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How do you write $ 3.6 \times {10^{ - 5}} $ in standard form?

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Last updated date: 13th Jun 2024
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Answer
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Hint: Think of the given power as being the positive. Write as many zeros, including one before the decimal and then write down the given number. In case of having positive power to ten, simply write zeros after the number. If number two is given to the power ten, then write two zeros after the number. An ordinary number is the expanded version of the standard form of the number.

Complete step by step solution:
The given number is itself the standard form.
But we can convert the given number as the ordinary number.
Step 1: Observe the given number and power of $ 10 $
Here given that the power to \[10\] is $ ( - 5) $
Step 2: Write as the division of $ 10 $ five times instead of multiplication.
\[3.6 \times {10^{ - 5}} = 3.6 \div 10 \div 10 \div 10 \div 10 \div 10\]
Step 3: Do the multiplication by $ 10 $ one at a time
\[
\Rightarrow 3.6 \times {10^{ - 5}} = 0.36 \div 10 \div 10 \div 10 \div 10 \\
\Rightarrow 3.6 \times {10^{ - 5}} = 0.036 \div 10 \div 10 \div 10 \\
\Rightarrow 3.6 \times {10^{ - 5}} = 0.0036 \div 10 \div 10 \\
\Rightarrow 3.6 \times {10^{ - 5}} = 0.00036 \div 10 \\
\Rightarrow 3.6 \times {10^{ - 5}} = 0.000036 \;
 \]
So, the correct answer is “0.000036”.

Note: Also, remember the difference between the ordinary number and ordinal number. Ordinal number is the number which tells the position of the object or something in the list. For Example first, second, third, etc. It simply tells us the rank or the position of something in the group.
Whereas, the ordinary numbers are the numbers which include whole numbers, rational, irrational numbers and real and imaginary numbers.