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How do you distribute expressions?

Last Updated: 12th February, 2020

22
Distributing items is an act of spreading themoutequally. Algebraic distribution means to multiply eachof theterms within the parentheses by another term that is outsidetheparentheses. To distribute a term over several otherterms,you multiply each of the other terms by the firstterm.

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Also asked, how do you do the distributive property step by step?

Method 1 Using the BasicDistributiveProperty

  1. Multiply the term outside of the parentheses by each term intheparentheses. To do this, you are essentially distributing theouterterm into the inner terms.
  2. Combine like terms. Before you can solve the equation, youwillhave to combine like terms.
  3. Solve the equation.

Likewise, do you distribute when you multiply? The correct answer is 30(2) + 30(4). Thedistributiveproperty of multiplication over subtraction islike thedistributive property of multiplication overaddition.You can subtract the numbers and thenmultiply, oryou can multiply and then subtract asshown below. This iscalled “distributingthemultiplier.”

In this regard, how do I simplify an expression?

Here are the basic steps to follow to simplify analgebraicexpression:

  1. remove parentheses by multiplying factors.
  2. use exponent rules to remove parentheses in termswithexponents.
  3. combine like terms by adding coefficients.
  4. combine the constants.

What is the distributive rule?

Distributive law, in mathematics, thelawrelating the operations of multiplication and addition,statedsymbolically, a(b + c) = ab + ac; that is, the monomialfactor a isdistributed, or separately applied, to each term of thebinomialfactor b + c, resulting in the product ab +ac.

Related Question Answers

Myrl Heidegger

Professional

What is distributive method?

To “distribute” means to divide somethingorgive a share or part of something. According tothedistributive property, multiplying the sum of two ormoreaddends by a number will give the same result as multiplyingeachaddend individually by the number and then adding theproductstogether.

Yerena Garnica

Professional

What happens when the exponent is outside the parentheses?

An exponent applies only to the value toitsimmediate left. When a quantity in parentheses is raisedtoa power, the exponent applies to everything insidetheparentheses. For any nonzero number n and any integerx,n-x= .

Hayden Rodolph

Explainer

How do you use the distributive property to remove parentheses?

Parentheses can be removed by multiplyingthecoefficient to each term inside the parentheses. Note:Anegative sign outside parentheses can be understood asthecoefficient -1. The distributive property may thenbeapplied to remove the parentheses.

Sharda Tallec

Explainer

What are coefficients?

A number used to multiply a variable. Example: 6z means6times z, and "z" is a variable, so 6 is acoefficient.Variables with no number have acoefficient of 1. Example: xis really 1x. Sometimes a letterstands in for thenumber.

Arcadi Campayo

Pundit

How do you solve algebra?

Steps
  1. Write the problem.
  2. Decide whether to use addition or subtraction to isolatethevariable term.
  3. Add or subtract the constant on both sides of theequation.
  4. Eliminate the coefficient of the variable through divisionormultiplication.
  5. Solve for the variable.

Remedio Lory

Pundit

How do you do algebra?

Part 2 Solving Problems
  1. Recognize that algebra is just like solving a puzzle.
  2. Perform operations on both sides of the equation.
  3. Isolate the variable on one side of the equation.
  4. Take the root of the number to cancel an exponent.
  5. Combine like terms.
  6. Practice with more complex problems.
  7. Check your answers.

Sunshine Bereycua

Pundit

What is distributive property expression?

Definition. distributive property.Thedistributive property states that the product ofanexpression and a sum is equal to the sum of the productsofthe expression and each term in the sum. For example, a(b+c) = ab + ac. Equivalent.

Awais Negrete

Pundit

What is an example of distributive property?

Definition: The distributive propertyletsyou multiply a sum by multiplying each addend separately andthenadd the products. Consider the first example,thedistributive property lets you "distribute" the 5 toboththe 'x' and the '2'.

Allene Kornfeld

Teacher

What is distributive property 5th grade?

The Distributive Property states that whenyoumultiply the sum of two or more addends by a factor, the productisthe same as if you multiplied each addend by the factor andthenadded the partial products. The Distributive Propertyisillustrated below graphically, arithmetically,andalgebraically.

Chavdar Bakushinsky

Teacher

How do you distribute parentheses?

Example 1: Distribute the number 2 over the terms intheparentheses in the expression, 2(4x + 3y – 6).
  1. Multiply each term by the number(s) and/or variable(s)outsideof the parentheses. 2(4x) + 2(3y) – 2(6)
  2. Perform the multiplication operation in each term. 8x +6y– 12.

Dorinel Delfa

Teacher

What is distributive property 4th grade?

On the other hand, the Distributive Propertyusestwo operations: multiplication and addition. It is an essentialkeyto success in algebra. The Distributive Property allowsyouto "distribute" a number to each of the addends withinparentheses.It offers another way of solving aproblem.

Khadidjetou Lindenmayer

Teacher

Which comes first addition or subtraction?

After multiplication and division has been completed,addor subtract in order from left to right. The orderofaddition and subtraction is also determined bywhichone comes first when reading from lefttoright.

Rosalvina Puchstein

Reviewer

What is identity property?

The identity property for addition tells usthatzero added to any number is the number itself. Zero is calledthe"additive identity." The identity propertyformultiplication tells us that the number 1 multiplied timesanynumber gives the number itself. The number 1 is calledthe"multiplicative identity." Addition.

Mishel El Founti

Reviewer

How do you find like terms?

"Like terms" are terms whose variables(andtheir exponents such as the 2 in x2) are the same.Inother words, terms that are "like" each other.Note:the coefficients (the numbers you multiply by, such as "5" in5x)can be different.

Marcolino Ristov

Reviewer

Why do we simplify expressions?

Simplifying Algebraic Expressions.By“simplifying” an algebraicexpression,we mean writing it in the most compact orefficient manner,without changing the value of theexpression. This mainlyinvolves collecting like terms, whichmeans that we addtogether anything that can be addedtogether.

Fructuoso Finzsch

Reviewer

Does simplify mean to solve?

Simplify - DefinitionwithExamples
To reduce a fraction to its lowest terms by cancelingtothe lowest common factor for both numerator and denominator ortocondense an algebraic expression by grouping and combiningsimilarterms. Simplifying makes a algebric expressioneasilyunderstandable and solvable.

Ali Lafrentz

Supporter

How do you simplify rational expressions step by step?

Q and S do not equal 0.
  1. Step 1: Factor both the numerator and the denominator.
  2. Step 2: Write as one fraction.
  3. Step 3: Simplify the rational expression.
  4. Step 4: Multiply any remaining factors in the numeratorand/ordenominator.
  5. Step 1: Factor both the numerator and the denominator.
  6. Step 2: Write as one fraction.

Armelina Sinues

Supporter

How do you evaluate expressions?

To evaluate an algebraic expression,youhave to substitute a number for each variable and performthearithmetic operations. In the example above, the variable xisequal to 6 since 6 + 6 = 12. If we know the value of ourvariables,we can replace the variables with their values andthenevaluate the expression.

Iker Reventos

Supporter

How do you simplify rational algebraic expressions?

Rational expressions, orfractionscontaining polynomials, can be simplifiedmuch likefractions can be simplified. To simplifyarational expression, first determine common factors ofthenumerator and denominator, and then remove them by rewritingthemas expressions equal to 1.

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12th February, 2020

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