Master Division of Integers with Easy Examples: Step-by-Step Guide for Students

Division of Integers: Step-by-Step Examples

Division of integers can be tricky, but with the right approach, it becomes easy! In this blog, we will explain how to divide integers using simple rules and examples. Follow along, and don’t forget to watch the embedded video for a more visual explanation.

Example 1: Dividing -96 by 16

1. Write the problem in fraction format:
   -96 ÷ 16 = -96/16
2. Apply the sign rules:
   Since 16 has no negative sign, it is positive.
   So, -96 ÷ 16 is the same as -96/16.
3. By sign rules, a negative divided by a positive results in a negative. Therefore, the answer will have a negative sign.
4. Prime factorize 96 and 16:
   -96 = -2 x 2 x 2 x 2 x 2 x 3
   16 = 2 x 2 x 2 x 2
5. Cancel the common factors:
   You are left with -2 x 3.
6. Final answer:
   -96 ÷ 16 = -6

Example 2: Dividing 78 by 65

1. Write the problem in fraction format:
   78 ÷ 65 = 78/65
2. Both 78 and 65 have positive signs, so the result will be positive.
3. Prime factorize 78 and 65:
   78 = 2 x 3 x 13
   65 = 5 x 13
4. Cancel the common factor (13):
   You are left with 2 x 3 / 5 = 6/5.
5. Final answer:
   78 ÷ 65 = 6/5

Conclusion

Make sure to watch the video embedded below to see these steps in action. Don’t forget to subscribe to our YouTube Channel for more academic and non-academic learning content. Also, sign up for our email newsletter for the latest updates!

With practice, dividing integers becomes second nature. Prime factorization helps simplify problems. Be sure to watch the video for more clarity, and subscribe to our YouTube channel for additional learning resources!

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