Question

Question

What is the value of this expression?

5+6×(5−2)+9

Responses

77
77

62
62

42
42

32

Answer 1

To evaluate the expression \( 5 + 6 \times (5 - 2) + 9 \), we need to follow the order of operations (also known as PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

First, calculate the part inside the parentheses: \[ (5 - 2) = 3 \]

Now, substitute this back into the expression: \[ 5 + 6 \times 3 + 9 \]

Next, perform the multiplication: \[ 6 \times 3 = 18 \]

Now, the expression is reduced to: \[ 5 + 18 + 9 \]

Now, perform the addition from left to right: \[ 5 + 18 = 23 \] \[ 23 + 9 = 32 \]

Thus, the value of the expression is: \[ \boxed{32} \]