Posts

Showing posts from December, 2019

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…

Distributive Property: Tutorials, Examples, Tips, And More

Image
In math, a distributive property is simply dividing summands or minuends 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.
Definition Of Distributive Property 1. 5(2+4) = 5(2) + 5(4)                 = 10 + 20                 = 30 2. 3(4-2) = 3(4) + 3(2)                = 12 + 6                = 18
Consider the above two examples, to multiply a sum or difference by the given factor outside of the parenthesis, each addend or minuend is multiplied by this factor, and then the resulting products are added or subtracted.

I know this may come into your mind: why just add or subtract the numbers in the parenthesis, and then multiply the final result with the given factor. Yeah, that is an official way of doing it, following order of operations. But, what if you are dealing with variables such as x and y, is that going to be possible? Tha…

How To Logout Of Facebook Safely

Image
This is going to guide you on how to safely log out of Facebook from your computers and mobile devices.

How To Logout of Facebook From Your Computer 1. Login to your Facebook account using a browser.

2. On the homepage of your Facebook profile, navigate to the top right bar menus, and click on the blue drop-down menu.

 3. When the submenus popup or appear from the drop-down menu, navigate to the logout submenu and click on it.


This is how to logout of Facebook safely.

How To Logout Of All Sessions 1. To log out from all devices, go back and click on the blue dropdown menu.

2. But this time don't click on logout, when the submenus popup, Navigate to the submenu settings and click on it.


3. Then click on security and log in on the top left corner of your Facebook profile.


 4. Navigate to the bottom left corner and click on see more.


5. Then click on logout of all sessions.


6. Click on logout of all sessions to confirm. This log you out of all sessions even if you open your Facebook a…

Dividing Whole Numbers By Fractions Word Problems

Image
Examples Of Word Problems Involving Division Of Whole Numbers By Fractions
Example 1
A Primary school teacher wants to dash to each student 1/2 of a slice of pizza. If the teacher has 8 slices of pizza, how many students will the teacher be able to hand out the piazza to?

Answer
Total number of slices of pizza = 8
Share of each student in 8 pizzas = 1/2
Total number of students =?

From the above statement:

The total number of slices of pizza is called a whole number, while the share of each student in the 8 pizzas is called a fraction.

Now, divide 8 by 1/2

8 ➗ 1/2

Take the reciprocal of the divisor ÷ 1/2

The reciprocal of ➗ 1/2 = × 2/1

When you take the reciprocal of a divisor, the division also changes to multiplication.

Now, multiply 8 by 2/1

Therefore:

8 × 2/1 = 16

Therefore, the teacher can share half a slice of pizza to 16 students.

Example 2
John went to farm to plant soybeans. To plant a row of soybeans, John needs 1/5 square feet. In the farm, there are only 20 square feet. H…

FAQ: How Many Weeks In A Month

Image
How Many Weeks In A Month
How to calculate the number of weeks in a month
Not all months have equal weeks and days. Some months have 28, 29, 30 and 31 days. And hence, the number weeks in them also differ.

How to calculate the number of weeks in months with 31 days: 
To do this, we need to divide the total days in a month with the total number of days in a week, that is 7.

Therefore:

31 ➗ 7 = 4.429
           = 4 weeks app.

Now, multiply 4 by 7 to find the remaining days

Therefore, 4 × 7 = 28 days

  Now, substract 28 days from 31 days

       31 - 28 = 3
Therefore, there are 4 weeks and 3 days in a months with 31 days.

How to calculate the number of weeks in months with 30 days:
Divide 30 days with 1 week

     30 ➗ 7 = 4.2857
                 = 4 weeks app.
Now, multiply 4 by 7

          4× 7 = 28

Substract 28 days from 30 days to get the remaining days.

Therefore,  30 days - 28 days = 2 days

Therefore, there are 4 weeks and 2 days in months with 30 days.

How to calculate the number o…

FAQ: How Many Weeks In A Year

Image
How many weeks in a year
How to calculate the number of weeks in a year
One common year calendar has 365 days in it.

But, 1 week = 7 days

Then, convert 365 days to week by dividing the total number of days in a common year calendar by 7.

Therefore,

365 ➗  7 = 52.143
              = 52 appr.
              = 52 weeks

But, 52 × 7 = 364

 then, 365 - 364 = 1

Therefore, there are 52 weeks and 1 day in a common year calendar.

 Number of weeks in a leap year

There are 3566 days in a leap year calendar, with February having 29 days.

Calculations

1 leap year = 366 days

Then, divide 366 days by 7 to obtain the number of weeks in a leap year calendar.

Therefore,

2 leap year = 366 ➗ 7
                     = 52.285
                    = 52 weeks appr.

Now, multiply 52 by 7

Therefore,  52 × 7 = 364

Now, subtract 364 days from 366 days
Therefore, ( 366 - 364 ) days = 2 days

Therefore, in a leap year calendar there are 52 weeks 2 days.

Related: weeks in month

Frequently Asked Questions About How Many …

How To Divide Fractions Into Whole Numbers

Image
Overview
Assuming you are given a half cake to share between you and your friend.
Quantity of cake = 1/2 Number of people = 2
In arithmetic, the quantity of cake is called a fraction, while the number of people to receive the share when the half cake is divided is called a whole number.
What are Whole Numbers?
Whole numbers are natural or basic counting numbers, which include positive integers from 0 onwards.
What Are Fractions? Fraction is a part of a whole or ratio of two numbers, the numerator and denominator, with the numerator written above the denominator.
How To Divide Fractions Into Whole Numbers
When dividing a fraction into the whole number, find the whole number and multiply it with the bottom number of the fraction.
For example, in the above case, if we wont to find out how many shares each one of you will get, we simply multiply 2 and the number below 1, that is 2.
In practice,
1/2 2 = 1/2×  1/2= 1/4
Therefore, each one of you is going to get off the half cake.
Example 1
Divide 2/3 by