Math with Mr. J: Dividing Integers

In this lecture, Mr. J covers how to divide integers, including both negative and positive numbers, through four examples. Key concepts and rules are highlighted to ensure understanding.

Key Concepts

• Signs and Quotients:
  • Same Signs: Positive divided by positive or negative divided by negative results in a positive quotient.
  • Different Signs: Positive divided by negative or negative divided by positive results in a negative quotient.

Examples

Example 1: 21 ÷ (-3)

• Calculated as: 21 ÷ 3 = 7
• Signs: Positive ÷ Negative
• Conclusion: Different signs → Negative quotient
• Final Answer: -7

Example 2: (-10) ÷ (-2)

• Calculated as: 10 ÷ 2 = 5
• Signs: Negative ÷ Negative
• Conclusion: Same signs → Positive quotient
• Final Answer: 5

Example 3: (-16) ÷ 8

• Calculated as: 16 ÷ 8 = 2
• Signs: Negative ÷ Positive
• Conclusion: Different signs → Negative quotient
• Final Answer: -2

Example 4: (-25) ÷ (-5)

• Calculated as: 25 ÷ 5 = 5
• Signs: Negative ÷ Negative
• Conclusion: Same signs → Positive quotient
• Final Answer: 5

Conclusion

• Dividing integers involves determining the signs of the numbers to predict the sign of the quotient.
• Knowing the rules for sign combinations aids in solving integer division problems accurately.

These examples should help in understanding how to approach and solve integer division problems, ensuring clarity when dealing with both negative and positive integers.