How can one write the scientific notation of a negative number?
Answer
630.3k+ views
Hint: Scientific notation of a number is the representation of numbers in such a way that very large numbers can be read easily without any discrepancy. Also in scientific notation the numbers are represented in the form $p \times {10^n}$where $p$should be between 1 and 10 i.e. \[1 \leqslant p \prec 10\]and $n$is an integer.
We can solve this question by using the above-stated definition of scientific notation.
Complete step by step answer:
Given
Any negative number has to be written in scientific notation.
So by the basic definition of scientific notation, the numbers are represented in the form $p \times {10^n}$
where \[1 \leqslant p \prec 10\]and $n$is an integer. (Positive numbers)
Also in the case of negative numbers, the same rules apply except after putting the number in scientific notation in addition they have a negative sign by the leading number.
i.e. it’s represented in the form $ - \left( {p \times {{10}^n}} \right)$where \[1 \leqslant p \prec 10\]and $n$is an integer.
Let’s take an example for more clarity:
Scientific Notation of$ - \left( {345.777} \right)$:
As mentioned above doing the following steps;
$
\Rightarrow - \left( {345.777} \right) = - \left( {3.45777 \times {{10}^2}} \right) \\
\Rightarrow - \left( {345.777} \right) = - 3.45777 \times {10^2} \\
$
So for negative numbers, scientific notation is written as described above and has in addition only a negative sign compared to the standard form.
Note:
To convert the general format negative numbers to scientific notation form certain rules have to be followed as given below:
1. The position of the decimal point should be such that there is only a single digit before it.
2. While moving the decimal points one should take care of the position which has been moved since it determines the power of 10.
3. Also the direction to which the decimal point has been moved is to be noted, if it has been moved to the left then the power is positive and if it’s moved to the right then the power is negative.
4. After performing all these steps put a negative sign by the leading number.
We can solve this question by using the above-stated definition of scientific notation.
Complete step by step answer:
Given
Any negative number has to be written in scientific notation.
So by the basic definition of scientific notation, the numbers are represented in the form $p \times {10^n}$
where \[1 \leqslant p \prec 10\]and $n$is an integer. (Positive numbers)
Also in the case of negative numbers, the same rules apply except after putting the number in scientific notation in addition they have a negative sign by the leading number.
i.e. it’s represented in the form $ - \left( {p \times {{10}^n}} \right)$where \[1 \leqslant p \prec 10\]and $n$is an integer.
Let’s take an example for more clarity:
Scientific Notation of$ - \left( {345.777} \right)$:
As mentioned above doing the following steps;
$
\Rightarrow - \left( {345.777} \right) = - \left( {3.45777 \times {{10}^2}} \right) \\
\Rightarrow - \left( {345.777} \right) = - 3.45777 \times {10^2} \\
$
So for negative numbers, scientific notation is written as described above and has in addition only a negative sign compared to the standard form.
Note:
To convert the general format negative numbers to scientific notation form certain rules have to be followed as given below:
1. The position of the decimal point should be such that there is only a single digit before it.
2. While moving the decimal points one should take care of the position which has been moved since it determines the power of 10.
3. Also the direction to which the decimal point has been moved is to be noted, if it has been moved to the left then the power is positive and if it’s moved to the right then the power is negative.
4. After performing all these steps put a negative sign by the leading number.
Recently Updated Pages
A Paragraph on Pollution in about 100-150 Words

What is BLO What is the full form of BLO class 8 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Which is the Lowest Point of Earth?

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Which is the hottest planet in the Solar system A Earth class 10 social science CBSE

