Final answer:
It is true that multiplication and division are performed before addition and subtraction in mathematical expressions. This rule is part of the order of operations, which guides the sequence of computations in an equation. Remembering the correct application of these rules ensures accurate solutions to math problems.
Step-by-step explanation:
It is true that in a math expression, multiplication and division take place before addition and subtraction. This is a concept known as the order of operations, which dictates the sequence in which mathematical operations should be performed to ensure accurate results. When dealing with equations, it's important to remember that multiplication or division by the same number on both sides of an equation does not change the equality.
For example, if we have an equation 3(x + 2) = 9, we must first multiply 3 by each term inside the brackets (x and 2) before attempting to solve for x. Ensuring that multiplication or division applies to every term on either side of the equality is crucial, especially when an equation includes brackets.
- When two positive numbers multiply, the result has a positive sign.
- When two negative numbers multiply, the result also has a positive sign.
- When multiplying numbers with opposite signs, the result has a negative sign.
- Division follows similar rules concerning the signs of the numbers involved.