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 Addition Over Multiplication: Tutorial And Examples

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


Associative property of addition states that numbers or variables can be rearranged, and still give the same result. This type of relationship is called associative property.

Let look at an example: 3(2+4) and (2+4)3 are associative. Also, 4+2 and 2+4 are associative. But, division and subtraction are not associative. For example: 2-4 and 4-2 are not associative, since when you subtract 2 from 4 is not the same with the result when you subtract 4 from 2.

More Examples Of Distributive Property Of Addition Over Multiplication

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 + 12
             = 28

Example 2


Evaluate y(3+5)

Answer

 y(3+5) = y(3)+y(5)
              = 3y+5y
              = 8y

Example 3

Evaluate 5(x+3+2x)

Answer

    5(x+3+2x) = 5x +15 + 10x
                       = 5x + 10x + 15
                      = 15x + 15

Example 4

Evaluate 8(3+2)

Answer

     8(3+2) = 8(3)+8(2)
                  = 24 + 16
                  = 40


Example 5

Evaluate y(3+5)

Answer

     y(3+5) = y(3)+y(5)
                  = 3y + 5y
                  = 8y

Conclusion

As you can see operation involving distributive property of addition over multiplication is a little bit tricky, but with time and practice, you can become familiar.

Hope this guide gives you an excellent help in understanding the distributive property of addition over multiplication.

We would like listening to your view about distributive property of addition over multiplication. So do write to us in the comment section below.
 

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