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 \[10 \times 10{\rm{\, or1}}{{\rm\,{0}}^2}\]
We can write number 1000 as \[10 \times 10 \times 10{\rm{ \,or\,1}}{{\rm{0}}^3}\]
We can write number 10000 as \[10 \times 10 \times 10 \times 10{\rm{\, or\,1}}{{\rm{0}}^4}\]
We can write number 100000 as \[10 \times 10 \times 10 \times 10 \times 10{\rm{ \, or\, 1}}{{\rm{0}}^5}\]
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 \[{{\rm{x}}^{\rm{n}}}\], 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 \[6 \times {10^6}\].