what is meant of scientific notation ?how we can write in scientific notation ?explain with example
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Scientific notation is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits. An example of scientific notation is when you write 4 x 10³ for 4,000.
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Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9(the exponential term).
Here are some examples of scientific notation.
As you can see, the exponent of 10 is the number of places the decimal point must be shifted to give the number in long form. A positive exponent shows that the decimal point is shifted that number of places to the right. A negative exponent shows that the decimal point is shifted that number of places to the left.
In scientific notation, the digit term indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,
46600000 = 4.66 x 107This number only has 3 significant figures. The zeros are not significant; they are only holding a place. As another example,0.00053 = 5.3 x 10-4This number has 2 significant figures. The zeros are only place holders.
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