Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
0:50 minutes
Problem 6a
Textbook Question
Textbook QuestionEvaluate each expression. 0/7
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Division by Zero
In mathematics, division by zero is undefined. This means that any expression where the divisor is zero does not yield a valid numerical result. For example, in the expression 0/7, the numerator is zero, which is valid, but the denominator is not zero, allowing the division to be performed. However, if the denominator were zero, the expression would be undefined.
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Zero as a Numerator
When zero is the numerator in a fraction, the value of the fraction is always zero, provided the denominator is not zero. This is because zero divided by any non-zero number results in zero. In the case of 0/7, the result is 0, illustrating that any number divided by a non-zero number yields zero.
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Evaluating Expressions
Evaluating an expression involves calculating its value based on the operations and numbers involved. In the case of 0/7, the evaluation process requires performing the division operation, which leads to the conclusion that the expression equals zero. Understanding how to evaluate expressions is fundamental in algebra, as it allows for the simplification and solving of mathematical problems.
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