Questions: 42-64 ÷ 4(-2)

Transcript text: $42-64 \div 4(-2)$

Solution

Solution Steps

To solve the expression $42 - 64 \div 4(-2)$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, we handle the division, then the multiplication, and finally the subtraction.

Step 1: Evaluate the Division

First, we evaluate the division in the expression $64 \div 4$: \[ 64 \div 4 = 16 \]

Step 2: Evaluate the Multiplication

Next, we multiply the result of the division by $-2$: \[ 16 \times (-2) = -32 \]

Step 3: Perform the Subtraction

Finally, we subtract this result from $42$: \[ 42 - (-32) = 42 + 32 = 74 \]