Questions and Answers
What is a fraction?
What is the numerator in a fraction?
Top of a fraction, the number or term that is being divided in a fraction.
What is the role of the denominator in a fraction?
Bottom of a fraction, cannot equal zero.
All rational numbers can be written as a fraction.
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What defines rational numbers?
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What is a rational expression?
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What is the definition of a rational equation?
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What is a proportion?
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What is an excluded value?
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Study Notes
Fractions and Their Components
- A fraction is defined as the ratio of two integers or expressions.
- The numerator is the top part of a fraction, representing the number or term being divided.
- The denominator is the bottom part of a fraction, which cannot equal zero as this would make the fraction undefined.
Rational Numbers and Expressions
- Rational numbers can be expressed as a fraction (a/b), and they are associated with either terminating or repeating decimals.
- A rational expression is an algebraic expression that includes variables in the denominator.
Equations and Proportions
- A rational equation consists of two rational expressions that are set equal to one another.
- A proportion is established when two ratios are equal, indicating a relationship between the two quantities.
Exclusion of Certain Values
- An excluded value refers to a variable value that would cause the denominator of a rational expression to become zero, rendering the expression undefined.
Studying That Suits You
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Description
Test your knowledge of key concepts in Algebra 1 Unit 6 with these flashcards. Each card features important terms like fraction, numerator, and denominator, along with their definitions. Perfect for reinforcing your understanding of rational numbers and their properties.