Evaluate the following expression:
[9 × (10 − 2)] ÷ [2 + (5 × 2)]
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
(9*8) + 12 = 72 + 12 = ?
[9 × (10 − 2)] ÷ [2 + (5 × 2)]=6
To evaluate the expression [9 × (10 − 2)] ÷ [2 + (5 × 2)], we'll follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, let's perform the calculations inside the parentheses.
(10 − 2) = 8
(5 × 2) = 10
Now we can substitute these values back into the original expression:
[9 × 8] ÷ [2 + 10]
Next, we'll perform the addition inside the brackets:
2 + 10 = 12
Now, the expression becomes:
[9 × 8] ÷ 12
Then, we'll perform the multiplication:
9 × 8 = 72
Finally, we'll perform the division:
72 ÷ 12 = 6
Therefore, the value of the expression [9 × (10 − 2)] ÷ [2 + (5 × 2)] is 6.
To evaluate the given expression [9 × (10 − 2)] ÷ [2 + (5 × 2)], we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify inside the parentheses:
Inside the first set of parentheses (10 - 2), we get 8.
Inside the second set of parentheses (5 × 2), we get 10.
So the expression becomes: [9 × 8] ÷ [2 + 10].
Step 2: Perform the multiplication:
9 × 8 = 72.
The expression becomes: 72 ÷ [2 + 10].
Step 3: Perform the addition:
2 + 10 = 12.
The expression becomes: 72 ÷ 12.
Step 4: Perform the division:
72 ÷ 12 = 6.
Therefore, the value of the given expression is 6.