Integer multiplication and division rules

Learning Objectives Identify the sign of a product or quotient of two integers. Multiply two integers with the same sign. Multiply two integers with different signs. Divide two integers with the same sign. Divide two integers with different signs. Solve multi-step problems involving integer multiplication and division. Apply integer multiplication and division rules to real-world scenarios. Ever wonder how temperatures change when they drop by the same amount multiple times? 🥶 Or how to share a debt equally among friends? 💸 In this lesson, you'll discover the simple yet powerful rules for multiplying and dividing integers, which are whole numbers and their opposites. Mastering these rules is crucial for solving more complex problems in algebra and understanding rea...

TermDefinitionExample IntegerA whole number (positive, negative, or zero). Examples: -3, 0, 5.The numbers -10, -1, 0, 5, and 100 are all integers. ProductThe result obtained when two or more numbers are multiplied.The product of 4 and -3 is -12. QuotientThe result obtained when one number is divided by another.The quotient of -15 and 3 is -5. Positive IntegerAn integer greater than zero.7, 25, 1 are positive integers. Negative IntegerAn integer less than zero.-2, -10, -100 are negative integers. Absolute ValueThe distance of a number from zero on the number line, always expressed as a positive value. Represented by vertical bars, e.g., |-5| = 5.The absolute value of -8 is 8, written as |-8| = 8. The absolute value of 8 is also 8, written as |8| = 8.

Multiplying/Dividing Integers with the Same Sign $$(+) \times (+) = (+)$$ $$(+) \div (+) = (+)$$ $$(--) \times (--) = (+)$$ $$(--) \div (--) = (+)$$ When you multiply or divide two integers that have the same sign (both positive or both negative), the result will always be a positive integer. Multiplying/Dividing Integers with Different Signs $$(+) \times (--) = (--)$$ $$(+) \div (--) = (--)$$ $$(--) \times (+) = (--)$$ $$(--) \div (+) = (--) $$ When you multiply or divide two integers that have different signs (one positive and one negative), the result will always be a negative integer.