The Multiplication Principle of Equality2.3b3.Use the multiplication principle to clear fractions and decimals from equations.

Review: TermsThree termsThree termsThree terms

Review: TermsFour termsFour termsFour terms

Review3121

Clearing FractionsMultiply EVERY TERM by the LCD, even if the term does not contain a fraction.Equivalent equation but no fractions!!!Only works with EQUATIONS!Expression.Cant clear the fractions.

Clearing FractionsTo Solve Linear Equations1. Clear the fractions.2. Simplify both sides of the equation as needed. a. Distribute to clear parentheses. b. Combine like terms.3. Use the addition principle so that all variable terms are on one side of the equation. 4. Use the addition principle so that all constants are on the other side. 5. Use the multiplication principle to isolate the variable.

Clearing Fractions1. Clear fractions.2. Simplify 3. Move the variable terms. 4. Move the constants.5. Isolate the variable.LCD:18Terms:3Goal: Denominators = 1Take the time to rewrite!

Clearing Fractions1. Clear fractions.2. Simplify 3. Move the variable terms. 4. Move the constants.5. Isolate the variable.LCD:12Terms:4

Clearing Fractions1. Clear fractions.2. Simplify 3. Move the variable terms. 4. Move the constants.5. Isolate the variable.LCD:10Terms:3

DecimalsDecimals are another way to write fractions!

Multiplying Powers of 10Move decimal point one place.Move decimal point two places.Count the number of zeros and move the decimal that many places.

1. Clear fractions.2. Simplify 3. Move the variable terms. 4. Move the constants.5. Isolate the variable.LCD:100Terms:3Clearing Decimals

1. Clear fractions.2. Simplify 3. Move the variable terms. 4. Move the constants.5. Isolate the variable.LCD:10Terms:4Clearing Decimals1If the problem starts with decimals,leave the answer in decimal form.

Solve. 0.8 4(a 1) = 0.2 + 3(4 a) a) 10b) 7.4c) 8.6d) 20.6 2.3

Solve. 0.8 4(a 1) = 0.2 + 3(4 a) a) 10b) 7.4c) 8.6d) 20.6 2.3