How To Find Ratio: Tutorial, Examples, And More

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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 Of Multiplication: Tutorial, Examples, And More

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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 numbers in parenthesis,  the number or variable that is outside the parenthesis can be distributed to the different summands by multiplying each of the summands separately, then adding the resulting products together.

In general, the distributive property of multiplication is given by:

     a(b+c) = ab +ac
            OR
     (a+b)(c+d) = ac +ad+bc+bd

Examples Of Distributive Property Of Multiplication


Example 1

Evaluate x(2+3)

Answer

According to the distributive property of multiplication, we going to multiply x and 2, and then x and 3. Finally, we add the resulting products.

In practice:

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

Example 2


Evaluate 6(4+5)

Answer

6(4+5) = 6(4) + 6(5)
            = 24 + 30
           = 54

Example 3


Evaluate (x+y)(2+y)

Answer


This type of problem involves the second formula for the distributive property of multiplication, which we mentioned above.

Therefore:

     (x+y)(2+y) = x(2)+x(y)+y(2)+y(y)
                        = 2x+xy+2y+y2
       

Conclusion                 

Hope this guide helps you in understanding the distributive property of multiplication.
We would love listening to your view about the multiplication property. So do write us in the comment section below.

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