Divide integers: find the sign

Learning Objectives Identify positive and negative integers. State the rules for determining the sign of a quotient when dividing integers. Apply the sign rules to division problems involving two integers. Correctly find the sign of the quotient for any division of non-zero integers. Explain why dividing two negative integers results in a positive quotient. Solve simple real-world problems involving integer division and signs. Ever wonder how sharing a debt among friends or calculating an average temperature drop works with negative numbers? 📉 Let's uncover the secret to dividing integers! In this lesson, you'll learn the simple rules for figuring out whether the answer to an integer division problem will be positive or negative. Mastering these rules is crucial...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples: -3, 0, 5.The numbers -7, 0, and 12 are all integers. Positive IntegerAn integer greater than zero. It can be written with a '+' sign or no sign at all.5, +10, 100 are positive integers. Negative IntegerAn integer less than zero. It is always written with a '-' sign.-2, -15, -99 are negative integers. QuotientThe result obtained when one number is divided by another number.In the problem 10 ÷ 2 = 5, the quotient is 5. DividendThe number that is being divided in a division problem.In the problem 10 ÷ 2 = 5, the dividend is 10. DivisorThe number by which another number is divided.In the problem 10 ÷ 2 = 5, the divisor is 2. Sign (of a number)Indicates...

Rule 1: Dividing Integers with the Same Sign $$(+ \div +) = +$$ $$(-\div -) = +$$ When you divide two integers that have the same sign (both positive or both negative), the quotient will always be positive. Think of it as 'friends' (same signs) making a 'happy' (positive) result. Rule 2: Dividing Integers with Different Signs $$(+ \div -) = -$$ $$(-\div +) = -$$ When you divide two integers that have different signs (one positive and one negative), the quotient will always be negative. Think of it as 'enemies' (different signs) making an 'unhappy' (negative) result.