# Chapter 2: Using Decimals

## Introduction

In Math 7, the learning content is divided into Concepts. Each Concept is complete and whole providing focused learning on an indicated objective. Theme-based Concepts provide students with experiences that integrate the content of each Concept. Students are given opportunities to practice the skills of each Concept through real-world situations, examples, guided practice and independent practice sections. There are also video links provided to give students an audio/visual way of connecting with the content. In this Chapter, students will engage with Concepts on comparing and ordering decimals, decimal operations, rounding decimals, commutative and associative properties of addition and multiplication, the inverse property, scientific notation, metric system of measurement, converting and comparing metric units of measurement, and equivalence between customary and metric units of measurement.

## Chapter Outline

- 2.1. Decimal Comparisons without Rounding
- 2.2. Decimal Rounding Given Place Value
- 2.3. Decimal Comparisons with Rounding
- 2.4. Decimal Addition
- 2.5. Decimal Addition Using Front-End Estimation
- 2.6. Commutative Property of Addition with Decimals
- 2.7. Decimal Subtraction
- 2.8. Decimal Subtraction Using Front-End Estimation
- 2.9. Inverse Property of Addition in Decimal Equations
- 2.10. Decimal Multiplication
- 2.11. Estimation to Check Decimal Multiplication
- 2.12. Commutative Property of Multiplication with Decimals
- 2.13. Decimal Division
- 2.14. Estimation to Check Decimal Division
- 2.15. Division to Solve Decimal Equations
- 2.16. Scientific Notation
- 2.17. Comparison of Numbers in Scientific Notation
- 2.18. Operations with Numbers in Scientific Notation
- 2.19. Metric System
- 2.20. Appropriate Tools for Metric Measurement
- 2.21. Conversions of Length, Mass, Capacity in Metric Units
- 2.22. Comparison of Metric Measurements
- 2.23. Estimation of Conversion to Metric Units

### Chapter Summary

## Summary

Having completed this chapter, students are now ready to move on to the next Chapter. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including comparing and ordering decimals, decimal operations, rounding decimals, commutative and associative properties of addition and multiplication, the inverse property, scientific notation, metric system of measurement, converting and comparing metric units of measurement, and equivalence between customary and metric units of measurement.