Even or odd: arithmetic rules

key notes :

✅ Key Concepts

1. Even Numbers

• Numbers that end in 0, 2, 4, 6, or 8.
• Can be divided by 2 with no remainder.
  🧮 Examples: 4, 8, 22, 100

2. Odd Numbers

• Numbers that end in 1, 3, 5, 7, or 9.
• When divided by 2, they have a remainder of 1.
  🧮 Examples: 1, 5, 13, 77

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➕➖✖️ Arithmetic Rules for Even and Odd Numbers:

Operation	Rule	Example
Even + Even	= Even	6 + 8 = 14
Odd + Odd	= Even	5 + 3 = 8
Even + Odd	= Odd	4 + 5 = 9
Even – Even	= Even	10 – 6 = 4
Odd – Odd	= Even	7 – 3 = 4
Even – Odd	= Odd	8 – 3 = 5
Odd – Even	= Odd	9 – 4 = 5
Even × Even	= Even	2 × 4 = 8
Even × Odd	= Even	6 × 3 = 18
Odd × Odd	= Odd	5 × 7 = 35

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💡 Quick Tips

• Multiplying any number by an even number always gives an even result.
• Adding two numbers with the same parity (both even or both odd) gives an even number.
• Adding one even and one odd gives an odd number.

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📝 Practice Questions

1. Is 57 odd or even?
2. What is odd + even = ?
3. What will be the result of 9 × 5 – even or odd?
4. True or False: 6 + 4 = Odd
5. Fill in the blank: Odd × Odd = _____

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🎯 Learning Objective

Students will be able to identify even and odd numbers and apply rules to determine the parity of a result after addition, subtraction, and multiplication.

Learn with an example

Let’s practice!