Comparing Products

Worksheet Description

This worksheet is designed for students to practice comparing mixed numbers with an additional layer of complexity: each mixed number must be multiplied by a whole number before making the comparison. Students are presented with pairs of mixed numbers, each accompanied by a multiplication factor, and they must first calculate the product of the mixed number and the whole number, and then compare the results using the appropriate symbol: greater than (>), less than (<), or equal to (=). The worksheet includes a variety of such problems to ensure a thorough practice session, with a space provided at the top for students to write their names.

The worksheet aims to reinforce students’ understanding of mixed numbers, multiplication, and comparison all in one exercise. It challenges them to apply their multiplication skills to mixed numbers, which requires converting mixed numbers to improper fractions or whole numbers where necessary, performing the multiplication, and then comparing the outcomes. This practice helps students to integrate different mathematical operations and enhance their number sense. Furthermore, it provides an opportunity for students to develop procedural fluency while deepening their conceptual understanding of fractions, multiplication, and the relationships between numbers.