Examples with solutions for Parentheses in advanced Order of Operations: Only addition and subtraction

Exercise #1

Solve the following equation:

18(3+3)= 18-(3+3)=

Video Solution

Step-by-Step Solution

Let's begin by simplifying the expression following the order of operations.

P- PARENTHESES

E-EXPONENTS

D-DIVISION

A-ADDITION

S-SUBTRACTION

18(3+3)=186=12 18-(3+3)= \\ 18-6= \\ 12

Therefore the correct answer is answer D.

Answer

12

Exercise #2

Solve the following equation:

25(8+5)= 25 - (8 + 5) =

Step-by-Step Solution

First, solve the expression inside the parentheses:
8+5=138 + 5 = 13

Then subtract from 25:
2513=1225 - 13 = 12

Answer

12

Exercise #3

Solve the following equation:

30(10+7)= 30 - (10 + 7) =

Step-by-Step Solution

First, solve the expression inside the parentheses:
10+7=1710 + 7 = 17

Then subtract from 30:
3017=1330 - 17 = 13

Answer

13

Exercise #4

(7+2+3)(7+6)(1234)=? (7+2+3)(7+6)(12-3-4)=\text{?}

Video Solution

Step-by-Step Solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all else.

Therefore we'll start by simplifying the expressions in parentheses first:
(7+2+3)(7+6)(1234)=12135 (7+2+3)(7+6)(12-3-4)=\\ 12\cdot13\cdot5

Now we'll calculate the multiplication result step by step from left to right:

12135=1565=780 12\cdot13\cdot5 =\\ 156\cdot5 =\\ 780

Note that since the commutative property of multiplication applies to the expression we simplified above between all terms, the order of operations in this calculation doesn't matter (it's not necessary to perform the left multiplication first etc. as we did). However it is recommended to practice performing operations from left to right since this is the natural order of arithmetic operations (in the absence of parentheses, or other preceding arithmetic operations according to the order of operations mentioned at the beginning of this solution).

Therefore the correct answer is answer C.

Answer

780