Question

How do you write \[2.8 \times {10^9}\] in standard form?

Answer 1

Hint: In this question we have to form the given number in its standard notation, for this first write down the number and then move the decimal equal to the exponent given, here it is 9, we will move the decimal 9 places to the right, then multiplying the numbers we will get the required notation.

Complete step by step solution:
In scientific notation, we write a number so that it has a single digit to the left of the decimal sign as in the given question and is multiplied by an integer power of 10.
The general form to write in scientific notation is, \[N \times {10^m}\],
Where N is the number between 1 and 10, but not 10 itself, and m is any integer.
Given number is in scientific notation which is \[2.8 \times {10^9}\],
First write down the number, i.e.,
\[ \Rightarrow 2.8\],
Now move the decimal to the number of places we are asked for. Positive exponents move the decimal to the right and if it is negative we have to move to the left, in the question the exponent given is 9, so move the decimal 9 places to the right, we get,
\[ \Rightarrow 2.8 \times {10^9} = 2.8 \times 1000000000\],
Now multiplying we get,
\[ \Rightarrow 2.8 \times {10^9} = 2,800,000,00\],
So, the standard notation of the given number is \[2,800,000,00\].

Final Answer:
\[\therefore \] The standard notation of the given number \[2.8 \times {10^9}\] will be equal to \[2,800,000,00\].

Note:
To write the number in normal or standard notation one just needs to multiply by the power \[{10^n}\] if \[n\] is negative then we have to divide, This means moving decimal \[n\] digits to right if multiplying by \[{10^n}\] and moving decimal \[n\] digits to left if dividing by \[{10^n}\] which means multiplying by \[{10^{ - n}}\].