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	Dividing Decimals by Whole Numbers
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	Writing a Rational Expression in Lowest Terms
	Solving Quadratic Inequalities with a Sign Graph
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	The Square of a Binomial
	Properties of Negative Exponents
	Inverse Functions
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	Linear Equations
	Solving Equations with One Log Term
	Combining Operations
	The Ellipse
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	Graphing Inequalities in Two Variables
	Solving Trigonometric Equations
	Adding and Subtracting Fractions
	Simple Trinomials as Products of Binomials
	Ratios and Proportions
	Solving Equations
	Multiplying and Dividing Fractions 2
	Rational Numbers
	Difference of Two Squares
	Factoring Polynomials by Grouping
	Solving Equations That Contain Rational Expressions
	Solving Quadratic Equations
	Dividing and Subtracting Rational Expressions
	Square Roots and Real Numbers
	Order of Operations
	Solving Nonlinear Equations by Substitution
	The Distance and Midpoint Formulas
	Linear Equations
	Graphing Using x- and y- Intercepts
	Properties of Exponents
	Solving Quadratic Equations
	Solving One-Step Equations Using Algebra
	Relatively Prime Numbers
	Solving a Quadratic Inequality with Two Solutions
	Quadratics
	Operations on Radicals
	Factoring a Difference of Two Squares
	Straight Lines
	Solving Quadratic Equations by Factoring
	Graphing Logarithmic Functions
	Simplifying Expressions Involving Variables
	Adding Integers
	Decimals
	Factoring Completely General Quadratic Trinomials
	Using Patterns to Multiply Two Binomials
	Adding and Subtracting Rational Expressions With Unlike Denominators
	Rational Exponents
	Horizontal and Vertical Lines

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Dividing Decimals by Whole Numbers

Objective Learn how to apply the division algorithm to dividing decimals.

As is the case with addition, subtraction, and multiplication, dividing decimals requires only the use of the standard algorithm together with a method for placing the decimal point. Therefore, you are not having to learn a new algorithm, just a small change to one they already know.

To divide a decimal by a whole number, perform the division as if the dividend (the number being divided) is a whole number, and place the decimal point in the quotient (the result) directly above the decimal point in the dividend.

Example

Divide 7.12 by 4.

Solution

Carry out the long division as if there is no decimal point in the dividend.

Now insert the decimal point in the quotient directly above the decimal point in the dividend.

So, the quotient is 1.78.