Add, subtract, multiply, and divide decimals

Learning Objectives Add and subtract multi-digit decimals by correctly aligning decimal points. Multiply decimals and accurately place the decimal point in the product. Divide decimals by whole numbers and by other decimals. Solve multi-step word problems involving all four decimal operations. Estimate the results of decimal operations to verify the reasonableness of their answers. Explain how operations with terminating decimals relate to their identity as rational numbers. Ever calculated your share of a pizza bill down to the cent or figured out your batting average? 🍕 That's the power of decimals in action! This tutorial will guide you through the four fundamental operations with decimals: addition, subtraction, multiplication, and division. Mastering these skills...

TermDefinitionExample DecimalA number in the base-10 system that uses a decimal point to separate the whole number part from the fractional part (tenths, hundredths, etc.).In the number 34.56, '34' is the whole number part and '.56' is the fractional part. Decimal PointThe dot used to separate the ones place from the tenths place in a decimal number.The dot in 12.3 is the decimal point. Place ValueThe value of a digit based on its position relative to the decimal point.In 7.82, the '8' is in the tenths place (value 0.8) and the '2' is in the hundredths place (value 0.02). Rational NumberAny number that can be expressed as a fraction a/b, where 'a' and 'b' are integers and 'b' is not zero. All terminating and repeating d...

Addition & Subtraction Rule Line up the decimal points vertically. When adding or subtracting decimals, align the numbers so that their decimal points are in a straight vertical line. Annex zeros as placeholders if needed. Add or subtract as you would with whole numbers, and place the decimal point in the answer directly below the other decimal points. Multiplication Rule 1. Multiply numbers. 2. Count places. 3. Place decimal. First, ignore the decimal points and multiply the numbers as if they were whole numbers. Then, count the total number of digits to the right of the decimal point in both original numbers. Finally, place the decimal point in the product so that it has that total number of decimal places. Division Rule Make the divisor a whole number. If the...