Crystal Ball (Part 1) (Comparing the value of the product to one of its factors based on the other factor)

This lesson explores how to predict the product of numbers based on their factors. It begins with simple examples, such as multiplying 10 by 0, 1, and 2, to demonstrate how the product changes. The lesson highlights that multiplying by a number less than one results in a product less than 10, while multiplying by a number greater than one results in a product greater than 10. The concept is further explored using fractions, specifically 1/2, to show how the product is less than 10. The lesson concludes by generalizing these relationships to all positive numbers.

What is the result when you multiply any number by zero?

• The product is equal to the number.

• The product is zero.

• The product is greater than the number.

• The product is less than zero.

If you multiply a number by one, what will the product be?

• The product is zero.

• The product is greater than the number.

• The product is less than the number.

• The product is equal to the number.

What happens to the product when you multiply a number by a value greater than one?

• The product is less than the number.

• The product is equal to the number.

• The product is greater than the number.

• The product is zero.

When multiplying a number by a fraction between zero and one, what is the result?

• The product is less than the number.

• The product is equal to the number.

• The product is zero.

• The product is greater than the number.

How does the product change when multiplying by any positive number greater than one?

• The product is greater than the number.

• The product is equal to the number.

• The product is zero.

• The product is less than the number.