Fractions of whole numbers: Part 2

Learning Objectives Express fractions with denominators that are powers of 10 as decimals. Convert any fraction to a decimal using division. Convert terminating decimals to fractions in simplest form. Identify and understand the place value of digits in decimals (tenths, hundredths, thousandths). Compare and order decimals. Recognize the relationship between fractions, decimals, and whole numbers as different representations of the same value. Ever wondered how a recipe calls for '0.75 cups' of flour instead of '3/4 cup'? 🤔 Or why your phone battery shows '0.85' instead of '85/100'? In this lesson, we'll dive into decimals, exploring how they are another way to represent parts of whole numbers, just like fractions. You'll...

TermDefinitionExample DecimalA number that uses a decimal point to represent a part of a whole number. It's another way to write fractions with denominators that are powers of 10 (like 10, 100, 1000).0.5 is a decimal representation of 1/2. 1.25 is a decimal representation of 1 and 1/4. Decimal PointThe symbol ('.') that separates the whole number part from the fractional part of a decimal number.In 3.14, the decimal point separates the whole number '3' from the fractional part '.14'. Place Value (Decimals)The value of a digit based on its position relative to the decimal point. Digits to the right of the decimal point represent fractions with denominators of 10, 100, 1000, etc.In 0.123, '1' is in the tenths place (1/10), '2' is in the...

Converting a Fraction to a Decimal $ \frac{a}{b} = a \div b $ To convert any fraction to a decimal, divide the numerator (a) by the denominator (b). The result will be either a terminating or a repeating decimal. Converting a Terminating Decimal to a Fraction $ 0.d_1d_2...d_n = \frac{d_1d_2...d_n}{10^n} $ To convert a terminating decimal to a fraction, write the digits after the decimal point as the numerator. The denominator will be a power of 10 corresponding to the last decimal place (e.g., tenths means 10, hundredths means 100, thousandths means 1000). Always simplify the resulting fraction. Simplifying Fractions $ \frac{a}{b} = \frac{a \div \text{GCD}(a,b)}{b \div \text{GCD}(a,b)} $ After converting a decimal to a fraction, always simplify the fraction to its lo...