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

Question

17(3542+23)= 17-(3\cdot5-4\cdot2+2\cdot3)=

Video Solution

Solution Steps

00:00 Solve
00:04 Always solve parentheses first
00:07 Always solve multiplication and division before addition and subtraction
00:16 Solve one multiplication at a time
00:33 Continue solving according to correct order of operations
00:46 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,

Therefore, let's start by simplifying the expression inside the parentheses, remembering that multiplication comes before addition and subtraction and thus we will first perform the multiplications in this expression, then perform the subtraction operations, and finally complete the calculation by performing the subtraction operation on the expression in parentheses:

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