Complete multiplication and division equations with integers

Learning Objectives Identify and apply the rules for multiplying and dividing integers. Solve one-step multiplication equations involving integers. Solve one-step division equations involving integers. Use inverse operations to isolate a variable in multiplication and division equations. Check their solutions for accuracy in integer equations. Translate simple word problems into multiplication or division equations with integers and solve them. Ever wondered how to figure out how many items you need if you know the total cost and the cost per item, even when dealing with debts or temperature drops? 🌡️ Let's unlock the power of equations! In this lesson, you'll learn how to solve equations where integers are multiplied or divided. Understanding these operations is...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5.In the equation -4x = 20, both -4 and 20 are integers. EquationA mathematical statement that shows two expressions are equal, typically containing an equals sign (=).3x = -12 is an equation, stating that '3 times x' is equal to '-12'. VariableA symbol, usually a letter, that represents an unknown value in an equation.In the equation y / -5 = 10, 'y' is the variable. Inverse OperationsOperations that undo each other. Multiplication is the inverse of division, and division is the inverse of multiplication.To undo multiplication by 3, you divide by 3. To undo division by -2, you multiply by -2. ProductThe result of multiplyin...

Rules for Multiplying and Dividing Integers 1. (Positive) * (Positive) = Positive 2. (Negative) * (Negative) = Positive 3. (Positive) * (Negative) = Negative 4. (Negative) * (Positive) = Negative (The same rules apply for division) When multiplying or dividing two integers: if the signs are the same, the result is positive. If the signs are different, the result is negative. Solving Multiplication Equations If $ax = b$, then $x = b / a$ (where $a \neq 0$) To solve a multiplication equation, divide both sides of the equation by the coefficient (the number multiplied by the variable) to isolate the variable. Solving Division Equations If $x / a = b$, then $x = b * a$ To solve a division equation, multiply both sides of the equation by the divisor (the number the variab...