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What is the significance of the exponent to which 10 is raised when using scientific notation?
Wiki User
∙ 11y ago
The exponent indicates how many spaces to move the decimal point to the right (+) or to the left (-) when expanded.
Wiki User
∙ 11y ago
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How do you write 6000 in scientific notation?
When Writing 6000 in scientific notation, we must first count the decimal places from the right side of the number going to the left then multiplied by 10 raised to the number of decimal places. So to write 6000 in scientific notation: Answer:6.0x103 Because since there are 3 decimal places going to the right multiplied by 10 and raised to the number of decimal places.Likewise if 0.00006 is expressed in sci.(scientific) notation we write it as: Answer:6x10-4 Rule: If the decimal point goes to the left, the exponent is positive but if it goes to the left,the exponent is negative
Is scientific notation exponential notation?
Yes, scientific notation is a form of exponential notation. In scientific notation, numbers are expressed as a product of a coefficient and a power of 10. The power of 10 represents the exponent in exponential notation.
Some of the numbers in scientific notation have a negative exponent and some have a positive exponent. Explain the difference between these tow types of numbers.?
The mantissa is multiplied by 10 raised to the power as shown by the exponent. So, if the exponent is 4, then you multiply the mantissa by 10^4 = 10,000. If the exponent is -4 then you multiply the mantissa by 10^(-4) = 0.0001 or, equivalently, divide by 10^4.
Why do we use scientific notation and what are the parts of an expression written in scientific notation?
Scientific notation is used to express very large or very small numbers in a more concise and manageable format. It allows us to easily represent numbers using a base number multiplied by a power of ten. The parts of an expression in scientific notation include the coefficient (the base number), the base (always 10), and the exponent (the power to which the base is raised).
What is the scientific notation of Pluto?
Scientific notation is used to show numbers raised to powers of ten. Pluto is a planet. Therefore, Pluto cannot be put into scientific notation because there are no numbers in Pluto to put to a power of ten...
What is the scientific notation for 190.50?
1.9050 x 10 (raised to the power of)2 the 2 is an exponent but unfortunately I don't know how to type this as one
How do you write 6000 in scientific notation?
When Writing 6000 in scientific notation, we must first count the decimal places from the right side of the number going to the left then multiplied by 10 raised to the number of decimal places. So to write 6000 in scientific notation: Answer:6.0x103 Because since there are 3 decimal places going to the right multiplied by 10 and raised to the number of decimal places.Likewise if 0.00006 is expressed in sci.(scientific) notation we write it as: Answer:6x10-4 Rule: If the decimal point goes to the left, the exponent is positive but if it goes to the left,the exponent is negative
What is the scientific notation for 9261.38?
The scientific notation for 9261.38 is 9.26138x10 raised to the power of 5.
Is scientific notation exponential notation?
Yes, scientific notation is a form of exponential notation. In scientific notation, numbers are expressed as a product of a coefficient and a power of 10. The power of 10 represents the exponent in exponential notation.
A small number raised number used in exponential notation to tell how many times the base is used as a factor?
The small raised number is called the exponent.
Some of the numbers in scientific notation have a negative exponent and some have a positive exponent. Explain the difference between these tow types of numbers.?
The mantissa is multiplied by 10 raised to the power as shown by the exponent. So, if the exponent is 4, then you multiply the mantissa by 10^4 = 10,000. If the exponent is -4 then you multiply the mantissa by 10^(-4) = 0.0001 or, equivalently, divide by 10^4.
What is a word that means the expressing of numbers as a multiple of two factors a number between 1 and 10 and ten raised to a powe or exponent?
That's scientific notation. I realize that's two words.
Why do we use scientific notation and what are the parts of an expression written in scientific notation?
Scientific notation is used to express very large or very small numbers in a more concise and manageable format. It allows us to easily represent numbers using a base number multiplied by a power of ten. The parts of an expression in scientific notation include the coefficient (the base number), the base (always 10), and the exponent (the power to which the base is raised).
Is 1.28x10 in scientific notation?
No. There has to an exponent on the 10, anywhere from 0 to infinity. A correct example of scientific notation would be 6.022 x 1023, which is Avogadro's number, or 3.0 x 108m/s, which is the speed of light in a vacuum. The correct format for scientific notation is one nonzero digit in front of the decimal point times ten raised to some power.
What are the rules in changing scientific notation to standard notation and standard notation to scientific notation?
To convert a number to scientific notation, move the decimal point right or left to make the number greater than or equal to one but less than ten, and record the number of positions moved as a power of 10 - the exponent. That is, if the decimal point moves to the left by n positions, then the exponent is 10n. If the decimal point moved to the right by npositions, the exponent is 10-n (note the minus symbol).For instance, the number 123,456,000,000 is larger than 10, so we move the decimal point 11 positions to the left to get 1.23456, which is greater than or equal to one, but less than ten. Since we moved the decimal point to the left by 11 positions, the exponent is 1011 (ten raised to the eleventh power, which is 100,000,000,000) so the scientific notation for 123,456,000,000 becomes 1.23456x1011.If the original number were 0.000000123456, we need to move the decimal point to the right by seven positions to get 1.23456 (greater than or equal to one but less than ten). The exponent is therefore 10-7, thus the scientific notation for 0.000000123456 is 1.23456x10-7.To convert from scientific notation to standard notation, we simply reverse the process. If the exponent is a positive power of 10, we multiply by the exponent. Thus 1.23456x1011 is 1.23456 x 100,000,000,000 which is 123,456,000,00. If the exponent is a negative power of 10, we divide by the exponent. Thus 1.23456x10-7 is 1.23456 / 10,000,000 which is 0.000000123456.Note that scientific notation is only useful when you are not interested in the least significant portion of a number. For instance, a value such as 123,456,789,123,456,789,123,456,789 is better notated in full if you want the highest degree of accuracy. Scientific notation is generally only used to make the notation of an extremely large (or extremely small) number more concise. So 123,456,789,123,456,789,123,456,789 might be reduced to a more concise form such as 1.23456789x1026. This then equates to 123,456,790,000,000,000,000,000,000 in standard notation, which is clearly not the same value we started out with. In other words, the degree of accuracy is determined by the number of decimal places you retain in the scientific notation.
Can you have more than one exponent on top of a number?
Yes, you can, but it starts getting complicated. You can, for example have a number raised to an exponent that is itself a number raised to an exponent, or you can have a number raised to an exponent and the result raised to another exponent.
What is the complete format for writing a number in scientific notation?
V.d E P or V.d * 10PWhere V.d is an integer followed by a decimalP is the exponent to which 10 is raised to get the correct power of tenExample:139700 = 1.397 E5 = 1.397 * 105
