Decimal numbers review

Learning Objectives Identify the place value of digits in decimal numbers. Compare and order decimal numbers. Round decimal numbers to a specified place value. Fluently add and subtract decimal numbers. Fluently multiply and divide decimal numbers. Solve real-world problems involving decimal operations. Ever wondered how your bank account balance stays precise, or how scientists measure tiny amounts? 🧪 It's all thanks to decimal numbers! In this lesson, we'll refresh our understanding of decimal numbers, their place values, and how to perform all four basic operations (addition, subtraction, multiplication, and division) with them. Mastering decimals is crucial for everyday math and more advanced topics like proportions and linear equations. Real-World Applicati...

TermDefinitionExample Decimal PointA symbol (.) used to separate the whole number part from the fractional part of a number.In 3.14, the '.' is the decimal point, separating 3 (whole) from 14 (fractional). Place ValueThe value of a digit based on its position in a number. For decimals, positions to the right of the decimal point represent fractions of a whole (tenths, hundredths, thousandths, etc.).In 0.123, '1' is in the tenths place, '2' is in the hundredths place, and '3' is in the thousandths place. Terminating DecimalA decimal number that has a finite number of digits after the decimal point.0.5, 3.125, 10.0 Repeating DecimalA decimal number that has a digit or a block of digits that repeat infinitely after the decimal point.0.333... (written a...

Adding and Subtracting Decimals Align the decimal points vertically, then add or subtract as you would with whole numbers. Add zeros as placeholders if needed. This rule ensures that you are adding or subtracting digits of the same place value. For example, you add tenths to tenths, hundredths to hundredths. Multiplying Decimals Multiply the numbers as if they were whole numbers, ignoring the decimal points. Then, count the total number of decimal places in the original factors. Place the decimal point in the product so it has that many decimal places. This rule correctly accounts for the fractional parts of the numbers being multiplied. The number of decimal places in the product is the sum of the decimal places in the factors. Dividing Decimals If the divisor is a de...