Algebra Tutorials! Home Solving Quadratic Equations by Completing the Square Graphing Logarithmic Functions Division Property of Exponents Adding and Subtracting Rational Expressions With Like Denominators Rationalizing the Denominator Multiplying Special Polynomials Functions Solving Linear Systems of Equations by Elimination Solving Systems of Equation by Substitution and Elimination Polynomial Equations Solving Linear Systems of Equations by Graphing Quadratic Functions Solving Proportions Parallel and Perpendicular Lines Simplifying Square Roots Simplifying Fractions Adding and Subtracting Fractions Adding and Subtracting Fractions Solving Linear Equations Inequalities in one Variable Recognizing Polynomial Equations from their Graphs Scientific Notation Factoring a Sum or Difference of Two Cubes Solving Nonlinear Equations by Substitution Solving Systems of Linear Inequalities Arithmetics with Decimals Finding the Equation of an Inverse Function Plotting Points in the Coordinate Plane The Product of the Roots of a Quadratic Powers Solving Quadratic Equations by Completing the Square
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# Arithmetics with Decimals

Doing arithmetic with decimals is a lot like doing arithmetic with whole numbers. Read on to see how itâ€™s done.

## Part 1: Adding and Subtracting Decimals

PROCEDURE: To add or subtract decimals, line up your numbers vertically so that the decimal points line up. Then add or subtract the columns from right to left, carrying or borrowing numbers when necessary.

SAMPLE PROBLEM: Add the following numbers: 3.1415 and 2.96.

 Step1: Line up the numbers vertically so that the decimal points line up. Step 2: Add the columns from right to left, carrying when necessary. The sum is 6.1015.

## Part 2: Multiplying Decimal Numbers

PROCEDURE: To multiply decimal numbers, align the numbers vertically and put the number with the most digits on top. Multiply the top number by the bottom number, just like you would multiply whole numbers. Then count the total number of decimal places in both of the multipliers. In your product, move the decimal point to the left the same number of places as there are in the multipliers.

SAMPLE PROBLEM: What is 1.12 Ã— 2.3?

 Step 1: Align the numbers vertically, with the longer number on top, and multiply. Step 2: Count the total number of decimal places in both numbers being multiplied. There is a total of 3 decimal places. Step 3: Because there is a total of 3 decimal places in your numbers, move the decimal point in your product 3 places to the left. The product of 1.12 and 2.3 is 2.576.

## Part 3: Dividing Decimal Numbers

PROCEDURE: To divide decimal numbers, move the decimal point in the divisor to the right until it is a whole number. Then move the decimal point in the dividend to the right the same number of places. Place a decimal point in the quotient directly above the decimal point in the dividend. Finally, divide as with whole numbers.

SAMPLE PROBLEM: Step 1: Move the decimal point in the divisor to the right until it is a whole number. Step 2: Move the decimal point in the dividend to the right the same number of places, and place a decimal point above it in the quotient. Step 3: Divide as with whole numbers.  