All PSAT Math Resources
Example Questions
Example Question #31 : Other Decimals
Round the answer to the nearest tenth.
0.57 - 2.657 = -2.087
Don't forget the negative sign!
This number then rounds to -2.1.
Example Question #2 : How To Subtract Decimals
Simplify:
Start by simplifying within the parentheses:
Then add/subtract each number
When you finish simplifying, the answer is 0.
Example Question #1 : How To Subtract Decimals
Find the difference.
Example Question #21 : Decimals
Convert 0.0004640 into scientific notation.
The value is already in scientific notation
When written in scientific notation, a number will follow the format in which is between one and ten and is an integer value.
To find , take the first non-zero digit in your given number as the ones place. In 0.0004640 this would be the first 4. All subsequent digits fall into the tenths, hundredths, etc. places.
To find , we must count the number of places that is removed. In 0.0004640, the first digit of is in the ten-thousandths place. This indicates that will be .
Together, the final scientific notation will be .
Example Question #1 : How To Convert Decimals To Scientific Notation
Express 770,000,000,000 in scientific notation.
Write the number with a decimal point and without commas:
Counting the number of places, move the decimal point to the left until it is after the first nonzero digit:
The resulting number is 7.7; the number of places the decimal point moved to the left was 11. In scientific notation, this number is .
Example Question #1 : How To Convert Decimals To Scientific Notation
Convert into scientific notation.
To convert a number into scientific notation, the decimal must be moved until our base number is greater than 1 and less than 10. Next, we must count the number of places we moved it and multiply it by 10 to that number. Thus, our answer is:
Example Question #511 : Arithmetic
12 grams of oxygen are equal to atoms. Which of the following comes closest to the mass, in grams, of one million atoms of oxygen?
In scientific notation, one million atoms is equal to atoms. To find the mass of this many atoms, we can solve the proportion statement
Example Question #4 : How To Convert Decimals To Scientific Notation
Define an operation as follows:
For all real numbers ,
Which of the following is equal to ?
Substitute and execute the operations:
Move the decimal point right five places to get it after the first nonzero digit; the scientific notation equivalent is
Example Question #6 : How To Convert Decimals To Scientific Notation
Define an operation as follows:
For all real numbers ,
Which of the following is equal to ?
Substitute and execute the operations:
Move the decimal point right two places to get it after the first nonzero digit; the scientific notation equivalent is
Example Question #1 : How To Convert Decimals To Scientific Notation
Define an operation as follows:
For all real numbers ,
Which of the following is equal to ?
Substitute and execute the operations:
Move the decimal point right four places to get it after the first nonzero digit; the scientific notation equivalent is
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