Divide integers

Learning Objectives Define key terms related to integer division, such as dividend, divisor, and quotient. Determine the sign of the quotient when dividing two integers with the same sign. Determine the sign of the quotient when dividing two integers with different signs. Divide any integer by a non-zero integer. Explain why division by zero is undefined. Solve real-world problems involving the division of integers. Ever wonder how sharing debts or splitting temperature drops works? 📉 Let's find out how to divide with positive and negative numbers! In this lesson, you'll learn the rules for dividing integers, which are whole numbers and their opposites. Understanding integer division is crucial for solving problems involving money, temperature, and other real-wor...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5.The numbers -10, -1, 0, 7, and 25 are all integers. DividendThe number that is being divided in a division problem.In the problem 12 ÷ 3, the dividend is 12. DivisorThe number by which another number (the dividend) is divided.In the problem 12 ÷ 3, the divisor is 3. QuotientThe result or answer obtained from a division problem.In the problem 12 ÷ 3 = 4, the quotient is 4. Positive IntegerAn integer that is greater than zero.Numbers like 1, 5, 100 are positive integers. Negative IntegerAn integer that is less than zero.Numbers like -1, -5, -100 are negative integers. Absolute ValueThe distance of a number from zero on a number line, always expressed as...

Rule 1: Dividing Integers with the Same Sign `(+a) \div (+b) = +(a \div b)` `(-a) \div (-b) = +(a \div b)` When you divide two integers that have the same sign (both positive or both negative), the quotient will always be positive. First, divide their absolute values, then make the answer positive. Rule 2: Dividing Integers with Different Signs `(+a) \div (-b) = -(a \div b)` `(-a) \div (+b) = -(a \div b)` When you divide two integers that have different signs (one positive and one negative), the quotient will always be negative. First, divide their absolute values, then make the answer negative. Rule 3: Division by Zero `a \div 0 = \text{Undefined}` You can never divide any number by zero. The result is undefined because there's no number that, when multiplied b...