Multiply and divide integers

Learning Objectives Recall the definition and properties of integers. Apply the rules for multiplying two integers with the same sign. Apply the rules for multiplying two integers with different signs. Apply the rules for dividing two integers with the same sign. Apply the rules for dividing two integers with different signs. Solve multi-step problems involving multiplication and division of integers. Interpret real-world scenarios by performing multiplication and division of integers. Ever wonder how a submarine's depth changes over several hours 🌊 or how to calculate your average score if you lost points in a game? 📉 In this lesson, you'll learn the essential rules for multiplying and dividing integers, which are whole numbers and their opposites. Mastering...

TermDefinitionExample IntegerA whole number (not a fraction) that can be positive, negative, or zero.-3, 0, 5, -100 Positive IntegerAn integer greater than zero.1, 7, 100 Negative IntegerAn integer less than zero.-1, -12, -50 ProductThe result of multiplying two or more numbers.The product of 4 and -3 is -12. QuotientThe result of dividing one number by another.The quotient of -15 and 3 is -5. Absolute ValueThe distance of a number from zero on the number line, always a non-negative value.The absolute value of -7 is 7, written as |-7| = 7. Multiplicative Inverse (Reciprocal)For a non-zero number 'a', its multiplicative inverse is 1/a, such that a * (1/a) = 1.The multiplicative inverse of -4 is -1/4.

Multiplication/Division of Integers with Same Signs When multiplying or dividing two integers with the same sign (both positive or both negative), the result is always positive. Use this rule when both numbers involved in the operation are positive or both numbers are negative. The sign of the answer will be positive. Multiplication/Division of Integers with Different Signs When multiplying or dividing two integers with different signs (one positive and one negative), the result is always negative. Use this rule when one number is positive and the other is negative. The sign of the answer will be negative. Multiplication/Division by Zero Any integer multiplied by zero is zero. Zero divided by any non-zero integer is zero. Division by zero is undefined. This rule appl...