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Scientific notation is a way of representing numbers, usually very large or very small, in the form
a*10^b where 1<= |a| < 10 is a decimal number and b is an integer (negative or positive).
a is called the mantissa and b is called the exponent.
To convert a number to scientific notation:
- If the number has no decimal point, then add one at the end.
- Then move the decimal point to just after the first digit while counting the number of places you have moved it.
- The new number, formed after moving the decimal point is a.
- If the original number is negative, then so is a.
- The number of places to the left that the decimal point was moved is b. If it was moved to the right, thenb is negative.
For example:
23045.06 becomes 2.304506*10^4
-23045.06 becomes -2.304506*10^4
0.00023004 becomes 2.3004*10^(-4)
To convert a number in scientific notation to normal form:
- If b is positive, move the decimal point b places to the right in the number a - adding 0s at the end of the number, if required.
- If b is negative, move the decimal point b places to the left in the number a - adding 0s immediately after the decimal point, if required.
- The final expression has the same sign (+ or -) as a in the scientific form.
For example:
4.56*10^5 = 456000.
-4.56*10^5 = -456000.
4.56*10^(-5) = 0.0000456
I have avoided using the term "Standard form" because, ironically, it is a non-standard term. In the UK Standard and Scientific forms are the same whereas in the US, the Standard form is what I have chosen to call the normal form.
Wiki User
∙ 9y ago
Wiki User
∙ 6y agoTo convert a number to scientific notation:
• If the number has no decimal point, then add one at the end.
• Then move the decimal point to just after the first digit while counting the number of places you have moved it.
• The mantissa of the new number, formed after moving the decimal point is a.
• If the original number is negative, then so is a.
• The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.
For example:
23045.06 becomes 2.304506*104
-23045.06 becomes -2.304506*104
0.00023004 becomes 2.3004*10-4
Wiki User
∙ 10y agoThe answer will depend on what is wrong with them.
Wiki User
∙ 9y agoIt is 1.23456789*10^9.
Anonymous
4600000000
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What is the advantage of using scientific notation to express numbers that are very small and very large?
Less digits are needed but they still have the same numerical values.
What jobs are scientific notation used for?
Scientific notation is a way to express numbers that are either very small or very large. In traditional notation the first kind would have a lot of 0s between the decimal point and the first significant digit whereas the second kind would have a large number of trailing 0s. The need for scientific notation arose from advances in various branches of science: atomic particles in physics or chemistry, astronomical or cosmological distances, size of single cell animals. Nowadays, even non-scientific values such as population, national debts (of some countries) could usefully utilize scientific notation.
How do scientists use scientific notation?
Scientists use scientific notation to compute very large or very small numbers.
Is exponential notation the same as scientific notation?
No. 35 is exponential notation, (3 is the base of the exponent 5), but in scientific notation the base must be 10 and the exponent must be an integer. 100.1 is exponential notation but not sci. notation.
How do pharmaceuticals use scientific notation?
Pharmaceuticals use scientific notation to compute very large or very small numbers.
What are the advantages of using scientific notation to express very large and very small numbers?
Scientific notation lets us express a large or a small number without having to write a lot of zeros before or after it. Try writing out 3 x 10^9000 without scientific notation.
Can rare earth metals be used in scientific notation?
Scientific notation is often used to represent very large and very small numbers. Actually, you can also express a "normal-sized" number in scientific notation. So, whenever there is a number, you may use scientific notation.
How do you express the result in large numbers?
Expressing the result of a very large number or even a very small number is what we call scientific notation.
How do scientists write very large numbers?
they express the numbers using scientific notation
How do you demonstrate mathematical skills in the use of scientific notation and significant digits?
Scientists have developed a shorter method to express very large numbers. This method is called scientific notation. Scientific Notation is based on powers of the base number 10.The number 123,000,000,000 in scientific notation is written as :
How the use of scientific notation?
Scientific notation is used to express very large or very small numbers. instead of writing 15,000,000, you can express the same number by writing it as 1.5 * 107 or, you could express the very small number .00000015 as 1.5 * 10-7 to express a number in scientific notation, simply place a decimal point after the first number (in a large number) or before the last number (in a very small number) and multiply by ten to the nth power, where n is the number of digits following the decimal point (in a large number) or negate the number of digits before the decimal (in a very small number).
Why are measurements expressed in scientific notation?
Scientific notation is a convenient method to express very large or very small numbers.
A type of notation used to express very large or very small numbers?
scientific notation
Importance of scientific notation?
Scientific notation provides a compact and clear way to express very large and very small numbers.
What is a type of notation used to express very large or very small numbers called?
scientific notation
When is it appropriate to use scientific notation instead of standard form?
It is appropriate to use scientific notation when dealing with very large or very small numbers, particularly when the numbers have many zeroes. Scientific notation is a more compact and efficient way to express these numbers, making calculations and comparisons easier. Additionally, scientific notation is commonly used in scientific fields to express measurements and mathematical equations.
Scientific notation is a way to express very large or small numbers in terms of powers of what?
Ten. More generally, the base of the number system.
