Operations - Pre-Algebra

When dividing a positive number and a negative number, our answer is negative. The quotient is .

When a plus and minus sign meet, the sign becomes negative. When adding two negative numbers, we treat as an addition problem and add a minus sign in the end. Answer is .

Just subtract normally. Answer is .

When two minus signs meet, the sign becomes positive. It becomes an addition problem. Answer is .

When two negative numbers are being divided, our answer is positive. The quotient is .

When dividing two negative numbers, the answer is positive. Then divide normally. Answer is .

This is the same as adding two negative numbers. We treat as an addition problem and add the minus sign in the end. Answer is .

The numbers are positive. Just add. The sum is .

(3+2)=5 is the first operation because parentheses is the first step in order of operations. 5 is then squared because exponents are the second operation. Finally 4 is added to 25, leaving the answer as 29.

A plus and minus sign becomes a minus sign. This is just a subtraction problem. Answer is .

The 3 is first distributed to (x-4) because multiplication comes before addition in order of operations. This leaves us with 3x-12+6. when the -12 and 6 are added we are left with 3x-6

The first step is adding 4+6 because parentheses are first in order of operations. Next that answer (10) is multiplied by 3, because multiplication comes before addition, giving us 30. Finally the 2 is added, leaving us with the answer 32.

The first step in order of operations is parentheses, so (4-1) is the first step to solve the equation.

It is important to be careful of where the negative sign is when simplifying.

When simplifying you should end up with:

which equals

Two minus signs become a plus sign. This is an addition problem. Answer is .

When a plus and minus sign meet, the operation becomes minus sign. We subtract normally. Answer is .

First, solve the equation:

Next, account for the absolute value:

Therefore, the answer is .

Step 1: solve the problem

Step 2: solve for absolute value

Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am $4 in debt, I have -$4, but the absolute value of my debt is $4, because that is the total number of dollars that I'm in debt.