GRE Math : Negative Numbers

Study concepts, example questions & explanations for GRE Math

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Example Questions

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例子问题# 1:How To Subtract Negative Numbers

Quantity A:

Quantity B:

Possible Answers:

Quantity B is greater

The two quantities are equal

The relationship cannot be determined from the information given.

Quantity A is greater

Correct answer:

Quantity A is greater

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

The relationship between the quantities cannot be determined.

Quantity B is larger.

The two quantities are equal in size.

Quantity A is larger.

Correct answer:

Quantity B is larger.

Explanation:

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(7+x+3x^{4})-(x^{4}+x-2)

Possible Answers:

4x^{4}+2x+5

2x^{4}+5

2x^{4}+2x+9

2x^{4}+9

2x^{4}+2x+5

Correct answer:

2x^{4}+9

Explanation:

The answer is2x^{4}+9

Make sure to distribute negatives throughout the second half of the equation.

(7+x+3x^{4})-(x^{4}+x-2)

(3x^{4}+x+7)+(-x^{4}-x+2)

2x^{4}+9

例子问题# 1:Negative Numbers

Solve for:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

45

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

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