All High School Chemistry Resources
Example Questions
Example Question #11 : Scientific Notation And Significant Figures
What is written in scientific notation?
Numbers in scientific notation must be written with the first number .
How ever many decimal places that you have to move your number to the right the exponent is positive. If you have to move the decimal point to the left to get your number the exponent is negative.
The number is . You would first write this number as , move the decimal point 6 places to the right to obtain your number thus the exponent is
Example Question #81 : Grade 8
How is 13,200 written in scientific notation?
None of these
Any time we write a number in scientific notation, we want to keep the same number of significant figures, but have the decimal end up where it was in the original number. For the number 13,200, we have 3 significant figures: 1,3, & 2. So right now what we have is 132; our next step is to insert a decimal somewhere on 132 that would turn it into a number between 1-10. We are left with 1.32 To get to 1.32, we have to move the nonexhistent decimal from the end of 13200 four places to the left. Anytime we move decimals to the left, the exponent in scientific notation gets larger.
Example Question #12 : Perform Operations With Numbers Expressed In Scientific Notation: Ccss.Math.Content.8.Ee.A.4
Convert the given value to scientific notation.
Scientific notation is used to simplify exceptionally complex numbers and to quickly present the number of significant figures in a given value. The value is converted to an exponent form using base ten, such that only a single-digit term with any given number of decimal places is used to represent the significant figures of the given value. Non-significant zeroes can be omitted from the leading term, and represented only in the base ten exponent.
The given number has only one significant figure (), so there will only be one digit multiplied by the base ten term.
There are two non-significant zeroes, so our ten will be raised to the power of two.
Our final answer is
Example Question #82 : Grade 8
Convert the given value to scientific notation.
Scientific notation is used to simplify exceptionally complex numbers and to quickly present the number of significant figures in a given value. The value is converted to an exponent form using base ten, such that only a single-digit term with any given number of decimal places is used to represent the significant figures of the given value. Non-significant zeroes can be omitted from the leading term, and represented only in the base ten exponent.
The given number has only one significant figure (), so there will only be one digit multiplied by the base ten term.
To generate the single-digit leading term the decimal must be placed after the 4. Then count the digits to the left of the decimal (moving from right to left, these are and ). Our ten will be raised to the power of negative two because there are two digits to the left of the final decimal placement.
Our final answer is .