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A number with a small exponent is smaller than a number with a large exponent. If two numbers have the same exponent then compare the mantissae. The smaller mantissa represents the smaller number.

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9y ago

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Which of the expressions is scientific notation for 0.00004315?

4.315 x 10-5


Which of the expressions is scientific notation for the number 0.000001254?

1.254*10-6


What are the rules when expressing a long mathematical expression to scientific notation form?

Scientific notation is of little use for long mathematical expressions. It is used to express very large or very small numbers - not expressions.


What expressions is 0.00012 written in scientific notation?

1.2 X 10 -4 That one is.


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Placing a question mark at the end of a list of expressions or numbers does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.


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That gives a better overview. It's easier to compare two large numbers (or small numbers) written in scientific notation than if they are written out. When the numbers are written out, you have to count digits, which can be slow, error-prone, and basically useless. When the number is in scientific notation, the counting has basically already been done for you. To compare two numbers in normalized scientific notation, just compare the exponents.


What is the purpose about scientific notation?

The idea is to show very large numbers, or very small numbers (close to zero) in a concise notation. If you write down the mass of the Sun in kilograms, it is very cumbersome; also, you have to count the digits to compare with some other number (such as the mass of another star); with scientific notation, you can immediately compare two such numbers.


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