Comparing Products

Worksheet Description

This worksheet is centered around multiplying fractions with whole numbers and then comparing the resulting products using inequality symbols (> , < , or =). It features a series of problems, each with two parts: the first part requires the student to multiply a fraction by a whole number, and the second part presents a similar multiplication which the student must solve and then compare the two products. The comparison involves determining whether the product is greater than, less than, or equal to the other product. Blank boxes are provided for students to write the inequality symbol that correctly compares the two expressions.

The worksheet teaches students to perform two distinct mathematical operations: first, multiplying fractions by whole numbers, and second, comparing the sizes of the resulting fractions. This dual focus not only reinforces arithmetic skills but also introduces concepts of numerical order and comparison. By completing these exercises, students learn how to evaluate and order fractions, an essential skill for understanding number relationships and for future work in algebra. Additionally, this worksheet helps to build critical thinking as students must analyze and decide on the relationship between the two products rather than simply calculating a numerical answer.