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 18.1 Know Your Numbers 18.2 Order of Operations 18.3 Odd and Even Numbers 18.4 The Positive, the Negative, and the Ugly 18.5 Divisibility and Remainders 18.6 Factors 18.7 Multiples 18.8 Know Your Fractions

 18.9 Decimals 18.10 Percents 18.11 Ratios 18.12 Exponents 18.13 Roots and Radicals 18.14 Sequences 18.15 Sets
Decimals
A decimal number is any number with a nonzero digit to the right of the decimal point. But for the SAT, it’s more important to know that decimals are, like fractions, a way of writing parts of wholes. If you have to add, subtract, multiply, divide, or perform any other operation on a decimal for the SAT, we highly recommend that you use a calculator. It will save more time and you will make fewer mistakes.
Converting Decimals to Fractions
Even if you use a calculator, you should know how to convert decimals into fractions and vice versa. Both conversions are easy to do.
To convert a decimal number to a fraction,
1. Remove the decimal point and make the decimal number the numerator.
2. Let the denominator be the number 1 followed by as many zeros as there are decimal places in the decimal number.
3. Reduce this fraction.
To convert .3875 into a fraction, first eliminate the decimal point and place 3875 as the numerator:
Since .3875 has four digits after the decimal point, put four zeros in the denominator following the number 1:
Then, by finding the GCF of 3875 and 10,000, which is 125, reduce the fraction:
To convert from fractions back to decimals is a cinch: divide the numerator by the denominator on your calculator:
 Jump to a New ChapterIntroductionThe Discipline of DisciplineSAT StrategiesThe SAT Personal TrainerMeet the Writing SectionBeat the EssayBeat Improving SentencesBeat Identifying Sentence ErrorsBeat Improving ParagraphsMeet the Critical Reading sectionBeat Sentence CompletionsReading Passages: The Long and Short of ItThe Long of ItThe Short of ItSAT VocabularyMeet the Math SectionBeat Multiple-Choice and Grid-InsNumbers and OperationsAlgebraGeometryData, Statistics, and Probability
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