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
1:27 minutes
Problem 66a
Textbook Question
Textbook QuestionIn Exercises 65–76, write each number in decimal notation without the use of exponents. 9.2×10^2
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as a product of a number (the coefficient) and a power of ten. For example, in the expression 9.2×10^2, 9.2 is the coefficient, and 10^2 indicates that the coefficient should be multiplied by 100.
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Decimal Notation
Decimal notation is the standard way of writing numbers using digits from 0 to 9, where the position of each digit represents a power of ten. Converting from scientific notation to decimal notation involves calculating the value of the power of ten and multiplying it by the coefficient to express the number in a more familiar format.
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Multiplication of Powers of Ten
When multiplying a number by a power of ten, you shift the decimal point to the right for positive exponents and to the left for negative exponents. In the case of 9.2×10^2, the exponent 2 indicates that the decimal point in 9.2 should be moved two places to the right, resulting in the decimal notation of 920.
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