What Is the Distributive Property of 55+35?

In mathematics, the distributive property is a property of algebraic expressions that allows for the factorization of a sum of two terms as the product of a sum and a difference of the same terms. That is, for summands a and b and factor c:

a+b = (a+c)+(b-c)

the distributive property states that

a(b+c) = ab+ac

In the above expression, the distributive property is applied to the sum of two terms, a and b, to give the product of a sum and a difference of the same terms. This property is often used to simplify algebraic expressions by removing parentheses.

The distributive property is a fundamental principle of algebra that underlies much of the algebraic manipulation that is performed in solving equations and manipulating polynomials. It is also a key ingredient in the algebraic operations of multiplying polynomials and taking powers of polynomials.

The distributive property is a fundamental principle of algebra that allows us to simplify algebraic expressions. It states that for any real numbers a, b, and c, we have:

a(b + c) = ab + ac

In other words, the distributive property allows us to distribute a single term (such as a) to every term in a binomial expression (such as b + c). This can be a helpful tool when trying to simplify complex algebraic expressions.

For example, let's say we want to simplify the expression 5(3 + 2). We can use the distributive property to do this:

5(3 + 2) = 5(3) + 5(2)

= 15 + 10

= 25

As you can see, the distributive property can be a valuable tool when simplifying algebraic expressions.

In mathematics, distributing is the process of factoring out a common factor from a sum or difference of two terms. For example, when distributing the sum of two terms, x + y, the common factor of x and y would be extracted from each term and put in front of the sum symbol, giving the expression x(1 + y). This is read as "x times the sum of one and y".

The steps for distributing 55+35 are as follows:

1) Determine the common factor of the two terms being added, which in this case is 5.

2) Extract the common factor from each term and put it in front of the sum symbol. This gives the expression 5(11 + 7).

3) Simplify the sum inside the parentheses by adding the two terms. This gives the final answer of 5(18), which is read as "5 times 18".

The answer to 55+35 when distributed is 80. This is because when you distribute the addition, you are essentially breaking down the problem into smaller parts that are easier to solve. So, in this case, you would take 5+5 and 3+5 to get the answer of 8.

When solving equations or working with algebra, the distributive property is a useful tool to simplify equations. The distributive property states that for any numbers a, b, and c, the equation a(b+c) = ab+ac. In other words, you can distribute the a factor to both terms in the parentheses. One common use of the distributive property is to help simplify equations with multiple terms. For example, consider the equation 4x+7=12. To solve for x, we can use the distributive property to simplify the equation. First, we'll distribute the 4 to both terms in the parentheses: 4x+4(7)=4(12). Then, we can simplify by combining like terms: 4x+28=48. Finally, we can solve for x by dividing both sides by 4: x=48/4=12. So, in this example, the distributive property helped us simplify the equation and solve for x. The distributive property can also be used to multiply a binomial by a trinomial. For example, consider the equation (2x+3)(4x^2-7x+5). We can use the distributive property to simplify this equation: 2x(4x^2-7x+5)+3(4x^2-7x+5). Then, we can simplify by distributing the 2x and 3 factors to all terms in the parentheses and combining like terms: 8x^3-14x^2+10x+12x^2-21x+15. Finally, we can combine like terms one last time to get the final answer: 8x^3-26x^2+25x+15. So, in this example, the distributive property helped us multiply a binomial by a trinomial. The distributive property is a handy tool to simplify equations with multiple terms. Next time you're solving an equation, see if you can use the distributive property to simplify it.

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The distributive property is a property of mathematics that states that for any real numbers a, b, and c, the following is true: a(b+c) = ab + ac. In words, the distributive property states that when multiplying a real number by the sum of two other real numbers, the product is equal to the sum of the products of the real number and each of the other two real numbers. This property is one of the most important properties of arithmetic, as it is fundamental to the process of algebra.

The distributive property can be used to simplify expressions and to solve equations. It is often used in algebra to simplify equations before solving them. For instance, consider the equation 3x + 5 = 11. Using the distributive property, this equation can be rewritten as 3x + 3(2) = 11. This equation is now much easier to solve, as the left side can be simplified to 3x + 6 = 11, and then solved to give x = 5.

The distributive property is also often used in geometry to simplify expressions. For instance, the perimeter of a rectangle can be found by using the distributive property to simplify the expression for the length of the rectangle. If the length of the rectangle is l and the width is w, then the perimeter is P = l + l + w + w. Using the distributive property, this expression can be rewritten as P = 2l + 2w. This expression is much simpler, and thus it is much easier to calculate the perimeter of the rectangle.

In general, the distributive property is a very powerful tool that can be used to simplify expressions and to solve equations. It is one of the most important properties of arithmetic and should be fully understood by anyone who wishes to study mathematics.

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The distributive property of addition is a property that states that the sum of two or more numbers is the same regardless of the order in which the numbers are added. In other words, the distributive property states that when two or more numbers are added, the result is the same as if they were added in any order.

The distributive property is a fundamental property of arithmetic that is used in many mathematical operations. It is used when simplify-ing addition and multiplication equations, and it is a key property that is used in algebra. The distributive property is also used in geometry to help simplify calculations.

The distributive property can be used to simplify addition problems. For example, consider the problem: 3 + 7 + 4. This problem can be simplified using the distributive property as follows: 3 + 7 + 4 = 3 + (7 + 4) = (3 + 7) + 4 = 10 + 4 = 14.

The distributive property can also be used to simplify multiplication problems. For example, consider the problem: 3 × 7 × 4. This problem can be simplified using the distributive property as follows: 3 × 7 × 4 = 3 × (7 × 4) = (3 × 7) × 4 = 21 × 4 = 84.

The distributive property is a powerful tool that can be used to simplify many mathematical operations. It is a fundamental property of arithmetic that should be understood by all students who are studying mathematics.

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What is the distributive property of subtraction?

The distributive property of subtraction is one of the basic properties of arithmetic. It states that for any numbers a, b and c, we have:

a - (b + c) = (a - b) - c.

In other words, subtracting a number from a sum is the same as subtracting it from each member of the sum and then subtracting the results.

The distributive property is a fundamental property of arithmetic which makes it possible to calculate with numbers. It is used implicitly when we subtract numbers in the usual way. For example, when we subtract 7 from 12, we are actually using the distributive property in the following way:

12 - 7 = (10 + 2) - 7 = (10 - 7) + (2 - 7) = 3 + (-5) = -2.

The distributive property is also used in algebra. For example, when we want to solve the equation x - (y + z) = 0, we can use the distributive property to rewrite it as x - y - z = 0, which is an equation in three variables that is much easier to solve.

The distributive property is a simple but powerful tool that can be used in many different ways. In particular, it can be used to simplify algebraic expressions and to solve equations.

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In mathematics, the distributive property is a property of some binary operations (like addition and multiplication) that states that the operation can be "distributed" over a sum. More generally, distributing a binary operation over a sum is the same as applying the operation to each term of the sum, and then combining the results using the ordinary laws of the operation. The distributive property is one of the fundamental properties of algebra and plays a major role in mathematical manipulations. It is used in all algebraic manipulation, including solving equations and factoring polynomials.

The distributive property is often symbolized using the "dot" or "multiplication" symbol. For example, the distributive property of multiplication can be symbolized as:

a · (b + c) = (a · b) + (a · c)

This equation states that when we multiply a number by a sum, we can get the same result by multiplying the number by each term of the sum and then adding the results.

The distributive property is not only limited to multiplication. It also applies to other binary operations, such as addition and subtraction. For example, the distributive property of addition can be symbolized as:

a + (b + c) = (a + b) + c

This equation states that when we add a number to a sum, we can get the same result by adding the number to each term of the sum.

The distributive property also applies to division, although it is often not as straightforward as with other operations. The distributive property of division can be symbolized as:

a ÷ (b + c) = (a ÷ b) + (a ÷ c)

This equation states that when we divide a number by a sum, we can get the same result by dividing the number by each term of the sum.

However, division is a little more complicated than other operations because it is not always possible to divide a number by a sum. For example, consider the following equation:

4 ÷ (2 + 3)

In this equation, we are trying to divide 4 by the sum of 2 and 3. However, this is not possible because we cannot divide 4 by 5. In fact, we cannot divide any number by 5. So, in this case, the distributive property of division does not apply.

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