Search
Ask a question
0

if 5-3(-4-6)^2= -295 how did it equal to -295?

i need help solving it bc im not sure what im doing wrong n why i keep getting the wrong number

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Tom Q. | The Test Prep Expert - Ready to Help You Achieve Higher Scores!The Test Prep Expert - Ready to Help You...
4.9 4.9 (559 lesson ratings) (559)
2

This question is all about order of operations.

The mnemonic device to help you remember order of operations is PEMDAS.  This stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.  You must perform the operations according to this order to get the correct answer.  Some math books teach students to remember these six letters by remembering the phrase "Please Excuse My Dear Aunt Sally".

We start with 5-3(-4-6)^2.  Parentheses have the highest precedence, so we do what's in the parentheses first (-4-6).  This gives us -10:

5-3(-10)^2.  Next we have to take care of the exponent.  Raising -10 to the 2 power gives 100:

5-3(100).  Next we perform the multiplication, 3 * 100 = 300:

5-300.  Finally we do the subtraction, 5 minus 300 gives us -295.

Joshua D. | Applying Science to real lifeApplying Science to real life
5.0 5.0 (5 lesson ratings) (5)
1

use the the order of operations PEMDAS or use the mnemonic Please Excuse My Dear Aunt Sally= Parenthesis, Exponent, Multiply, Divide, Add, Subtract: 

so first you would do (-4-6) = -10

then -10^2 = 100

next -3 x 100 = -300

last 5 + -300 = -295