Add and subtract decimal numbers

Learning Objectives Identify the place value of digits in decimal numbers up to the hundredths place. Align decimal numbers correctly for addition and subtraction. Add decimal numbers with different numbers of decimal places, including regrouping. Subtract decimal numbers with different numbers of decimal places, including borrowing. Solve real-world word problems involving the addition of decimal numbers. Solve real-world word problems involving the subtraction of decimal numbers. Have you ever bought something at the store and needed to figure out the total cost, or how much change you'd get back? 💰 Decimals are everywhere in our daily lives, especially when dealing with money! In this lesson, you will learn how to confidently add and subtract decimal numbers. Under...

TermDefinitionExample Decimal NumberA number that includes a whole number part and a fractional part, separated by a decimal point.3.14 (where 3 is the whole number part and .14 is the fractional part) Decimal PointThe dot that separates the whole number part from the fractional part in a decimal number.In 5.25, the dot between the 5 and the 2 is the decimal point. Place Value (Decimals)The value of a digit based on its position in a decimal number, such as tenths, hundredths, and so on.In 0.75, the 7 is in the tenths place (0.7) and the 5 is in the hundredths place (0.05). TenthsThe first digit to the right of the decimal point, representing one-tenth (1/10) of a whole.In 0.3, the digit 3 is in the tenths place. HundredthsThe second digit to the right of the decimal point, representing o...

Rule for Aligning Decimal Points When adding or subtracting decimal numbers, always line up the decimal points vertically. This ensures that you are adding or subtracting digits with the same place value (ones with ones, tenths with tenths, hundredths with hundredths, etc.). Rule for Adding Trailing Zeros You can add zeros to the end of a decimal number without changing its value to make the number of decimal places equal. This helps to keep place values aligned and makes calculations clearer, especially in subtraction where you might need to borrow across different place values. Rule for Performing Operations and Placing the Decimal Point After aligning and adding zeros (if needed), add or subtract the numbers as you would whole numbers, then bring the decimal point s...