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# How do you write $2.2\times {{10}^{6}}$ in standard notation?

Last updated date: 22nd Jun 2024
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Hint: To convert the given scientific notation to standard notation we should have to eliminate the term $\times {{10}^{n}}$ . For this first of all we have to consider the given equation as equation (1) and then by eliminating the term a $\times {{10}^{n}}$ we will get the given number in standard notation.

Complete step-by-step solution:
To write $2.2\times {{10}^{6}}$ the number into a standard notation, we have to assume the equation with S and consider the equation as equation (1).
$S=2.2\times {{10}^{6}}...................\left( 1 \right)$
As we know that given equation is in scientific notation which means it has a single digit to the left of the decimal sign and is multiplied with power of 10.
In other words we can write scientific formulas as $a\times {{10}^{n}}$. Where a is lies between 1 and 10 and n is an integer.
To write a number in standard notation we just need to multiply. This means moving decimal $n$ digits to right if multiplying by ${{10}^{n}}$ and moving decimal $n$ digits to right if multiplying by ${{10}^{n}}$.
In this case we have equation (1), we need to move decimal points to the right by 6 points.
For this, let us write $2.2$ as $2200000$ by moving decimal to the write as six points.
Let us consider the above number equation as equation (2).
$S=2200000..........\left( 2 \right)$
Therefore equation (2) i.e. $S=2200000$ is the solution for the solution for equation (1) i.e. $S=2.2\times {{10}^{6}}$.

Note: The most important thing while doing this problem is there should be no number in the right side of the decimal. If the power is negative like $2.2\times {{10}^{-6}}$ then we have to divide $2.2$ with ${{10}^{-6}}$. Because as we know ${{a}^{-n}}=\dfrac{1}{{{a}^{n}}}$. The key point of this type of problems is if we multiply a decimal with ${{10}^{n}}$ then the decimal will move n times to the right.