Question

Write the following numbers in the standard form:
855970

Answer 1

Hint – In this question use the concept that if we take the decimal point just before the rightmost digit of the given number such that the total places through which the decimal points move is expressed in the power of 10, then only the number is expressed in its standard form, use this to find the standard form of 855970.

Complete step-by-step solution -
Given number = 855970.
Standard form is a way of writing down very large or very small numbers easily. $10^3 = 1000$ , so 4 × $10^3$ = 4000. So 4000 can be written as 4 × 103. This idea can be used to write even larger numbers down easily in standard form.
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number).
So as we see that the given number has five places after the digit 8.
$ \Rightarrow 855970 = 8.55970 \times {10^5}$.
$ \Rightarrow 8.5597 \times {10^5}$
So this is the required standard form of 855970.
So this is the required answer.

Note – When we come across numbers of very high magnitude than for the sake of simplicity we express it in its standard form. It is a method of writing down large numbers very easily. The procedure explained above is the predetermined approach and problems of this kind are solved by this method only.