Question

Write the following in standard form \[15240000000\].

Answer 1

Hint: Standard form is a way of writing down very large or very small numbers easily.
\[{10^3} = 1000\], so \[4 \times {10^3} = 4000\] . So 4000 can be written as \[4 \times {10^3}\] . This idea can be used to write even larger numbers down easily in standard form.
The rules when writing a number in standard form is that first you write down a number between \[1\] and \[10\], then you multiply it by \[10\] to the power of a number.
Standard form =\[N \times {10^n}\] where, \[1 \leqslant N < 10\]

Complete step-by-step answer:
The given number is \[15240000000\]. We need to write the number in standard form.
We know that, if we need to write one number in standard form then we first need to write a number between \[1\] to \[10\] then multiply it by \[10\] to the power of a number.
So, for expressing \[15240000000\] in the standard form we first need to write a number between \[1\] to \[10\] then multiply it by \[10\] to the power of a number.
That is, we can express \[15240000000\] as \[1.524\] multiplied by \[10\] to the power\[10\].
i.e.\[15240000000 = 1.524 \times {10^{10}}\]

Standard form of \[15240000000\] is \[1.524 \times {10^{10}}\].

Note: 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 multiply it by \[10\] to the power of a number.