Question

12. THINK SMARTER Helene selected an odd number to multiply by the factors in this table. Write even or odd to describe each product. X odd number 1 2 3 4 5 Virginia SOL Suc​

Answer 1

When multiplying an odd number by each of the factors in the table, products with even factors are even, and products with odd factors are odd.

Step-by-step explanation:

When Helene selected an odd number to multiply by the factors in the table, the products can be described based on the rules of multiplication for each factor:

• Odd number x 1 = Odd (Any number multiplied by 1 retains its parity, so an odd number remains odd.)
• Odd number x 2 = Even (Multiplying an odd number by 2 or any other even number always results in an even product.)
• Odd number x 3 = Odd (The product of two odd numbers is always odd.)
• Odd number x 4 = Even (As with 2, any odd number multiplied by an even number, such as 4, is even.)
• Odd number x 5 = Odd (Multiplying any odd number by 5, which is itself odd, will result in an odd product.)

To recap, the pattern emerging here is that multiplying an odd number with an even number will always yield an even product, whereas multiplying an odd number with another odd number will yield an odd product.