Question

Write the $628$ and $3458$ in Generalised Form.

Answer 1

Solution:

The generalized form of $628$ can be written as,

$$\begin{gathered} 628=600+20+8 \\ \Rightarrow =(6\times 100)+(2\times 10)+\left(8\times 1\right) \\ \Rightarrow =(6\times {10}^2)+(2\times {10}^1)+(8\times {10}^0) \end{gathered}$$

The generalized form of $3458$ can be written as,

$$\begin{gathered} 3458=3000+400+50+8 \\ \Rightarrow =(3\times 1000)+(4\times 100)+(5\times 10)+(8\times 1) \\ \Rightarrow =(3\times {10}^3)+(4\times {10}^2)+(5\times {10}^1)+(8\times {10}^0) \end{gathered}$$

Hence, the generalized form of given numbers are,

$628=(6\times {10}^2)+(2\times {10}^1)+(8\times {10}^0)$

$3458=(3\times {10}^3)+(4\times {10}^2)+(5\times {10}^1)+(8\times {10}^0)$