To read a decimal or write a decimal in words, you start at the left and end with the place value of the last number on the right. The place value grid can be used to assist you in understanding and working with the decimal system.ĭecimals can also be written in expanded notation, using the same techniques as when expanding whole numbers. Quiz: Variables and Algebraic Expressions.Variables Algebraic Expressions and Simple Equations.Quiz: Arithmetic Progressions and Geometric Progressions.Quiz: Calculating Measurements of Basic Figures.Calculating Measurements of Basic Figures.Customary System, Metric System, and Converting Units of Measure Rationals (Signed Numbers Including Fractions).Quiz: Rationals (Signed Numbers Including Fractions).Quiz: Changing Percents, Decimals, and Fractions, and Important Equivalents.Changing Percents, Decimals, and Fractions.Quiz: Changing Fractions to Decimals, Changing Terminating Decimals to Fractions, and Changing Infinite Repeating Decimals to Fractions.Changing Infinite Repeating Decimals to Fractions.Changing Terminating Decimals to Fractions.Quiz: Simplifying Fractions and Complex Fractions.Simplifying Fractions and Complex Fractions.Quiz: Multiplying and Dividing Fractions and Mixed Numbers.Multiplying Fractions and Mixed Numbers.Quiz: Adding and Subtracting Fractions and Mixed Numbers.Quiz: Proper and Improper Fractions, Mixed Numbers, and Renaming Fractions.Quiz: Factors, Primes, Composites, and Factor Trees.Factors, Primes, Composites, and Factor Trees.Quiz: Estimating Sums, Differences, Products, and Quotients.Estimating Sums, Differences, Products, and Quotients.Quiz: Grouping Symbols and Order of Operations.Ways to Show Multiplication and Division.Grouping Symbols and Order of Operations.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.Quiz: Ways to Show Multiplication and Division, Multiplying and Dividing by Zero, and Common Math Symbols.Our simulation results suggest that using gridable vehicles and second life batteries together can save up to 70% of conventional storage energy costs and recover capital costs for the second life batteries in only 1.5 years. Such a system model is presented in this paper for a Smart Grid environment. A system model that aggregates gridable vehicles and second life batteries together in an intelligent way to provide such backup energy can reduce significant storage costs. Second life batteries, disassembled from gridable vehicles after passing their automotive life, are another candidate for this purpose from the economic perspective. Electric vehicles and plug-in hybrid electric vehicles, with vehicle-to-grid capability, referred to as “gridable vehicles”, are a useful choice as storage devices for the same.
Using conventional storage devices for this purpose is feasible, but costly. Backup energy sources are required to replace the generating units during the maintenance period. Forced outages and short-notice/temporary maintenance of thermal units should also be considered as likely events.
As numerous generation side assets, such as the generating units and the plant equipments, in the Smart Grid system have already aged, well planned maintenance and operational scheduling is needed to maintain their expected longevity.
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