What defines an even number?

An even number is any integer that is divisible by 2 without a remainder. Examples include -4, 0, 2, and 8.

What defines an odd number?

An odd number is any integer that cannot be evenly divided by 2, meaning it leaves a remainder of 1. Examples include -3, 1, 5, and 9.

What is the result of adding two even numbers? Is the result even or odd?

The sum of two even numbers is always even. For example, 2 + 4 = 6, which is even.

What is the result of adding an even number and an odd number? Is the result even or odd?

The sum of an even number and an odd number is always odd. For example, 2 + 3 = 5, which is odd.

Determine whether the product of two odd numbers is even or odd. Provide an example.

The product of two odd numbers is always odd. For example, 3 * 5 = 15, which is odd.

If x is an even number and y is an odd number, what is the result of x + y?

The result of x + y is always odd, as the sum of an even number and an odd number is odd.

What is the result of multiplying an even number by an odd number? Provide an example.

The product of an even number and an odd number is always even. For example, 2 * 3 = 6, which is even.

What is the sum of three odd numbers? Is it even or odd?

The sum of three odd numbers is odd. For example, 1 + 3 + 5 = 9, which is odd.

If n is an odd integer, what is n²? Is it even or odd?

The square of an odd integer is always odd. For example, if n = 3, then n² = 3² = 9, which is odd.

If a and b are both even integers, what can be said about their sum a + b?

The sum a + b is also even, as the addition of two even numbers is even.

If p is an even integer and q is an even integer, what is the result of p * q? Is it even or odd?

The product p * q is always even, as the multiplication of two even numbers is even.

If x and y are both odd integers, what is the result of x + y?

The sum x + y is always even, as the addition of two odd numbers is even.

What is the result of subtracting an odd number from an even number? Provide an example.

The result of subtracting an odd number from an even number is always odd. For example, 6 - 3 = 3, which is odd.

If k is an even number, what can be said about k³? Is it even or odd?

The cube of an even number is always even. For example, if k = 2, then k³ = 2³ = 8, which is even.

How do you determine if a sum of numbers is even or odd?

Count the number of odd integers in the sum: if the count is even, the sum is even; if odd, the sum is odd.