Multiply and divide integers

Learning Objectives Recall and apply the rules for multiplying integers with like and unlike signs. Recall and apply the rules for dividing integers with like and unlike signs. Evaluate complex expressions involving a sequence of integer multiplications and divisions. Simplify algebraic expressions involving integer coefficients through multiplication and division. Solve real-world problems that require multiplying or dividing integers. Identify that division by zero is undefined and explain why. Connect integer multiplication to transformations, such as reflecting a point across an axis by multiplying a coordinate by -1. A deep-sea explorer's submarine descends 100 feet per minute. How would you represent its depth after 5 minutes? 🌊 This tutorial is a crucial refr...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero...., -3, -2, -1, 0, 1, 2, 3, ... ProductThe result obtained after multiplying two or more numbers.The product of (-7) and 3 is -21. QuotientThe result obtained after dividing one number by another.The quotient of (-30) ÷ (-6) is 5. Sign RulesThe set of rules that determine whether the result of a multiplication or division operation is positive or negative.A negative number divided by a negative number results in a positive number. CoefficientA number used to multiply a variable. In Grade 9, you'll frequently multiply and divide these integer coefficients.In the term -8x, the coefficient is -8. UndefinedA value in mathematics that has no meaning or cannot be determined. Div...

Multiplication Sign Rules (+) \times (+) = (+) (-) \times (-) = (+) (+) \times (-) = (-) (-) \times (+) = (-) Use these rules to determine the sign of a product. If the signs of the two integers are the SAME, the product is POSITIVE. If the signs are DIFFERENT, the product is NEGATIVE. Division Sign Rules (+) \div (+) = (+) (-) \div (-) = (+) (+) \div (-) = (-) (-) \div (+) = (-) Use these rules to determine the sign of a quotient. The rules are identical to multiplication: if the signs are the SAME, the quotient is POSITIVE. If the signs are DIFFERENT, the quotient is NEGATIVE. Division by Zero For any integer a \neq 0, a \div 0 is undefined. It is impossible to divide a number by zero. This operation has no defined result in the number system. However, 0 divided by...