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How do you write $0.0259\times {{10}^{8}}$ in standard notation?

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Last updated date: 26th Feb 2024
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IVSAT 2024
Answer
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Hint: Scientific notation is a method to write some numbers in a specific and convenient form. We convert a number given scientific notation into the standard notation by simply multiplying the factor 10 raised to some integer, present in the scientific notation.

Complete step by step solution:
Let us first understand what is meant by scientific notation.Scientific notation is a method to write some numbers in a specific and convenient form. This method is mostly used for the numbers (may be decimal numbers) that are very small or very big. This makes our job easier as the many digit numbers are shortened to a very less digit number. Let us now see how it is done.

The scientific notation of any number is given as $N\times {{10}^{m}}$, where N is any real number between 1 to 10 or -10 to -1 and m is an integer (it can take any value of integer).Writing the given scientific notation of a number without multiply of 10 is called as standard notation.

We can write a number given in scientific notation in standard notation by simply the expression present on the scientific notation. The number given in the question is $0.0259\times {{10}^{8}}$. When we multiply ${{10}^{8}}$ to 0.0259 we get 2590000.

Therefore, the standard notation of $0.0259\times {{10}^{8}}$ is 2590000.

Note:When we multiply a decimal number by a factor ${{10}^{p}}$ (where p is an integer), we move the decimal point by p places.If the value of p is positive, then we move the decimal point by p places towards right. If the value of p is negative, then we move the decimal point by p places towards the left.