Question

How do you write \[8.5 \times {10^3}\] in standard notation?

Answer 1

Hint: To change a number from scientific notation to standard notation, move the decimal point to the left (if the exponent of ten is a negative number), or to the right(if the exponent of ten is a positive number. You should move the point as many times as the exponent indicates.

Complete Step by Step Solution:
The given number is \[8.5 \times {10^3}\] .we need to write the number in standard notation.
We know that, if we need to write one number in standard notation then we first need to consider the exponent of ten and if it is a negative number, we will move the decimal point to the left as many times as the exponent indicates and if it is a positive number, we will move the decimal point to the right as many times as the exponent indicates.
Here, the exponent of ten in the given number is \[3\] .
So, for expressing \[8.5 \times {10^3}\] in the standard notation we need to move the decimal point to the right \[3\] times (since it is positive in the given number).
i.e. \[8.5 \times {10^3} = 8500\]

Therefore we get, Standard notation of \[8.5 \times {10^3}\] is \[8500\] .

Additional information:
Scientific notation:
Scientific notation 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 scientific notation.
The rules when writing a number in scientific notation is that first you write down a number between \[1\] and \[10\] , then you multiply it by \[10\] to the power of a number.
Scientific notation = \[m \times {10^n}\] where, \[1 \leqslant m < 10\] .

Note: Scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.
Small numbers can also be written in scientific notation. However, instead of the index being positive, it will be negative.
Standard form:It is the normal way of writing numbers.