very large and very small are expressed in scientific notation . why
Answers
Answer:
In science, often we work with very large or very small numbers. For example, in geology,
the age of the Earth = 4,600,000,000 years old,
or, in chemistry,
one a.m.u. = 0.00000000000000000000000000166 kilograms.
It seems like a lot of work to keep track of all those zeros. Fortunately, we can easily keep track of zeros and compare the size of numbers with scientific notation.
Scientific notation allows us to reduce the number of zeros that we see while still keeping track of them for us. For example the age of the Earth (see above) can be written as 4.6 X 109 years. This means that this number has 9 places after the decimal place - filled with zeros unless a number comes after the decimal when writing scientific notation. So 4.6 X 109 years represents 4600000000 years.
Very small numbers use the same type of notation only the exponent on the 10 is usually a negative number. For example, 0.00000000000000000000000000166 kg (the weight of one atomic mass unit (a.m.u.)) would be written 1.66 x 10-27 using scientific notation. A negative number after the 10 means that we count places before the decimal point in the scientific notation. You can count how many numbers are between the decimal point in the first number and the second number and it should equal 27.
The nice thing about scientific notation is that it also tells us something about significant figures.
Explanation:
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