Solve (3·5+5)÷(4+3·2): Order of Operations Practice

Question

(35+5):(4+32)= (3\cdot5+5):(4+3\cdot2)=

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:07 Always solve multiplication and division before addition and subtraction
00:10 Calculate the parentheses and only then divide
00:19 And this is the solution to the question

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 of them,

In the given expression, there is a division operation between two expressions in parentheses, so we'll start by simplifying each of the expressions in parentheses in parallel. Since multiplication comes before addition and subtraction, we'll first perform the multiplications in the expressions and then calculate the results of the addition and subtraction operations in the expressions:

(35+5):(4+32)=(15+5):(4+6)=20:10 (3\cdot5+5):(4+3\cdot2)= \\ (15+5):(4+6)= \\ 20:10 \\ Let's complete the simplification of the expression and perform the division operation:

20:10=2 20:10= \\ 2 Therefore, the correct answer is answer B.

Answer

2