All GRE Math Resources
Example Questions
Example Question #11 : Decimals
Solve for :
To solve for , subtract from both sides of the equation. , therefore, .
If you have trouble subtracting the decimals, you can multiply both of them by to get whole numbers, then subtract as normal, then divide your result by .
Example Question #12 : Decimals
Make sure to follow the order of operations. Begin by combining all terms inside the parentheses:
Convert the fraction to a decimal and once again complete the operations inside the parentheses:
The answer is .
Example Question #1 : Decimal Operations
find 0.7^{2}
0.0049
0.49
4.9
0.049
49
0.49
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
Example Question #14 : Decimals
There are 3,500 people in group A and 5,000 people in group B:
Car Type |
% in Group A Who Own |
% in Group B Who Own |
Motorbike |
4 |
9 |
Sedan |
35 |
25 |
Minivan |
22 |
15 |
Van |
9 |
12 |
Coupe |
3 |
6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
30 more
50 fewer
20 fewer
30 fewer
15 more
20 fewer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
Example Question #361 : Arithmetic
Given that , which best describes the relationship between , , and ?
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)^{2} will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
Example Question #5 : How To Multiply Decimals
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
Example Question #16 : Decimals
Solve for :
To solve, first divide both sides of the equation by , leaving you with:
Then simply divide the decimals, which will yield your answer:
.
If you have trouble dividing the decimals, you can multiply both of the numbers by one followed by a number of zeroes equal to the number of digits beyond the decimal point (one hundred, in this case), then divide, then divide your result by the same number (one hundred again).
Example Question #17 : Decimals
Solve for (round to the nearest hundredth if necessary)
To solve, first divide both sides of the equation by :
To do this division, you can divide as normal, or if you are having trouble, you can multiply both numbers by 10 to eliminate the decimal:
Example Question #18 : Decimals
Solve for :
To solve, first divide both sides of the equation by so you isolate the variable:
Then, divide the decimal--if you have trouble doing so, remember that you can multiply both numbers by to eliminate the decimal, and then divide as normal:
Example Question #19 : Decimals
Solve for :
To solve, first divide both sides of the equation by so you can isolate the variable:
Now divide. If you have trouble dividing decimals, you may multiply both dividend and divisor by to eliminate the decimal and divide normally: