### All GRE Math Resources

## Example Questions

### Example Question #211 : Arithmetic

Evaluate:

3 + 2(1 * 9 + 8) – 9/3

**Possible Answers:**

36

37/3

82

76/3

34

**Correct answer:**

34

Order of operations

Do everything inside the parenthesis first:

3 + 2(17) – 9/3

next, do multiplication/division

3 + 34 – 3

= 34

### Example Question #11 : Operations

3 + 4 * 5 / 10 – 2 =

**Possible Answers:**

5

3

1.5

5.5

7

**Correct answer:**

3

Here we must use order of operations. First we multiply 4 * 5 = 20. Then 20 / 10 = 2. Now we can do the addition and substraction. 3 + 2 – 2 = 3. If you started at the beginning on the left hand side and not used order of operations, you would mistakenly choose 1.5 as the correct answer.

### Example Question #151 : Integers

**Possible Answers:**

**Correct answer:**

Order of operations can be remembered by PEMDAS (Please Excuse My Dear Aunt Sally): **P**arentheses **E**xponents **M**ultiplication **D**ivision **A**ddition **S**ubtraction.

[7(5 + 2) – (5 * 8)]^{2} =^{ }

1: Inner parentheses = [ 7(7) – 40 ]^{2}

2: Outer brackets = [ 49 – 40 ]^{2} = 9^{2}

3: Exponents = 81

### Example Question #4 : How To Find Order Of Operations

**Possible Answers:**

**Correct answer:**

This looks daunting as one long equation, but let's look at each piece and then add them all together.

2^{–}^{3} = 1/2^{3} = 1/8

25^{0} = 1

(–218)^{1} = –218

625^{1/4} = 5

(–27)^{1/3} = –3

Then, 2^{–}^{3} + 25^{0} + (–218)^{1} + 7/8 – 625^{1/4} + (–27)^{1/3} = 1/8 + 1 – 218 + 7/8 – 5 – 3 = –224.