Question

Express 10, 100, 1000, 10000, 100000 in exponential form.

Answer 1

Hint: As we all know that the exponential form is a way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats. So, simply write the number as a base and its repeats as its exponent. For example $$5^2,{10}^6$$ … etc

Complete step-by-step answer:
So now we have to write the given numbers as in their exponential form
So, we can write number 10 as $${10}^1$$
We can write number 100 as $$10\times 10\mathrm{o}\mathrm{r}10^2$$
We can write number 1000 as $$10\times 10\times 10\mathrm{o}\mathrm{r}10^3$$
We can write number 10000 as $$10\times 10\times 10\times 10\mathrm{o}\mathrm{r}10^4$$
We can write number 100000 as $$10\times 10\times 10\times 10\times 10\mathrm{o}\mathrm{r}10^5$$
So the Exponential form of 10 is $${10}^1$$
So the Exponential form of 100 is $${10}^2$$
So the Exponential form of 1000 is $${10}^3$$
So the Exponential form of 10000 is $${10}^4$$
So the Exponential form of 100000 is $${10}^5$$

Note: We should know the meaning of Exponential form. Exponential notation is an alternative method of expressing numbers. Exponential form is a way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats. Exponential numbers take the form $${\mathrm{x}}^{\mathrm{n}}$$, where x is multiplied by itself n times and value of n can be positive or negative. In exponential notation, x is termed the base while n is termed the power or exponent or index. For example $$5^2,{10}^6$$ … etc.
Such exponential form or scientific notation is mainly used whenever you express very large or very small numbers. For example $$0.0006$$ can be expressed as $$6\times {10}^{-4}$$ or 6000000 can be expressed as $$6\times {10}^6$$.