How do you write 135 trillion in scientific notation?
Answer
601.8k+ views
Hint: Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended to infinity, but we can't write such large numbers on paper. Furthermore, the numbers that appear after the decimal in the millions place needed to be represented in a simpler format. As a result, representing a few numbers in their expanded form. Hence, we use scientific notations.
Complete answer:
The scientific notation allows us to represent very large or very small numbers by multiplying a single-digit number by 10 raised to the power of the respective exponent. If the number is very large, the exponent is positive; otherwise, it is negative.
The following is a general representation of scientific notation:
$ \mathbf{a}\text{ }\times \text{ }\mathbf{1}{{\mathbf{0}}^{\mathbf{b}}}~;\text{ }\mathbf{1}\text{ }\le \text{ }\mathbf{a}\text{ }<\text{ }\mathbf{10} $
For example, $ 100000000 $ can be written in scientific notation as $ {{10}^{8}} $ . In this case, the exponent is positive. Similarly, $ 0.0000001 $ is a very small number that can be represented as $ {{10}^{-8}} $ with a negative exponent.
As we have 135 trillion means $ 135000000000000 $ $ $
Thus, scientific notation of 135 trillion is given as, $ 1.35\times {{10}^{14}} $
Note:
If the number is greater than 10, we move the decimal point to the left until it is between 1 and 10. Then we count the number of times the decimal was moved and write it as an exponent over a base of ten. Finally, we multiply our number by the power of ten. Chemists, physicists, astronomers, and biologists (and other related disciplines) frequently use scientific notation.
Complete answer:
The scientific notation allows us to represent very large or very small numbers by multiplying a single-digit number by 10 raised to the power of the respective exponent. If the number is very large, the exponent is positive; otherwise, it is negative.
The following is a general representation of scientific notation:
$ \mathbf{a}\text{ }\times \text{ }\mathbf{1}{{\mathbf{0}}^{\mathbf{b}}}~;\text{ }\mathbf{1}\text{ }\le \text{ }\mathbf{a}\text{ }<\text{ }\mathbf{10} $
For example, $ 100000000 $ can be written in scientific notation as $ {{10}^{8}} $ . In this case, the exponent is positive. Similarly, $ 0.0000001 $ is a very small number that can be represented as $ {{10}^{-8}} $ with a negative exponent.
As we have 135 trillion means $ 135000000000000 $ $ $
Thus, scientific notation of 135 trillion is given as, $ 1.35\times {{10}^{14}} $
Note:
If the number is greater than 10, we move the decimal point to the left until it is between 1 and 10. Then we count the number of times the decimal was moved and write it as an exponent over a base of ten. Finally, we multiply our number by the power of ten. Chemists, physicists, astronomers, and biologists (and other related disciplines) frequently use scientific notation.
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