What is an example of a distributive property?
The distributive property is a mathematical principle that is used in algebra to simplify expressions. It states that when combining multiplication and addition or subtraction, you can distribute the multiplication over the terms being added or subtracted.
One example of the distributive property is:
5 * (2 + 3) = (5 * 2) + (5 * 3)
This equation can be simplified by multiplying 5 by each term inside the parentheses and then adding the results together. On the left side of the equation, you have 5 multiplied by the sum of 2 and 3. On the right side, you have 5 multiplied by 2 and 5 multiplied by 3. Both sides of the equation will have the same value, which is 25.
This example demonstrates how the distributive property allows you to break down an expression into smaller parts and then combine the results. It provides a way to simplify calculations and solve algebraic problems more efficiently.
The distributive property is a fundamental concept in mathematics and is used in various areas, such as solving equations, factoring expressions, and simplifying algebraic expressions.
Which sentence is an example of the distributive property?
One important concept in mathematics is the distributive property. This property is often used when working with algebraic expressions and equations. It allows us to simplify and manipulate expressions by distributing a factor to each term inside parentheses. For example, the distributive property states that a(b + c) = ab + ac.
Knowing the distributive property can help us solve equations more easily. For instance, if we have the equation 3(2x + 4) = 6x + 12, we can apply the distributive property to simplify it. By distributing the factor 3 to each term inside the parentheses, we get 6x + 12 = 6x + 12.
The distributive property is a fundamental concept in mathematics, and it is used in various areas such as algebra, arithmetic, and even calculus. It allows us to break down complex expressions and simplify them. For example, if we have the expression 2(3x - 5) + 4(x + 2), we can apply the distributive property to each term within the parentheses. This gives us 6x - 10 + 4x + 8, which can be further simplified to 10x - 2.
In conclusion, understanding and applying the distributive property can greatly enhance our ability to work with algebraic expressions and equations. It simplifies complex expressions and allows us to solve equations more efficiently. Therefore, the sentence "The distributive property states that a(b + c) = ab + ac" is an example of the distributive property.
What is an example of the distributive property of addition?
The distributive property of addition is a fundamental concept in mathematics that allows you to simplify expressions by combining like terms. It states that when you multiply a number by a sum or difference, you can distribute the multiplication to each term separately.
For example, let's consider the expression 3(4 + 2). According to the distributive property, we can distribute the 3 to both terms inside the parentheses:
3(4 + 2) = 3 * 4 + 3 * 2
Now, we can simplify the expression by multiplying:
3 * 4 + 3 * 2 = 12 + 6
Then, we can combine the like terms to get the final result:
12 + 6 = 18
Therefore, the simplified form of 3(4 + 2) is 18.
The distributive property of addition is a powerful tool that allows you to break down complex expressions and make calculations easier. It is a fundamental concept in algebra and is used extensively in various mathematical problems and equations.
What is an example of a distributive property for Grade 7?
The distributive property is a fundamental concept in mathematics that is introduced to students in grade 7. It is a property that allows you to multiply a sum by a number by distributing the multiplication to each term within the sum. This property is often used to simplify algebraic expressions and solve equations.
One example of the distributive property is:
If we have the expression 3(2 + 5), we can use the distributive property to distribute the multiplication of 3 to both terms inside the parentheses. This would give us 3 * 2 + 3 * 5. Simplifying further, we get 6 + 15, which equals 21.
This example demonstrates how the distributive property allows us to break down a multiplication of a sum into individual multiplications. By applying the distributive property, we can simplify complex expressions and make calculations easier.
The distributive property is not limited to multiplying numbers. It can also be applied to algebraic expressions. For example, if we have the expression 2(x + y), we can apply the distributive property to get 2x + 2y.
In conclusion, the distributive property is a powerful mathematical tool that is introduced to students in grade 7. It allows for the simplification of expressions by distributing multiplication to each term within a sum. By understanding and applying this property, students can solve equations and simplify algebraic expressions more efficiently.
What are distributive property in real life?
The distributive property is a mathematical concept that is extremely useful in real life situations. It allows us to simplify complex calculations and solve problems more efficiently.
One prime example of the distributive property in action is when we go shopping. Imagine you want to buy 3 shirts that cost $10 each and 2 pairs of jeans that cost $20 each. Instead of individually calculating the cost of each item and adding them up, we can use the distributive property to simplify the process.
Using the distributive property, we can multiply the cost of each item by the quantity we want and then add the results together. In this case, we can calculate (3 x $10) + (2 x $20). This simplifies to $30 + $40, which equals to $70. So, the total cost of the shirts and jeans is $70.
Another practical application of the distributive property is in the area of gardening. Let's say you have a rectangular garden that measures 8 meters in length and 5 meters in width. Now, imagine you want to add a pathway around the garden. The pathway will have a uniform width of 1 meter.
Using the distributive property, we can calculate the total area of the garden plus the pathway. We can do this by multiplying the length of each side by the sum of their corresponding widths. In this case, the sum of the widths is 8 + 2(1) + 5 + 2(1), which simplifies to 8 + 2 + 5 + 2. This equals to 17 meters. Therefore, the total area of the garden and pathway is 17 square meters.
The distributive property is not only limited to shopping or gardening scenarios, but it can be applied to various real life situations. It helps us simplify calculations, save time, and solve problems more efficiently. Understanding and applying the distributive property can greatly benefit us in our daily lives.