 × 101) + (0 × 100) + (3 × 10-1) + (0 × 10-2) + (5 × 10-3)

iv) 6523.450

= (6 × 1000) + (5 × 100) + (2 × 10) + (3 × 100) + (4 / 10) + (5 / 100) + (0 / 1000)

= (6 × 103) + (5 × 102) + (2 × 101) + (3 × 100) + (4 × 10-1) + (5 × 10-2) + (0 × 10-3)



Discussion

No Comment Found