Solve Expression 9-6÷(4×3)-1: Order of Operations Practice

Question

96:(4×3)1= 9-6:(4\times3)-1=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Always solve the parentheses first
00:09 Multiplication and division precede addition and subtraction
00:13 Division can always be represented as a fraction
00:17 Break down 12 into factors (6,2)
00:23 Reduce
00:29 Continue to solve the expression according to the proper order of operations
00:37 This is the solution

Step-by-Step Solution

We simplify this expression paying attention to the order of operations which states that exponentiation comes before multiplication and division, and before addition and subtraction, and that parentheses precede all of them.

Therefore, we start by performing the multiplication within parentheses, then we carry out the division operation, and we finish by performing the subtraction operation:

96:(43)1=96:121=90.51=7.5 9-6:(4\cdot3)-1= \\ 9-6:12-1= \\ 9-0.5-1= \\ 7.5

Therefore, the correct answer is option C.

Answer

7.5