Compare percents to fractions and decimals

Learning Objectives Convert percents to equivalent fractions and decimals. Convert fractions to equivalent percents and decimals. Convert decimals to equivalent percents and fractions. Compare any two values given in different forms (percent, fraction, or decimal). Order a set of three or more values presented as percents, fractions, and decimals. Apply conversion and comparison skills to solve real-world problems. Justify their comparisons by showing the equivalent forms of numbers. Have you ever wondered which deal is better: '25% off' or '1/4 off' a price? 🤔 Understanding how to compare different types of numbers helps you make smart choices! In this lesson, you'll learn how to convert between percents, fractions, and decimals, and then use th...

TermDefinitionExample PercentA percent represents a part of a whole, expressed as a fraction of 100. The word 'percent' means 'per one hundred'.25% means 25 out of 100, or 25/100. FractionA fraction represents a part of a whole, expressed as a ratio of two numbers, a numerator (top) and a denominator (bottom).1/4 means 1 part out of 4 equal parts. DecimalA decimal is a way to represent numbers that are not whole numbers, using a base-10 system with a decimal point to separate the whole number part from the fractional part.0.75 means seventy-five hundredths, or 75/100. ConversionThe process of changing a number from one form (like a percent) to another equivalent form (like a fraction or decimal) without changing its value.Converting 50% to 0.5 or 1/2. Equivalent FormsD...

Percent to Decimal Conversion $$P\% = \frac{P}{100} = P \div 100$$ To convert a percent to a decimal, divide the percent number by 100, or move the decimal point two places to the left. Decimal to Percent Conversion $$D = D \times 100\%$$ To convert a decimal to a percent, multiply the decimal by 100, or move the decimal point two places to the right and add the percent symbol. Fraction to Decimal Conversion $$\frac{N}{D} = N \div D$$ To convert a fraction to a decimal, divide the numerator by the denominator. Decimal to Fraction Conversion $$D = \frac{\text{decimal value}}{\text{power of 10 corresponding to place value}}$$ (then simplify) To convert a decimal to a fraction, write the decimal as a fraction with a denominator that is a power of 10 (e.g., 10, 1...