Chapter 2 & 3 Key Terms – Fractions and Decimal

Description

Flashcards with the key terms and definitions from Chapters 2 and 3 – Fractions and Decimals of the book Practical Business Math Procedures, 14th Edition (Slater & Wittry). Includes types of fractions, conversion procedures, operations with fractions and decimals, divisibility tests, and the use of the Least Common Denominator (LCD).
Edilyadiel Gonzalez
Flashcards by Edilyadiel Gonzalez, updated about 1 month ago
Edilyadiel Gonzalez
Created by Edilyadiel Gonzalez about 1 month ago
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Resource summary

Question Answer
Proper Fraction A fraction whose value is less than 1; the numerator is smaller than the denominator.
Improper Fraction A fraction whose value is equal to or greater than 1; the numerator is equal to or greater than the denominator.
Mixed Number The sum of a whole number greater than zero and a proper fraction.
Converting Improper Fractions Divide the numerator by the denominator. If there is a remainder, convert it to a mixed number.
Converting Mixed Numbers Multiply the denominator by the whole number, add the numerator, and place the result over the original denominator.
Reducing Fractions Divide both numerator and denominator by the largest whole number that divides them exactly.
Greatest Common Divisor (GCD) The largest whole number that divides both numerator and denominator exactly.
Divisibility Tests Methods to check if a number is divisible by another (example: divisible by 2 if it ends in 0, 2, 4, 6, 8).
Raising Fractions The process of converting fractions to higher equivalent denominators by multiplying numerator and denominator by the same factor.
Least Common Denominator (LCD) The smallest nonzero whole number into which all denominators will divide evenly.
Prime Numbers Numbers greater than 1 divisible only by 1 and themselves.
Adding Like Fractions Add numerators and keep the same denominator.E
Adding Unlike Fractions Find the LCD, convert fractions to equivalent denominators, then add numerators.
Adding Mixed Numbers Add the fractions first and then the whole numbers; reduce if necessary.
Subtracting Like Fractions Subtract the numerators and keep the same denominator.
Subtracting Unlike Fractions Find the LCD, convert to equivalent fractions, then subtract.
Subtracting Mixed Numbers If borrowing is not needed, subtract normally. If borrowing is needed, convert part of the whole number into a fraction before subtracting.
Multiplying Fractions Multiply numerators and denominators; reduce to lowest terms.
Multiplying Mixed Numbers Convert to improper fractions, multiply, and simplify.
Dividing Fractions Invert the second fraction (reciprocal) and multiply.
Dividing Mixed Numbers Convert to improper fractions, invert the divisor, and multiply.
Decimal Place Value Each digit to the right of the decimal point represents tenths, hundredths, thousandths, etc.
Rounding Decimals The process of approximating a decimal number to the desired place value (e.g., tenths, hundredths, thousandths)
Decimal Fraction A fraction with a denominator that is a power of 10 (10, 100, 1000, etc.), which can easily be written as a decimal.
Converting Fractions to Decimals Divide the numerator by the denominator to obtain the decimal equivalent.
Converting Mixed Numbers to Decimals Change the fractional part of a mixed number into a decimal and add it to the whole number.
Converting Decimals to Fractions Write the decimal digits as the numerator and use the corresponding power of 10 as the denominator. Simplify if possible.
Converting Percents to Decimals Divide the percent value by 100 and remove the percent sign (%).
Converting Percents to Fractions Write the percent as a fraction with denominator 100, then reduce to lowest terms.
Adding and Subtracting Decimals Align decimal points vertically, then add or subtract as with whole numbers.
Multiplying Decimals Multiply as with whole numbers. Then, count the total number of decimal places in both factors and place the decimal point in the product accordingly.
Dividing Decimals Move the decimal point in the divisor to make it a whole number, then move the decimal in the dividend the same number of places. Divide as with whole numbers.
Dividing by Powers of 10 Move the decimal point in the dividend to the left as many places as there are zeros in the power of 10.
Multiplying by Powers of 10 Move the decimal point in the number to the right as many places as there are zeros in the power of 10
Estimating with Decimals Approximate decimal numbers to a convenient place value in order to quickly estimate sums, differences, products, or quotients.
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