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
1:25 minutes
Problem 106c
Textbook Question
Textbook QuestionMultiply or divide as indicated. 34.04 * 0.56
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Decimals
Multiplying decimals involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the factors determines the placement of the decimal in the result. For example, in 34.04 (two decimal places) and 0.56 (two decimal places), the product will have four decimal places.
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Order of Operations
The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. In multiplication and division, operations are performed from left to right. This concept is crucial when dealing with multiple operations in a single expression, ensuring that calculations are executed correctly.
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Significant Figures
Significant figures are the digits in a number that contribute to its precision. When multiplying or dividing, the result should be reported with the same number of significant figures as the factor with the least significant figures. This concept is important for maintaining accuracy in calculations, especially in scientific and engineering contexts.
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