Solve the Expression: (3×5+5)÷(4+3×2) Using Order of Operations

Question

(3×5+5):(4+3×2)= (3\times5+5):(4+3\times2)=

Video Solution

Solution Steps

00:00 Solve the following expression
00:03 Always solve the parentheses first
00:08 Multiplication and division precede addition and subtraction
00:35 Continue calculating all the parentheses and only then divide
00:43 This is the 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 of these,

In the given expression, there is a division operation between two expressions in parentheses, therefore we will first simplify these expressions (because they are in parentheses), we will simplify the expressions simultaneously, while following the aforementioned order of operations, since multiplication comes before addition, we will first calculate the results of the multiplications in these expressions and then perform the addition:

(35+5):(4+32)=(15+5):(4+6)=20:10=2 (3\cdot5+5):(4+3\cdot2)= \\ (15+5):(4+6)=\\ 20:10=\\ 2

In the final step, we performed the remaining division operation (which was between the parentheses in the original expression).

Therefore, the correct answer is answer C.

Answer

2 2