Create a Venn diagram to sort the numbers 2, 3, 5, 10, 12, 15, 17, 20 using the categories "Even Numbers" and Can Be Divided by 5"

1 answer

While I can't create visual content directly, I can help you understand how to organize the numbers into a Venn diagram based on the categories "Even Numbers" and "Can Be Divided by 5." Here's how you can sort the numbers:

Categories:

  1. Even Numbers: These are numbers that can be divided by 2 without a remainder.
  2. Can Be Divided by 5: These are numbers that can be divided by 5 without a remainder.

Numbers to categorize:

  • 2
  • 3
  • 5
  • 10
  • 12
  • 15
  • 17
  • 20

Sorting the Numbers:

  1. Even Numbers:

    • 2
    • 10
    • 12
    • 20
  2. Can Be Divided by 5:

    • 5
    • 10
    • 15

Overlapping Area (Numbers that fit both categories):

  • 10 (even and also divisible by 5)

Final Distribution for the Venn Diagram:

  • Only Even Numbers: 2, 12, 20
  • Only Can Be Divided by 5: 5, 15
  • Both Even and Divisible by 5: 10
  • Outside Both Categories: 3, 17

Summary for Your Venn Diagram:

  • Left Circle (Even Numbers): 2, 12, 20
  • Right Circle (Divisible by 5): 5, 15
  • Intersection: 10
  • Outside Both Circles: 3, 17

You can now draw two overlapping circles and place the numbers accordingly!