All GRE Math Resources
Example Questions
例子问题# 1:How To Subtract Negative Numbers
Quantity A:
Quantity B:
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given.
Quantity A is greater
Quantity A is greater
Since both quantities have an, you can ignore this variable, which will give youandfor quantities A and B, respectively. Sinceandare both negative numbers,must be bigger than, which means that no matter what numbers they are, Quantity A must be bigger.
例子问题# 1:Negative Numbers
Ifandare integers such thatand, what is the smallest possible value of?
To makeas small as possible, letbe as small as possible, and subtract the largest value ofpossible:
Example Question #3 :How To Subtract Negative Numbers
Quantity A:
Quantity B:
Which of the following is true?
The relationship between the quantities cannot be determined.
Quantity B is larger.
The two quantities are equal in size.
Quantity A is larger.
Quantity B is larger.
A problem like this one is very easy. All you need to do is manage your arithmetic well. Remember that when you subtract a negative number, this is the same as adding the positive of that number. Therefore, you can rewrite each of your quantities:
Quantity A:
Using a calculator, this comes out to be:
Quantity B:
Using a calculator, this comes out to be:
Therefore, quantity B is larger.
Example Question #61 :Integers
Simplify
The answer is
Make sure to distribute negatives throughout the second half of the equation.
例子问题# 1:Negative Numbers
Solve for:
To solve this problem, you need to get your variable isolated on one side of the equation:
Taking this step will elminate theon the side with:
现在除以to solve for:
这里的重要一步是能够添加negative numbers. When you add negative numbers, they create lower negative numbers (if you prefer to think about it another way, you can think of adding negative numbers as subtracting one of the negative numbers from the other).
Example Question #2 :Negative Numbers
Solve for:
To solve this problem, first you must add双方的问题。这将产生一个再保险sult on the right side of the equation of,因为negative number added to a negative number will create a lower number (i.e. further away from zero, and still negative). Then you divide both sides by two, and you are left with.
例子问题# 1:How To Divide Negative Numbers
Find the value of.
To solve for, divide each side of the equation by -2.
is the same as
which is POSITIVE
例子问题# 1:How To Divide Negative Numbers
What is?
45
A negative number divided by a negative number always results in a positive number.divided byequals. Since the answer is positive, the answer cannot beor any other negative number.
Example Question #5 :Negative Numbers
Solve for:
Begin by isolating your variable.
Subtractfrom both sides:
, or
Next, subtractfrom both sides:
, or
Then, divide both sides by:
Recall that division of a negative by a negative gives you a positive, therefore:
or
Example Question #3 :Negative Numbers
Solve for:
To solve this equation, you need to isolate the variable on one side. We can accomplish this by dividing byon both sides:
只要你把,如果是相同的(即迹象. two positive, or two negative), you'll get a positive result. If the signs are opposites (i.e. one positive, one negative) then you get a negative.
Both of the numbers here are negative, so we will have a positive result: