3.4 Rational Numbers — Fractions & Percentages | Contemporary Mathematics
After this lesson you will be able to…
- Understand why numbers in real-world contexts can be confusing and lack absolute clarity.
- Learn the definition of rational numbers and distinguish them from irrational numbers.
- Understand how to identify equivalent fractions using visual and algebraic methods.
- Learn why a common denominator is essential for adding and subtracting fractions.
- Understand that multiplying fractions involves scaling and does not require a common denominator.
- Demystify the 'flip and multiply' rule for dividing fractions by understanding its logic.
- Explore the concept that an infinite number of rational numbers exist between any two rational numbers.
- Learn how to convert between mixed numbers and improper fractions for easier calculations.
- Apply rational number understanding to calculate percentages and avoid common retail discount traps.
- Master unit conversions by treating units as variables that cancel out in fractional setups.
- Ponder the philosophical implications of mathematical infinity crashing into the finite physical world.
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(0)This lesson dives into rational numbers — what they are, how to recognize them, and how to work with them confidently. From college graduation rates e...
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Quiz: Rational Numbers, Fractions, and Real-World Applications
FundamentalsAnswer each question based only on what was presented in the video lesson. No outside knowledge is required — every answer can be found in the video.
Practice: Rational Numbers, Fractions, and Percentages
PracticeApply the concepts from the video to solve problems involving rational numbers, equivalent fractions, fraction operations, percentages, and unit conversions. Show all work; problems increase in difficulty.