1. Write each decimal as a fraction or mixed number in simplest form.
Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. 1. 2. 3.
Write each decimal as a fraction or mixed number in simplest form.
6. What is 2.65 as a fraction in simplest form?
Course 2, Lesson 4-2

2. ANSWERS
1. 2.6 3. 4. 5. 6.
Course 2, Lesson 4-2

3. WHAT happens when you add, subtract, multiply, and divide fractions?
The Number System
WHAT happens when you add,
subtract, multiply, and divide fractions?
Course 2, Lesson 4-2

4. The Number System
7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
Course 2, Lesson Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5. Mathematical Practices
The Number System
7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Course 2, Lesson Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

6. To compare rational numbers To order rational numbers
The Number System
To compare rational numbers
To order rational numbers
Course 2, Lesson 4-2

7. rational number common denominator least common denominator
The Number System
rational number
common denominator
least common denominator
Course 2, Lesson 4-2

8. How did what you learned today help you answer the
The Number System
How did what you learned
today help you answer the
WHAT happens when you add,
subtract, multiply, and divide fractions?
Course 2, Lesson 4-2

9. Example #1
Course 2, Lesson 4-2

10. Another Example
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11. Got it?
Course 2, Lesson 4-2

12. Example #2
Course 2, Lesson 4-2

13. Another Example:
Course 2, Lesson 4-2

14. Got it?
Course 2, Lesson 4-2

15. Example #3
Course 2, Lesson 4-2

16. Another Example:
Course 2, Lesson 4-2

17. Got it?
Course 2, Lesson 4-2

18. Example #4
Course 2, Lesson 4-2

19. Another Example:
Course 2, Lesson 4-2

20. Got it?
Course 2, Lesson 4-2

21. Example #5
Course 2, Lesson 4-2

22. Another Example:
Course 2, Lesson 4-2

23. How did what you learned today help you answer the
The Number System
How did what you learned
today help you answer the
WHAT happens when you add,
subtract, multiply, and divide fractions?
Sample answers:
In this lesson I learned to graph rational numbers on a number line, find common denominators when comparing fractions, and use place value when ordering rational numbers.
Course 2, Lesson 4-2

24. Explain how you would compare each pair of fractions. and
The Number System
Ratios and Proportional Relationships
Explain how you would compare each pair of fractions.
and
Course 2, Lesson 4-2