Solve 17-(3×5-4×2+2×3): Order of Operations Challenge

Question

17(3×54×2+2×3)= 17-(3\times5-4\times2+2\times3)=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Always solve the parentheses first
00:07 Multiplication and division precede addition and subtraction
00:10 Solve one multiplication at a time
00:18 Continue to solve the expression according to the correct order of operations
00:36 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 them,

therefore we'll start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction, we'll first perform the multiplications in this expression and then the addition and subtraction operations in the expression, in the next step we'll perform the subtraction operation that applies to the expression in parentheses and finish simplifying the expression:

17(3542+23)=17(158+6)=1713=4 17-(3\cdot5-4\cdot2+2\cdot3)= \\ 17-(15-8+6)= \\ 17-13=\\ 4 Therefore the correct answer is answer C.

Answer

4 4