Decimal place values

Learning Objectives Identify the place value of any digit in a decimal number. Write decimal numbers in expanded form using fractions or decimals. Compare and order decimal numbers based on their place values. Convert decimal numbers between standard form and word form. Explain the relationship between decimal place values and fractions. Determine the value of a specific digit within a decimal number. Ever wondered how stores calculate prices like $19.99 or how Olympic scores are given as 9.85? 🏅 These numbers use decimal place values to show parts of a whole! In this lesson, we'll dive deep into understanding decimal place values, learning what each digit to the right of the decimal point represents. Mastering this skill is crucial for accurately working with money,...

TermDefinitionExample DecimalA number that uses a decimal point to represent a value that is not a whole number, indicating parts of a whole.3.14, 0.5, 12.075 Place ValueThe value of a digit based on its position in a number. For decimals, positions to the right of the decimal point represent fractional parts.In 0.25, the '2' is in the tenths place, and the '5' is in the hundredths place. Decimal PointThe symbol ('.') that separates the whole number part from the fractional part of a decimal number.In 4.78, the '.' separates the whole number '4' from the fractional part '.78'. Tenths PlaceThe first digit to the right of the decimal point, representing a value of one-tenth (1/10) or 0.1.In 0.6, the '6' is in the tenths p...

Decimal Place Value Pattern Digits to the right of the decimal point follow a pattern: tenths, hundredths, thousandths, and so on. Each place is $\frac{1}{10}$ of the place to its left. This rule helps you name the place value of any digit in a decimal. For example, the first digit after the decimal is tenths, the second is hundredths, the third is thousandths. This pattern continues indefinitely. Writing Decimals in Expanded Form A decimal number $W.T H K...$ can be written as $W + T \times \frac{1}{10} + H \times \frac{1}{100} + K \times \frac{1}{1000} + ...$ To write a decimal in expanded form, break down the number by the value of each digit. The whole number part is written normally, and the decimal part is written as fractions or decimals representing their place value...