Answer:
- -16
- -5
- -22
- -45
- -4
- 5
- -14
- 6
- -19
- -44
Explanation:
This is an example for all orders of operations
1. We need to know P.E.M.D.A.S.
- (P)lease
- (E)xcuse
- (M)y
- (D)ear
- (A)unt
- (S)ally
2. PEMDAS is the acronym for the order in which you solve things:
- (P)lease = Parentheses Ex: (x+y)
- (E)xcuse = Exponet Ex:
- (M)y = Multiplication Ex: A×B
- (D)ear = Divide Ex: A÷B
- (A)unt = Addition Ex: A+B
- (S)ally = Subtract Ex: A-B
3. Now that we know how the order of operations works let to a problem:
Ex: 7×8+(7×2+3)-(5+7)
1. First, we are gonna solve what is inside the parentheses.
2. We will do the first one : (7×2+3)
3. We are gonna use the order of operations to know what we solve first.
- It looks like multiplication is first
- so we do 7×2 and that =14
4. So now our parentheses should look like this:
5. Now the whole problem should look like this :
6. Now we solve (14+3). That =17. Our whole problem should be like this
7. Now that we have solved the first parentheses we have to solve the second one: (5+7). that is 12. here is what it looks like in the whole problem:
8. Now that we have solved the parentheses we can solve the next one. That is exponents. We don't have any exponents so we can go to the next and that is multiplication.
- 7×8
- That is 56
- the whole problem is now 56+(17)-(12)
9. Now we have solved the multiplication we need to do the division. There isn't any so we can go to addition now.
- 56+17
- that is 73
- the whole problem is now 73-12
10. Now we do the subtraction
11. The answer is now solved
NOTE if you have something like this: 3(-3) it means 3×-3