Dividing Decimals

Introduction to Dividing Decimals

Before knowing the division of decimals ,first let us know what are decimals. Any proper fraction or improper fraction can be expressed in terms of decimals. The part of the fraction which is obtained when the numerator of the fraction is divided by the denominator of the fraction is expressed as decimals.

You may also get some useful information on perimeter of a rectangle
Any decimal number has ten as its base. Example : 5/10 = 0.2.
Now Dividing Decimals can be explained in two ways.
1) by dividing a decimal number by a whole number
2) by dividing a decimal number by a decimal number

Example for Dividing Decimals by Whole Numbers

Dividing Decimals by whole numbers can be explained by the following example.
In order to divide the given decimal number by the given whole number we have 2 steps to follow:
Step 1 : Use Long Division method to divide the given decimal number ignoring the decimal point.
Step 2 :After that put the decimal point in the same place value as the dividend has before.
Get useful tips on Division of fractions

A word problem on algebra linear equations

Equations play a crucial role in modern mathematics and form the basis for mathematical modeling of numerous phenomena and processes in science and engineering.

The international scientific-educational website linear equations explained World presents extensive information on solutions to various classes of ordinary differential, partial differential, integral, functional, and other mathematical equations. It also outlines a thing that solves algebra equations, includes interesting articles, gives links to mathematical websites and software packages, lists useful handbooks and monographs, and refers to scientific publishers, journals, etc. The website includes a dynamic section Equation Archive which allows authors to quickly publish their equations (differential, integral, and other) and also exact solutions, first integrals, and transformations.

Let's see a word problem from 8th grade word problems worksheets.

Question:-

Jack is thinking two positive numbers.one of them is 4 more than the other and the sum of their squares is 208.what are the two numbers?

Answer:-

Let one number be x.

the other number is 4 more ,x+4

given sum of the squares =208

x²+(x+4)²=208

x²+x²+8x+16=208

expanding the 2nd term

2x²+8x+16=208

dividing by 2 as it is common for all terms

x²+4x+8=104

subtract 104 on both sides

x²+4x-96=0

x²+12x-8x-96=0

x(x+12)-8(x+12)=0

(x+12)(x-8)=0

x=-12 or x=8

here we want only positive number ,so x=8

and the numbers are 8 and 12

Problem on pythagoras theorem

From geometry terms and definitions we know that,
Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle in British English). It states:

In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)
Let's see a heights and distances trigonometry problems

Applying Pythagoras theorem to ΔACF

AF=√(9+9)=√18=√(2*9)=3√2






Now in ΔBAF

BF² = AB²+AF²

= 3²+(3√2)²

= 9+18
BF²=27

BF=√(9*3)= 3√3 units

Similar way we can also find length of base of isosceles triangle

Factors of a Number:

Topic:-Factors of a Number:

Factoring is like taking a number apart. It means to express a number as the product of its factors. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite).
This algebra help gives us few examples as well.

•A factor of a number N is a number which divides N exactly.

•Example: the factors of 12 are 1,2,3,4,6,and 12

•Note that every number has itself and 1 as its factors.

•When a number is greater than 1 and has just itself and 1 as factors, the number is prime.
Multiples of a Number:

•A number which is the product of a given number and another factor.

•Example: 12 is a multiple of each of the numbers 1,2,3,4, and 6
Example:
5 x 6 = 30
The numbers that are multiplied 5 and 6 are called factors.
The product formed by multiplying the factors that is 30 is called multiple.
30 is a multiple of 6 and 5
Example: Which number is a factor of 16?
_ 8
_ 5
_ 9
Answer: 8

For more help on this ,you can reply me.

How to convert Fahrenheit to Celcius

Topic:-Temperature
Celsius (also known as centigrade) is a temperature scale that is named after the Swedish astronomer Anders Celsius (1701–1744), who developed a similar temperature scale two years before his death. The degree Celsius (°C) can refer to a specific temperature on the Celsius scale as well as serve as a unit increment to indicate a temperature interval (a difference between two temperatures or an uncertainty).

Question:-
The temperature in Celcius degrees 'C' can be changed to Fahrenheit degrees 'F' by the formula F = (1/5)*(9C+160). Make C the subject of the formula, then find C when F = 212 degrees.
Answer:-
F = (1/5)*(9C+160)
Multiply both sides with 5, we get
5F = 5*1/5*(9C+160)
5F = 9C+160
5F-160 = 9C
5(F-32) = 9C
C = 5/9*(F-32)
If F = 212 degrees
Substitute F value in above equation, we get
C = 5/9*(212-32)
C = 5/9*180
C = 5*20
C = 100 degrees.

Topic:-Supplementary Angles

Two Angles are Supplementary if they add up to 180 degrees.

They don't have to be together to be supplementary, just so long as the total is 180 degrees.

This math help can help you with a question like

Question:-

What is supplementary angles ,explain with an example ?

Answer:-

two angles are supplementary ,if they add up to 180°
Example-1
Here in the following diagram you can see ιA and ιB are supplemtary angles ,because

ιA+ιB=140°+40°

  = 180°

180° means a straight angle.











So ,ιA and ιB are supplementary angles .

Example 2

Here these two angles also supplementary


ιA+ιB=120°+60°

 = 180°

problem on time and speed

Topic :- Time and Speed


Time problems and speed problems are there in both math and Physics .Here is a simple math problem which help you to understand to how to find time when speed value is given . This problem solved
by using distance formula ,So first we find the distance based on which we get the time .

Question:-
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
Answer:-
Let the time taken by the second cyclist to catch up the first be 'x' hours.

Then the time taken by the first to reach than the point wil be (x+3) hours.

Speed of the second cyclist=10 miles/hour.

So the distance covered =speed*time
= 10 * x = 10x miles

Speed of the first cyclist = 6 miles/hour

So distance covered = 6(x+3)
=(6x+18) miles

Now distnce covered by both are same .

So

10x = 6x+18
-6x   -6x
------------------
4x  =  18

4x     18
---- = ----
4      4

   18     9        1
x= ---- = ---- = 4----
   4     2         2

So the time taken by the second
cyclist = 4 hours 30 minutes

I hope you liked it ,For math help ,you can reply me