Question

Write 1256.249 in the expanded form using exponents.

Answer 1

The expansion of 1256.249 will be: $1256.249=1\times 1000+2\times 100+5\times 10+6\times 1+2\times \frac{1}{10}+4\times \frac{1}{100}+9\times \frac{1}{1000}$

In exponent form, it will be written as:
$=1\times {10}^3+2\times {10}^2+5\times {10}^1+6\times {10}^0+2\times {10}^{-1}+4\times {10}^{-2}+9\times {10}^{-3}$