**See Also**

addition video, arithmetic operations video, distributive property video, expressions video, multiplication video, operations video, properties of addition video, properties of multiplication video, simplifying expressions video.

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This math video tutorial clip shows how to simplify algebraic expressions by following the rules of order of operations, distributive property and combining like terms.

Distributive property helps us get rid of the paranthesis first and then we combine the like terms to reach the solution.

Distributive property helps us get rid of the paranthesis first and then we combine the like terms to reach the solution.

Simplifying using distributive property with negative coefficients video involves addition, arithmetic operations, distributive property, expressions, multiplication, operations, properties of addition, properties of multiplication, simplifying expressions. The video tutorial is recommended for 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, and/or 10th Grade Math students studying Algebra, Geometry, Trigonometry, Arithmetic, Basic Math, Pre-Algebra, and/or Advanced Algebra.

Addition is the basic operation of arithmetic. In its simplest form, addition combines two numbers, the addends or terms, into a single number, the sum.

Adding more than two numbers can be viewed as repeated addition; this procedure is known as summation and includes ways to add infinitely many numbers in an infinite series; repeated addition of the number one is the most basic form of counting.

Addition is commutative and associative so the order in which the terms are added does not matter. The identity element of addition (the additive identity) is 0, that is, adding zero to any number will yield that same number. Also, the inverse element of addition (the additive inverse) is the opposite of any number, that is, adding the opposite of any number to the number itself will yield the additive identity, 0. For example, the opposite of 7 is (-7), so 7 + (-7) = 0. Addition can be given geometrically as follows.

If a and b are the lengths of two sticks, then if we place the sticks one after the other, the length of the stick thus formed will be a+b

Adding more than two numbers can be viewed as repeated addition; this procedure is known as summation and includes ways to add infinitely many numbers in an infinite series; repeated addition of the number one is the most basic form of counting.

Addition is commutative and associative so the order in which the terms are added does not matter. The identity element of addition (the additive identity) is 0, that is, adding zero to any number will yield that same number. Also, the inverse element of addition (the additive inverse) is the opposite of any number, that is, adding the opposite of any number to the number itself will yield the additive identity, 0. For example, the opposite of 7 is (-7), so 7 + (-7) = 0. Addition can be given geometrically as follows.

If a and b are the lengths of two sticks, then if we place the sticks one after the other, the length of the stick thus formed will be a+b

An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. Bound variables are assigned values within the expression (they are for internal use) while free variables can take on values from outside the expression.

Multiplication is in essence repeated addition, or the sum of a list of identical numbers. Multiplication finds the product of two numbers, the multiplier and the multiplicand, sometimes both simply called factors.

Multiplication, as it is really repeated addition, is commutative and associative; further it is distributive over addition and subtraction. The multiplicative identity is 1, that is, multiplying any number by 1 will yield that same number. Also, the multiplicative inverse is the reciprocal of any number, that is, multiplying the reciprocal of any number by the number itself will yield the multiplicative identity.

Multiplication, as it is really repeated addition, is commutative and associative; further it is distributive over addition and subtraction. The multiplicative identity is 1, that is, multiplying any number by 1 will yield that same number. Also, the multiplicative inverse is the reciprocal of any number, that is, multiplying the reciprocal of any number by the number itself will yield the multiplicative identity.

- Associative Property of Addition
- Cummutative Property of Addition
- Identity Property of Addition
- Distributive Property of Multiplication over Addition

- Associative Property of Multiplication
- Cummutative Property of Multiplication
- Zero Property of Multiplication
- Identity Property of Multiplication
- Distributive Property of Multiplication over Addition

Simplifying expressions requires a lot of practice. First, you need to have a clear and thorough understanding of the properties of integers and real numbers. Even though these properties may look obvious, it becomes difficult to identify them in given expressions.

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