1/2 {9+5[-3]}

1/2(9+2)

1/2(11)=?

There is an implicit multiplication after the 5, so:

1/2 {9+5[-3]}
=(1/2)*(9+5*(-3))
=(1/2)*(9-15)
=(1/2)*(-6)
= ?

To simplify the expression 1/2 {9+5[-3]}, we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Step 1: Evaluate the expression within the parentheses first. In this case, 9+5[-3] simplifies to 9+5*(-3). Multiplying -3 by 5 gives us -15. So, the expression becomes 9+(-15).

Step 2: Perform addition. Adding 9 and -15 gives us -6.

Step 3: Multiply the result by 1/2. Multiplying -6 by 1/2 yields -6 * 1/2 = -3.

Therefore, 1/2 {9+5[-3]} simplifies to -3.