Question

Evaluate each expression. $$ 2-5 \cdot 4-[6 \cdot(3-4)] $$

Short answer

-12

Step-by-step solution

Simplify the innermost parentheses

Start by simplifying the innermost parentheses. Look for the expression inside the brackets: \ \[ 3 - 4 = -1 \]

Multiply within the brackets

Next, multiply the result from Step 1 by 6: \ \[ 6 \times (-1) = -6 \]

Simplify the expression within the brackets

Now, handle the expression inside the brackets: \ \[ -[ -6] = 6 \]

Simplify the multiplication

Next, multiply 5 and 4: \ \[ 5 \times 4 = 20 \]

Combine all simplified parts

Now substitute back into the original expression and combine all parts: \ \[ 2 - 20 + 6 \] Finally, perform the arithmetic operations from left to right: \ \[ 2 - 20 = -18 \] \ \ \[ -18 + 6 = -12 \]

Key concepts

Arithmetic Operations

When solving mathematical problems, it’s essential to know the order of arithmetic operations. These operations include addition, subtraction, multiplication, and division.

To correctly solve an expression involving multiple operations, follow the