Question

Expand the following numbers using exponents:

a) 1029.63

b) 1296.249

Answer 1

(a) 1029.63 = 1(1000) + 0(100) + 2(10) + 9(1) + $\frac{6}{10}+\frac{3}{100}$

$1029.63=1\times {10}^3+0\times {10}^2+2\times {10}^1+9\times {10}^0+6\times {10}^{-1}+3\times {10}^{-2}$


(b) 1296.249 = 1(1000) + 2(100) + 9(10) + 6(1) +$\frac{2}{10}+\frac{4}{100}+\frac{9}{1000}$

$1296.249=1\times {10}^3+2\times {10}^2+9\times {10}^1+6\times {10}^0+2\times {10}^{-1}+4\times {10}^{-2}+9\times {10}^{-3}$