Final answer:
The expression 6+(-8)×4 results in -26, by performing multiplication before addition and applying the rules for adding numbers with opposite signs.
Step-by-step explanation:
To solve the expression 6+(-8)×4, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). There are no parentheses or exponents to deal with here, so we start with multiplication and division before doing addition and subtraction.
Looking at the multiplication part:
When two numbers with opposite signs are multiplied, the result has a negative sign. So, (-8) multiplied by 4 is -32. Following the rule number 7.
The expression now becomes 6 + (-32).
Now, we handle the addition part:
When a positive and a negative number are added, subtract the smaller number from the larger number and keep the sign of the larger number. So, 6 + (-32) equals -26. According to rule number 3 and 4.
Therefore, the final answer to the expression 6+(-8)×4 is -26.