Posts

How To Find Ratio: Tutorial, Examples, And More

Image
In this class, we going to focus on providing information about how to find ratios.

The term ratio can be described as a mathematical expressions that compare two or more quantities and numbers.

Ratio can compare absolute amounts and quantities, and can also be used to compare portions of a larger whole. Ratios can be written and calculated in fractions and in percentages.

However, the basic principles governing the use of ratios are universally the same.

Uses Of Ratios
Ratios can be used in both real world and in school settings to compare the differences between two or more quantities.

The simplest form of ratio compare only two numbers or quantities.

However, ratios can also be used to compare more than 3 quantities and numbers.

For example:

In a basket containing different types of vegetables and fruits such as spinach, apricot, cabbage, carrot, avocado, apple, and oranges. All these can be expressed in form of a ratio.

Ratio is only used when two or more numbers and quantities ar…

Distributive Property Tutorial And Worked Problems

Image
In this guide, you are going to learn how to solve problems of distributive property.




Table Of Contents What Is The Distributive Property? In math, a distributive property is simply dividing sum or difference in a parenthesis into parts, and then multiplying or dividing every summand or subtrahend separately with the given factor. Distributive property is also known as Distributive low of addition or subtraction.
Let's take an example: a(b+c)
From the above example, b+c is a sum that can be broken down into two summands, while a is the factor that can be distributed into and c separately.
In practice:
a(b+c) = ab + ac

Distributive property Problems Example 1 Evaluate 4(4+3)
Answer As earlier explained, the above example shows that the two letters in the bracket need to be multiplied with the number that is outside of the bracket, which means we are going to distribute the multiplication of 4 between the two addends (4 and 3)
In practice:  4(4+3) = 4(4) + 4(3)              = 16 +…

Distributive Property Of Addition Over Multiplication: Tutorial And Examples

Image
In this guide, you are going to learn the concept of distributive property of addition over multiplication.

Overview When you start dealing with mathematical operations that involve algebra expressions and equations, you will begin to come across complex mathematical operations that can make your brain ache. However, with distributive property, it is possible to solve these complex mathematical expressions and equations easier.

What Is The Distributive Property? In math, a distributive property is simply dividing sum or difference in a parenthesis into parts, and then multiplying or dividing every summand or subtrahend separately with the given factor. Distributive property is also known as Distributive low of addition or subtraction.
Let's take an example: a(b+c)
From the above example, b+c is a sum that can be broken down into two summands, while a is the factor that can be distributed into b and c separately.
In practice:
a(b+c) = ab + ac
What Is Associative Property Of Additio…

Distributive Property With Variables And Fractions: Tutorial And Examples

Image
What is the distributive property? In math, a distributive property is simply separating addends or subtrahends in a parenthesis into parts, and then multiplying or dividing every addend or subtrahend separately with the given factor outside of the parenthesis.

In mathematics, variables are symbols which represent an arbitrary value in arithmetic expression or equation. Variables can change from one value to another. Examples of variables are x, y, a, b, and so on.

Distributive Property With Variables Example 1 Evaluate x(2+3y+3)
Answer x(2+3y+3) = 2x+3xy+3x
Collect like terms
x(2+3y+3) = 2x+3x+3xy                    = 5x+3xy Example 2 Evaluate y(2+4+5y)  Answer y(2+4+5y) = 2y+4y+5y^2
Collect like terms y(2+4+5y) = 2y+4y+5y^2                    = 6y + 5y^2
Distributive Property With Variables And Fractions Example 1  4/8(y+16)
Answer 4/8(y+16) = 4/8y+16/8                   = 4/8y + 2

Example 2 Evaluate 1/x(1/2+2/3)
Answer
The above example can be operated by distributing 1/x to each o…

Distributive Property Of Division: Tutorial, Examples, And More

Image
Assuming, you are asked to divide 448 by 4. According to the distributive property of division, 448 can be broken down into two or more smaller parts in order to make the operation easier.

In practice:

448 = 400 + 40 + 8

And also:

448/4 = 400/4 + 40/4 + 8/4
112 = 100 + 10 + 2
112 = 112

From above the example, you can understand that it is much more easier to divide 400, 40, and 8 than directly dividing  448 by 4.

Let's look at another example:

Divide 192 by 6

In this example of division, you can break down 192 into smaller parts as follows: 60, 60, 60 and 12, thus making the division much more easier.

Let's do this in practice:

192 = 60 + 60 + 60 + 12

Using distributive property of division

192/6 = 60/6+60/6+60/6+12/6
           = 10+10+10+2
           = 32
More Examples Of Distributive Property Of Division
Example 1Divide 921 by 3
Answer921 = 900 + 21
Using distributive property of division
921/3 = 900/3 + 21/3           = 300 + 7           = 307
Example 2Divide 80 by 16
Answer80 = 32 + 32 …

Distributive Property Of Multiplication: Tutorial, Examples, And More

Image
Overview If you are asked to multiply 7 and 17, and you are told not to use a calculator. If you are not good enough in mathematics, you may spend the whole day trying to find an answer to this problem. That is why where the distributive property of multiplication comes into place. With distributive property, you can split a large number into smaller parts for easy operation.

Let's explain this in practice:

We know that,

17 = 5+5+7

But, we are asked to multiply 17 by 7

Therefore:

7(17) = 7(5+5+7)
          = 7(5) + 7(5) + 7(7)
          = 35 + 35 + 49
          = 119
As you can see, distributing 17 into 3 smaller parts and multiplying the addends separately with 7 makes the operation much more easier than multiplying 17 with 7 directly. This is called the distributive property of multiplication.

What Is A Distributive Property Of Multiplication?
The distributive property of multiplication states that when a factor ( number or variable) is multiplied by the sum of two variables or…

FAQ: What Is The Distributive Property

Image
OverviewWhat is the distributive property? In math, a distributive property is simply separating addends or subtrahends in a parenthesis into parts, and then multiplying or dividing every addend or subtrahend separately with the given factor outside of the parenthesis.

What is the distributive law in algebra? The distributive law in algebra is the law relating to multiplication, division, addition, and subtraction. It can be represented for addition as follow: a(b+c) = ab + ac. This shows that the monomial factor is distributed between the two summands of the binomial factor b+c, resulting in the product ab + a.

What is a formula for distributive property? The formula for distributive property are:
For addition: a(b+c) = ab + ac For subtraction: a(b-c) = ab - ac
How do you do the distributive property step by step?
i. First, you need to multiply a number or variable outside of the bracket by each number or variable in the bracket.
ii. Combine the like terms.
iii. Solve and simplify t…