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

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

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Step-by-step video solution

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00:00 Solve the following expression
00:04 Always solve the parentheses first
00:07 Multiplication and division precede addition and subtraction
00:16 Solve one multiplication at a time
00:33 Continue to solve the expression according to the correct order of operations
00:46 This is the solution

Step-by-step written solution

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1

Understand the problem

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

2

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

3

Final Answer

4

Practice Quiz

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Solve the following equation:

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

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