Even And Odd Number Properties

Learning even and odd number properties is important to develop number sense in students to promote their problem-solving ablities for performing various mathematical operations on these numbers. These properties give these numbers a different identitfy from the rest of the number-set. On this page, we have explained these properties in detail along with solved examples and sample problems.

Table of Contents

• Properties of Addition
• Properties of Subtraction
• Properties of Multiplication
• Solved Examples on Even and Odd Number Properties
• Practice Questions on Even and Odd Number Properties

Properties of Addition

• An even number added to an even number gives an even number.
• The odd number added to the odd number gives an odd number.
• Adding an even number to an odd number gives an odd number.

Properties of Subtraction

• Subtraction of even numbers results in an even number.
• Subtraction of odd numbers results in an even number.
• Subtraction of even from odd numbers results in an odd number.
• Subtraction of odd numbers from even results in an odd number.

Properties of Multiplication

• Multiplication of even numbers results in an even number.
• Multiplication of odd numbers results in an odd number.
• Multiplication of an even number with an odd number gives an even number.

Solved Examples on Even and Odd Number Properties

Example 1: Determine if the sum of 24 and 6 is odd or even.

Solution: Let’s check if the given numbers are odd or even:

• 24 is an even number and 6 is an even number.
• As, per the properties of even numbers: An even number added to an even number gives an even number.

Therefore, 24 + 6 = 30 and 30 is an even number.

Example 2: Verify if 21 - 7 is odd or even.

Solution: Let’s check if the given numbers are even or odd: 21 is an odd number and 7 is also an odd number As per the subtractive property of odd numbers, the subtraction between odd numbers is an even number.

Therefore, 21 – 7 = 14 and 14 is an even number.

Example 3: Evaluate if the 18 x 2 is odd or even.

Solution: Let’s check if the given numbers are even or odd: 18 is an even number and 2 is also an even number As per the multiplication property of even numbers, the multiplication of two even numbers gives an even number.

Therefore, 18 x 2 = 36 and 36 is an even number.

Example 4: Find if the 15 – 2 is odd or even.

Solution: Let’s check if the given numbers are even or odd: 15 is an odd number and 2 is also an even number As per the subtractive property of odd numbers, the subtraction of even numbers from an odd number gives an odd number.

Therefore, 15 – 2 = 13 and 13 is an even number.

Example 5: Without calculating state whether the product of 243 and 22 is odd or even.

Solution: Let’s check the given numbers: 243 is an odd number.

• 22 is an even number.
• As per the multiplication properties of even and odd numbers,
• Odd number X Even number = Even number.

Therefore, the result of 243 X 22 is an even number.

Practice Questions on Even and Odd Number Properties

1. Meera has 10 balloons. She bought 5 more. Is the total number of balloons Meera has odd or even numbers?
2. Is the sum of 27 and 15 an odd number or even.
3. Without calculation, determine if 89 multiplied by 8 results in an odd or even number.
4. Seema added two numbers together and got the result as an even number. Can you tell if numbers are even or odd?
5. Is the result of the given calculation odd or even: (24 – 7) + (30 – 6)?