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Welcome to a comprehensive course in number systems tailored for 7th-grade learners. This course provides students with a thorough understanding of rational numbers and their operations. Students will learn to add, subtract, multiply, and divide rational numbers, both with and without the use of parentheses. Additionally, they will explore the relationship between rational numbers and decimals, mastering the conversion process between the two forms. Through engaging activities and real-life problem-solving scenarios, students will develop proficiency in applying these concepts to solve practical problems. The course aims to equip students with essential mathematical skills and strategies necessary for success in higher-level mathematics and everyday situations. The class flow is as follows:

C1: Addition of Rational Numbers
- Visualise rational numbers on a number line.
- Addition of rational numbers 
- Addition of rational numbers using properties of operators.

C2: Subtraction of Rational Numbers
- Explore subtraction of rational numbers
- Solve numerical and word problems for the subtraction of rational numbers

C3: Addition, Subtraction, and Distance Between Rational Numbers
- Solve addition and subtraction problems 
- Absolute value to find distance.
- Interpret the distance between rational numbers.

C4: Multiplication of Rational Numbers
- Multiplication of integers
- Multiplication of rational numbers

C5: Division of Rational Numbers
- Extend previous understandings of the multiplication and division of numbers to divide integers.
- Division of rational numbers

C6: Rational Numbers as Decimals
- Converting decimals to fraction
- Converting rational numbers to decimals

C7: Operations on Rational Numbers
- Solving Real-Life Problems involving Rational Numbers

C8: Exploring Rational numbers
- Questions and applications