Solve 8-3²÷3: Order of Operations Practice Problem

832:3= 8-3^2:3=

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00:00 Solve the following problem
00:02 Calculate the exponent
00:05 Always solve multiplication and division before addition and subtraction
00:08 This is the solution

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1

Understand the problem

832:3= 8-3^2:3=

2

Step-by-step solution

Let's solve the expression step by step using the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The given expression is: 832:3= 8-3^2:3=

Step 1: Evaluate Exponents
The expression has an exponent, which we need to evaluate first. The exponent is 323^2.
Calculate 323^2 which equals 99.
Now the expression becomes: 89:3 8 - 9 : 3

Step 2: Division
Next, perform the division operation. Here we divide 99 by 33.
Calculate 9:39 : 3 which equals 33.
Now the expression becomes: 83 8 - 3

Step 3: Subtraction
Finally, perform the subtraction.
Calculate 838 - 3 which equals 55.

Therefore, the solution to the expression 832:38-3^2:3 is 55.

3

Final Answer

5 5

Practice Quiz

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What is the result of the following equation?

\( 36-4\div2 \)

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