Monday, April 29, 2013

What are Edges in Math

Introduction to edges in math:

In math, what are edges?. The edges are created when two surfaces of objects are intersected. The two-dimensional and three-dimensional objects have one or more edges. We can also refer the edges as boundary of objects or sides of shape. For example the cube shape contains 12 edges by surface intersection.


Explanation for edges in math


Edges in math:

Edges are considered as connector that is connect the one-dimensional line segment and two zero dimensional objects in math. The edges form the closed figure as polygon.

What are lateral edges?

The solid’s lateral faces are created by edges is called as lateral edges. For example consider the pentagonal prism. It has five lateral faces and these faces are connected by five lateral edges.

What are vertices?

The vertices are created by intersection of two edges and it is also called as corner of the shape. For example if the object has six edges means the number of vertices are six. The edges of shape are used for identify the name of shape.

Please express your views of this topic Area of a Hexagon Formula by commenting on blog.

More about edges in math

Examples for edges in math:

What are edges in square and rectangle?

The square and rectangle are considered as quadrilateral. The square has equal length for each sides. The number of sides in square and rectangle is four and these sides are intersect and creates a four edges.

Edges in triangle:

The equilateral triangle has three sides. These three sides are intersected and create a the three edges.

Edges in pentagon:

The five sided polygon is called as pentagon and these sides are connected as edges. So the pentagon has five edges.

Edges in hexagon:

The hexagon is regular polygon and it has six edges and six vertices.

We can find the area and volume of shape by using edges with respect to formula and also find the angles of each vertex is estimated.

Sunday, April 28, 2013

Help in Math Now

Introduction to help in math now:

Online Tutoring is one of the best way for getting help in various subjects. Tutor Vista is the best choice for getting help not only in math but also in English and Science.

In this article of help in math now, several problems related to various branches of mathematics are given with their respective answer. In addition, several practice problems are given with answer key which helps for better understanding.


Get help in math now through examples:


Example 1:

Find the Mean of the given data set: { 8, 9, 21, 12 }

Solution:

Mean   =  ( 8 + 9 + 21 + 12 ) / 4

=  50 / 4

= 12.5

Answer: Mean  = 12.5

Example 2:

Find the volume of cylinder given the radius is 23 cm and 42 cm.

Solution:

Volume of cylinder = `pi` r2 h cubic units.

= (3.14) * 232 * 42

=  3.14 * 529 * 42

=  69764.52 cm3

Answer: Volume of cylinder = 69764.52 cm3

Example 3:

Find the area of the square with the side length of 12 cm.

Solution:

Area of square  =  ( a ) 2

= ( 9 )2

= 12 * 12

= 144 cm^2

Answer: Area of square =  144 cm^2

Example 4:

Find the area of a triangle through base of 4 m and a height of 2 m.

Solution:

Area of a triangle = ½ b h

= ½ ( 4 ) ( 2 )

= 0.5 * 4 * 2

= 4 m2

Answer: Area of triangle = 4 m2

Example 5:

Solve :  3 ( x + 3 ) = 30

Solution:

3( x + 3 )  =  30

x + ( 3 x 3 )  =  30

3x + 9  =  30

3x  =  21

x  =  7

Answer:  x =  7

Example 6:

Find lateral surface area of cone with radius 10 cm and slant height 20 cm.

Solution:

Given:  Radius r =10 cm

Slant height l = 20 cm

Lateral surface area  = `pi` r l   square units.

= 3.14 x 10 x 20

= 628 cm^2

Answer: Lateral surface area = 628 cm^2



Example 7:

Find the range of the data set { 5, 12, 43, 25, 41 }

Solution:

Here, The maximum value is 43

The minimum value is 5

Range  =  Maximum value – Minimum value

=  43 – 5

= 38

Answer: Range  = 38

Having problem with is the square root of 5 a rational number keep reading my upcoming posts, i will try to help you.

Get help in math now through practice problems:


1) Find the range of the data set { 25, 55, 29, 32, 19 }

Answer: 36

2) Find the area of the square with the side length of 17 cm.

Answer: 289 cm^2

3) Find the Mean of the given data set: { 2, 7, 8, 11 }

Answer: 7

4) Find lateral surface area of cone with radius 4 cm and slant height 12 cm.

Answer: 150.72 cm^2

Thursday, April 25, 2013

How 2 Do Math Work

INTRODUCTION TO HOW 2 DO MATH WORK

How 2 do math work is nothing but doing math problems. The main importance of how 2 do math work is the sequence of steps we follow to solve the math problem. Solve math problems relates important role in our daily life. Everyone should know the importance of math and how 2 do math work. How 2 do math work depends on the topics of the math work we do. Every topic has different steps to do the problem. Some topics follow formula method. Problems of different topics have many logic's. Many chapters undergoes math. All the problems of math cannot be solved by same way.  Every problem has to be solved by using different methods, different steps, etc.

Please express your views of this topic Perimeter of a Square Formula by commenting on blog.

PROBLEMS ON HOW 2 DO MATH WORK


1. Find the area and perimeter of a square of the side a = 9cm

Solution

This problem is based on formula method.

The side of the square = 9 cm

Formula to calculate the area of the square = a^2 or (side * side)

Area of the square = 9 * 9

= 81 square centimeter.

Formula to calculate the perimeter of the square is 4* side

Perimeter of the given square = 4 * 9

= 36 cm

2. How 2 do math work of (5*7) + 9 – 8 / 2 *2 + 2

Solution

Here we work out this problem by using PEMDAS rule

35 + 9 – 8 / 2 * 2 + 2 ------------(Parenthesis first)

35 + 9 – 8 / 4 + 2------------------(No exponents so net multiplication)

35 + 9 – 2 +2 ---------------------(Division)

44-4---------------------------------(Addition)

40

3. How 2 do math work of Multiplication of 7.8 x 3.2

Solution

7.8

3.2 x

----------

156

234   +

-------------

2 4.96

--------------

The process is first multiply the once digit and then multiply the tens digit. After the multiplication add at last and count the number of digits after decimal point in the question and place the decimal digit counting from last digit. This is the process of how 2 do math work of this multiplication.

Understanding 7th grade math problems with answers is always challenging for me but thanks to all math help websites to help me out.

Practice problems on how 2 do math work

Multiply 78 * 51
Add 84569 + 45213
Divide 235 / 5
Answer

3978
129782
47

Math Term Relation

Introduction for math term relation:

When comparing (relate) the objects (human beings) the concept of relation becomes very important. In a similar fashion we connect two sets (set of objects) by means of relation.

Let A = {2, 5, 7} and B = {4, 6, 8}. Consider a subset of the Cartesian product. A × B = {(2,4), (2,6, (2,8), (5,6), (5,8, (7,8)} If R denotes the relation “is less than”, then 2R4 (since 2 < 4), 2R6, 2R8, 5R6, 5R8, 7R8. This gives R = {(2,4), (2,6, (2,8), (5,6), (5,8, (7,8)}. The relation is R from A to B. The math term relation example problems and practice problems are given below.

I like to share this Graphing Ordered Pairs with you all through my article.

Example problems for math term relation:


Example problem 1:

Give examples of relations of the following type

(i) Reflexive and transitive but not symmetric

(ii) Neither reflexive nor symmetric but transitive

(iii) Nither reflexive nor transitive but symmetric.

Solution:

(i) The given relation “a divisor of ” is reflexive and transitive but not symmetric on the set of M natural numbers.

(ii) Consider the given relation “is greater than” on N. Since a > a is not true, the relation is not reflexive. If a > b, then b R a is not true. The above example relation is transitive.

(iii) Consider the relation R = {(2,3), (3,2),(3,4),(4,3)} on the set A = {2,3,4}. Evidently R is not reflexive as (2,2), (3,3), (4,4) are not in R. Since (2,3) and (3,2) are in R, it is symmetric. It is not transitive as (2,3), (3,2) ? R, but (2,2) ? R.

Example problem 2:

Let M represents the set of integers. S on I is defined as a S b if a – b is an even integer. Prove that S is an equivalence relation.

Solution:

By definition a S b if a – b is an even integer. Since a – a = 0 is even, we have a S a. Hence S is reflexive. Let a S b so that a – b is an even integer.

But then b – a = – (a – b) is also even and so b R a. Hence S is symmetric. Let a S b, and b S c so that a – b and b – c are even integers. Then (a – c) = (a – b) + (b – c) is also an even integer. Hence S is transitive so that S is an equivalence relation.

These example problems are very helpful to study of math term relation.

Having problem with college level math help keep reading my upcoming posts, i will try to help you.

Practice problems for math term relation:


Practice problem 1:

Given that A = {6, 7, 8, 9, 10} and B = {2, 3, 4, 5}. Write down all ordered pairs (a, b) such that a is divisible by b and hence write down the set of ordered pairs given the relation ‘is a multiple of’ from A to B.

Answer: (6,2), (6,3), (8,2), (8,4), (9,3), (10,2), (10,5)

Practice problem 2:

In the set N of natural numbers, examine the kinds of relation given below

(i) If a^2 + b^2 is a perfect square, a R b

(ii) if a^2 = b, a R b.

Answer: (i) symmetric (ii) not a relation

Wednesday, April 24, 2013

Studying For Math

Introduction to studying math problems:

Mathematics is the studying of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. In this article we shall studying math problem with detailed solution. (Source: wikipedia)


Studying for math example problems


Example:

The diameter of a cylinder base is 18 cm and the height of the cylinder is 13 cm. Find the solid cylinder surface area.

Solution:

Radius of cylinder = 9 cm

Surface area of cylinder = 2πr (r + h)

=2x`22/7` x9x (9+13)

= 2x`22/7` x9x (22)

=2x3.142x198

=1244cm^2

Example:

Isolate the variable x in the equation

8x + 2y = 16.

Solution:

The following steps are used to isolate variable x in the given equation

Subtracting the value  2y from both sides of the equation

8x + 2y - 2y = 16 - 2y

Simplify the above equation it gives the equation as:

8x = 16 - 2y

Now to divide the equation both side by 8both sides of the equation
8x / 8 = (16 - 4y) / 8

x = (16 - 4y) / 8

Now we get the isolated x.

Example:

Find the volume of a cylinder the area of the base of the cylinder is 18 cm^2 and the height of the cylinder is 12 cm.

Solution:

Volume of cylinder = Area of base of cylinder x height of cylinder

= 18 cm^2 x 12 cm

= 216 cm^3

Problem:

Find the triangle perimeters, whose length of a triangle sides are 22 cm, 35 cm and 50 cm,

Solution:

Perimeter of triangle formula = a+ b+ c

a=22

b=35

c=50

Perimeter of triangle = 22 + 35 + 50 = 107

Therefore perimeter of triangle = 107

Is this topic Perimeter and Area of Similar Figures hard for you? Watch out for my coming posts.

Studying for math practice problems


Problem:

Find the volume of a cylinder the area of the base of the cylinder is 20 cm^2 and the height of the cylinder is 11 cm.

Answer:

220 cm^3

Problem:

Isolate the variable x in equation

6x + 4y = 12.

Answer:

x = (12 - 4y) / 8

Monday, April 22, 2013

Math Radicals Solver

Introduction to math radicals solver:

Radicals is a form of symbol which is used in the mathematics. It is shown that the radical  symbol as  root "v". The number inside the radical symbol which is called as the radicand of the radical value, for example if the given value is square root of `sqrtx` . The x is called as the radicand which is the number inside the radical symbol root "v". There are more number of rooting methods available depending upon the value we have. The roots are square root `sqrtx` , cube root `root(3)(x)` , Fourth root `root(4)(x)` this up to nth root `root(n)(x)` . Here we are going to see about the math radicals solver in different methods and the solved example problems on it.

I like to share this Rules of Radicals with you all through my article.

Math radicals solver - Some properties:


Radicals form - Representations:

Function `a^(1/n)` :

The radical exponent  `a^(1/n) = root(n)(a)`

If n has odd value then,

If a is positive value then the function  `a^(1/n)` is positive.

If a is negative value then the function `a^(1/n)` is negative.

If a is zero value then the function `a^(1/n)` is also zero

If n has even value then,

If a is positive value then the function `a^(1/n)` is positive.

If a is negative value then the function `a^(1/n)` is not a real number.

If a is zero value then the function`a^(1/n)` is also zero

Radical Expression:

`x^(1/n) = root(n)(x)`    it is n root of x value.

Relation between expression and Radical:

`(x^(1/n))^n`   is the relation between the expression and radical .

Radical Exponent of Product:

`root(n)(axxb) = (axxb)^(1/n) = root(n)(a)xxroot(n)(b) =a^(1/n) xx b^(1/n)`

Radical for a quotient:

`root(n)(a/b) = (a/b)^(1/n) = (root(n)(a))/(root(n)(b)) = a^(1/n)/b^(1/n)`

Radical of a fraction:

`msqrta^n = a^(n/m) `

I have recently faced lot of problem while learning Properties of Radicals, But thank to online resources of math which helped me to learn myself easily on net.

Math radicals Solver Example Problems:


Math radicals Solver - Problem 1:

Solve `root(4)(81)`

Solution:

solve the 4th root for the given function.

`root(4)(81)` = `(9^2)^(1/4)`

= `9^(2/4)`

=` 9^(1/2)`

= 3

Math radicals Solver - Problem 2:

Solve radical form for `sqrt645`

Solution:

The root value 645 is nearly equal to the square values between 25 and 26, because 252 = 625 and 262 = 676

Step 1: Divide 645 by 15.

`645 / 25` = 25.8

Step 2: Take average for 25.8 and 25.

` (25.8 +25)/2` =  25.4

Step 3: Divide 645 by 25.4

`645/25.4` = 25.3937008

Step 4: Take average for the 25.3937008 and 25.4

`( 25.3937008 + 25.4)/2 `  =  25.3968504

Step 5: Now check the above result by taking square

25.39685042 = 645.00001

This value is more or less equal to 645

If the value is not equal repeat the step 3 and step 4

Math Rules of Integers

Introduction to math rules of integers:

In mathematics, rules of integer is one interesting topics in number representation. Integer contains a set of numbers in which are positive integer, negative integer and zero. It contains complete entity or unit. In integer, there are no fractional parts. Integer performs different arithmetic operations such as addition, subtraction, multiplication and division. Let us solve some example problems using math rules of integers.

Example for integers:

287, -547, 0, 31, etc,

I like to share this Positive and Negative Integers with you all through my article.

Different math rules of integers:


Different math rules of integers are,

Rules of Integer Addition:

In addition, we use the same sign. If we add the same sign integer values then we get the same sign.

Positive integer + Positive integer    =   Positive integer

Negative integer + Negative integer  =    Negative integer

Otherwise, we use different signs. We subtract the different sign integer values then we get the largest absolute value.

Positive integer + Negative integer

Negative integer + Positive integer

Rules of Integer Subtraction:

In subtraction, we keep the first integer as same, change the subtraction sign to addition and change the second integers sign into its opposite then we follow the rule for integer addition.

Rules of Integer multiplication:

Like addition rule,

Positive integer  ×  Positive integer     =   Positive integer

Negative integer  ×  Negative integer   =  Positive integer

Positive integer   × Negative integer    =  Negative integer

Negative integer  ×  Positive integer    =  Negative integer

Rules of Integer Division:

Positive integer  ÷  Positive integer  =  Positive integer

Negative integer  ÷  Negative integer  =  Positive integer

Positive integer   ÷ Negative integer  =  Negative integer

Negative integer  ÷  Positive integer  =  Negative integer

Having problem with Adding Integers keep reading my upcoming posts, i will try to help you.

Example problems using math rules of integers:


Some example problems using math rules of integers are,

Example 1:

Using integer addition rule in math, solve the given integers

450 + 257

Solution:

Given two integer numbers are

450 + 257

Both are two positive integers so, the result is also a positive numbers

Here we add 450 into 257, and then we get the result

450 + 257

707

Solution to the given two integers is 707.

Example 2:

Using integer subtraction rule in math, solve the given integers

897 – 456

Solution:

Given two integer numbers are

897 – 456

Both are two positive integers so, the result is also a positive numbers

Here we subtract 897 into 456, and then we get the result

897 – 456

441

Solution to the given two integers is 441.

Example 3:

Using integer multiplication rule in math, solve the given integers

754 × 12

Solution:

Given two integer numbers are

754 × 12

Both are two positive integers so, the result is also a positive numbers

Here we multiply 754 into 12, and then we get the result

754 × 12

9048

Solution to the given two integers is 9048.

Example 4:

Using integer division rule in math, solve the given integers

45870 ÷ 30

Solution:

Given two integer numbers are

45870 ÷ 30

Both are two positive integers so, the result is also a positive numbers

Here we divide 45870 by 30, and then we get the result

45870 ÷ 30

1529

Solution to the given two integers is 1529.

Example 5:

Using integer multiplication rule in math, solve the given integers

- 720 × 18

Solution:

Given two integer numbers are

- 720 × 18

Given integer number has both positive integer and negative integer so, the result is a negative numbers

Here we multiply - 720 into 18, and then we get the result

- 720 × 18

- 40

Solution to the given two integers is -40.

Example 6:

Using integer addition rule in math, solve the given integers

- 42 + (- 85)

Solution:

Given two integer numbers are

- 42 + (- 85)

Both are two negative integers so, the result is also a negative numbers

Here we add -42 into -85, and then we get the result

-42 - 85

-127

Solution to the given two integers is -127

Help This Math Problem For Me

Introduction to help with math problem:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences.(Source: From Wikipedia).

In mathematics, step by step explanation is very helpful to understand the problems easily. Now, we are going to get help with some math problems.

Please express your views of this topic How do you Find the Degree of a Polynomial by commenting on blog.

Help some algebra math problems:


Math help-problem 1:

Add Fractions: 1/4 + 1/3

Solution:

The denominators of the given fractions are different. So, the common denominator of 4 and 3 is 12.

To find the corresponding value of numerator, we need to multiply 1/4 by 3 and multiply 1/3 by 4. So, Equivalent fractions of 1/4 and 1/3 are 3/12 and 4/12. Now the denominators are same.

So, (3/12) + (4/12)

Now add the numerators

(3+4)/12 =7/12

So the answer is 7/12.

Math help-problem 2:

Solve for the variable x: (x / 3) + 1 = 16

Solution:

(x / 3) + 1 = 16

Subtract 1 on both sides of the equation

(x / 3) + 1 - 1 = 16 – 1

(x / 3) = 15

Multiply 3 on both sides of the equation

3*(x / 3) = 15*3

x = 45

So, the variable x is 45.

Math help-problem 3:

Find the value of the expression: xy + xz + yz If  x=0, y=1, z=2

Solution:

Substitute the value of x, y and z in the given expression

xy + xz + yz = 0(1) + 0(2) + 1(2)

=0 + 0 +2

=2

So, the answer is 2.

Is this topic percentage change calculation formula hard for you? Watch out for my coming posts.

Help some geometry math problems:


Math help-problem 4:

Find the area of a circle of diameter is 60 cm (use pie = 3.14).

Solution:

The diameter of the circle is 60cm.

Radius = diameter / 2

So, the radius of the circle is 30cm

Area of the circle = pie*r2 = 3.14 × 302 = 2,826 cm2

Math help-problem 5:

Find the area of parallelogram whose base is 7cm and the height is 4cm.

Solution:

Area of the parallelogram = b × h

= 7 cm × 4 cm = 28 cm2

Math help-problem 6:

A triangle has a perimeter of 8cm. If one of the side is 1cm, another one side is 2cm then find the length of the third side?

Solution:

Perimeter of the triangle = addition of all the outer sides.

8cm = 1cm + 2cm + third side

Third side=8cm – 3cm =5cm

So, the third side is 5cm.

Monday, April 15, 2013

Math Calculater

Introduction to math calculator:

In general, calculators are used to perform various operations. Mathematical calculators perform both simple and complex operations. Simple mathematical calculators are used to perform various simple mathematical operations such as addition, subtraction, multiplication, division etc.,
In this article, we are going to discuss about various simple mathematical operations using calculators.

Please express your views of this topic Distributive Property of Multiplication over Addition by commenting on blog.

Addition and Subtraction Calculator:


Examples for addition calculator:

1) 24 + 44 = ?

Step 1: Enter the numbers 24

Step 2: Press the + sign

Step 3: Enter the numbers 44

Step 4: If we press = sign, the result can be obtained as 68.

2) 456 + 214 = ?

Step 1: Enter the numbers 456

Step 2: Press the + sign

Step 3: Enter the numbers 214

Step 4: If we press = sign, the result can be obtained as 670.

Examples for subtraction calculator:

1) 180 - 80 = ?

Step 1: Enter the numbers 180

Step 2: Press the - sign

Step 3: Enter the numbers 80

Step 4: If we press = sign, the result can be obtained as 100.

2) 250 - 149 = ?

Step 1: Enter the numbers 250

Step 2: Press the - sign

Step 3: Enter the numbers 149

Step 4: If we press = sign, the result can be obtained as 101.

Is this topic Simple Interest Calculator hard for you? Watch out for my coming posts.

Multiplication and Division Calculator:


Examples for multiplication:

1) 15  * 20 = ?

Step 1: Enter the numbers 15

Step 2: Press the  *  sign

Step 3: Enter the numbers 20

Step 4: If we press = sign, the result can be obtained as 300.

2) 27  * 29 = ?

Step 1: Enter the numbers 27

Step 2: Press the  *  sign

Step 3: Enter the numbers 29

Step 4: If we press = sign, the result can be obtained as 783.

Examples for Division:

1) 60/ 5 = ?

Step 1: Enter the numbers 60

Step 2: Press the  /   sign

Step 3: Enter the number 5

Step 4: If we press = sign, the result can be obtained as 12.

2) 260 / 8 = ?

Step 1: Enter the numbers 260

Step 2: Press the  /  sign

Step 3: Enter the number 8

Step 4: If we press = sign, the result can be obtained as 32.5.

3) 4298 / 146 = ?

Step 1: Enter the numbers 4298

Step 2: Press the  /  sign

Step 3: Enter the numbers 146

Step 4: If we press = sign, the result can be obtained as 29.4383.

Friday, April 12, 2013

Math Grade 10 Study Guide

Math grade 10 study guide:

      In this article we are going to discuss math grade 10 study guide solving problems. Math grade 10 study guide solving problems are easy to understand and solve. Math grade 10 study guide solving problem involves a lot of  math concepts. The following topics are studied in the 10 grade,

Number systems
Measurements
Algebra
Geometry
Algebraic geometry
Trigonometry
Handling data
The math grade 10 study guide solving problems are given below.

Please express your views of this topic Slope of Parallel Lines by commenting on blog.

Math grade 10 study guide Example problems:


Example 1:

Find the sum of the entire element between 300 and 500 divisible by 11.

Solution:

The first element greater than 300 and divisible by 11 is 308. The last number less than 500 and divisible 11 is 495.

Series is 308 + 319 = … + 495

A = 308, d = 11, l = 495, tn = a+ (n-1) d = 495

308 + (n-1) 11 = 495

n = `(495-308)/11` +1 = 18

sn =` n/2` (a+l)

S18 = `18/2` (308+495) = 7227.

Example 2:

A solid metal cylinder is 20 cm in height and has a radius of 1.5 cm. This is melted down and cast into spheres each of radius 1.5 cm. How many spheres can be cast from the cylinder?

Solution:

Height of the cylinder = 20 cm; Radius of the cylinder = 1.5 cm

Volume of the cylinder = `pi`  * 1.5 * 1.5 * 20 cm3

Radius of the sphere = 1.5 cm

Volume of the sphere cast = `4/3` * `pi` * 1.5 * 1.5 * 1.5 cm3

Number of sphere cast = Volume of the cylinder melted/ Volume of a sphere cast

= `pi` * 1.5 * 1.5 * 20 * `3/ 4` * `pi` * 1.5 * 1.5 * 1.5 = 10

10 spheres can be cast from the cylinder

Example 3:

Simplify `(5x+20)/ (7x+20)`

Solution:

Given expression `(5x+20)/ (7x+20)`

`(5x+20)/ (7x+20)` = `5/7`

The simplify solution is `5/7`

I have recently faced lot of problem while learning math problems for kids online, But thank to online resources of math which helped me to learn myself easily on net.

Math grade 10 study guide Practice problem:


Problem 1: Find the sum of n terms of an AP. whose nth term is an = 5-6n

Solution: 2n -3n2

Problem 2: A metallic sphere 3 cm in diameter is melted and made into 3 smaller spheres.

If the diameters of two of these smaller spheres are 1.5 cm and 2 cm, find the diameter of the third sphere.

Solution: The diameter of the 3rd sphere is 2.5 cm.

Problem 3: Simplify `(3x+9)/ (3x+15)`

Solution: `(x+3)/ (x+5)`

Monday, April 8, 2013

Math How to Divide

Introduction to math how to divide:

In mathematics, especially in elementary arithmetic, division (÷) is the arithmetic operation that is the inverse of multiplication. Teaching division usually leads to the concept of fractions being introduced to students. Unlike addition, subtraction, and multiplication, the set of all integers is not closed under division. Dividing two integers may result in a remainder. In this article we shall discuss about how to do divide in math.(Source: Wikipedia)

I like to share this Matrix Division with you all through my article.

Math how to divide example problem


Division is the process of equal distribution of number or repeated subtraction of same number by several times or is called as division. Zero divide by any number is zero.

Dividend = divisor x quotients + remainder

Example:

Divide 448 by 2

200 + 20 + 4
_____________

2      400 + 40 + 8

400 + 40 + 8
_____________

Now the quotient is 200 + 20 + 4 = 224.

Example:

Divide 668 by 2

300 + 30 + 4
_____________

2     600 + 60 + 8

600 + 60 + 8
_____________

Now the quotient is 300 + 30 + 4 = 334.

Example:

A shopkeeper made 352 chocolates. The shopkeeper packed 5 chocolates into each box. Find how many  number of boxes of chocolates he packed and how many chocolates unpacked?

Solution:

Total number of chocolates made by shopkeeper = 352

Each box contains 5 chocolates

Therefore 352/5 = 70 remainder 2

He packed 70 boxes of chocolates.

2 chocolates are unpacked.

Example:

A shopkeeper made 324 cakes. A shopkeeper packs 5 cakes into each box. Find how many boxes of cakes there and how many cakes are left over; Shopkeeper sold each box for `$` 2, Find how much money he receive?

Solution:

Number of box of cakes = Total cakes / Number cake in one box

324 / 5 = 64 remainder 4

There are 64 boxes of cakes. 4 cakes are remainder.

The number of box = 64

So multiply number of box x sold cost of each box

Receive money = 64 x 2 = `$` 128

Understanding solve my algebra problems is always challenging for me but thanks to all math help websites to help me out.

Math how to divide practice problem


Problem:

Divide 690 by 3

Answer:

230

Problem:

A shopkeeper made 340 cakes. He packed 6 cakes into each box. Find how many boxes of cake he packs and how many cakes unpacked?

Answer:

He packed 56 boxes of cakes.

4 cakes are unpacked.

Wednesday, April 3, 2013

20 of 50 in Math

Introduction to 20 of 50 in math:

This article is showing the 20 of 50 in math. Here, 20 of 50 is nothing but 20 × 50. In arithmetic, multiplication is one of the fundamental arithmetic procedures. There are a lot of ways of multiplying procedures similar to numeral multiplication, fraction multiplication, mixed fraction multiplications and etc. The symbol for multiplication is denoted as (×). Give us permission to observe a basic example for multiplication. For example, 20 × 5 = 20 + 20 + 20 + 20 + 20 `=>` 100

Having problem with Subtract Mixed Fractions keep reading my upcoming posts, i will try to help you.

Example problems based on how to simplify 20 of 50 in math:


The example problems based on how to simplify 20 of 50 in math is given below that,

Example 1:

How to simplify 20 of 50 in math?

Solution:

Step 1:

Here, 20 of 50 is nothing but 20 × 50.

Step 2:

The given problem is nothing but fundamental multiplication, at this time we require to multiply the digit 20 through 50.

Step 3:

Now, first multiply the digit 20 through second digit 0.

We obtain 20 × 0 = 00

Step 4:

Here we are going to multiply the digit 20 through first digit 5,

We obtain 20 × 5 = 100 (20 + 20 + 20 + 20 + 20 = 100)

Here add one zero to the answer. So, 1000

Step 5:

Now add these two values.

00

1000

1000

Step 7:

Another method is given below that.

20 × 50

00

1000

1000

Step 8:

The concluding answer for the on top of problem is 1000.

Example 2:

How to simplify 120 of 50 in math?

Solution:

Step 1:

Here, 120 of 50 is nothing but 120 × 50.

Step 2:

The given problem is nothing but fundamental multiplication, at this time we require to multiply the digit 120 through 50.

Step 3:

Now, first we have to multiply the digit 120 through Second digit 0

We obtain 120 × 0 = 000

Step 4:

Here we are going to multiply the digit 120 through first digit 5,

We obtain 120 × 5 = 600 (120 + 120 + 120 + 120 + 120 = 600)

Here add one zero to the answer. So, 6000

Step 5:

Now add these two values

000

6000

6000

Step 7:

Another method is given below that.

120 × 50

000

6000

6000

Step 8:

The concluding answer for the on top of problem is 6000.

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Practice problems based on how to simplify 20 of 50 in math:


The Practice problems based on how to simplify 20 of 50 in math is given below that,

Problem 1:

How to simplify 220 of 50 in math?

Answer: The concluding answer for the problem is 11000.

Problem 2:

How to simplify 1020 of 50 in math?

Answer: The concluding answer for the problem is 51000.

Problem 3:

How to simplify 2020 of 50 in math?

Answer: The concluding answer for the problem is 101000.

Free Online Math Games

Math games are very helpful to lot of children’s. Mostly many children’s do not interest to do math. So entertaining games have been introduced to kids. It helps the children to play and they learn math. Imagine that the kids are very busy to do math games. It is very helpful to the kids, because math is applicable in our practical life and all fields. The math is most powerful. Imagine the kids couldn’t stop to do math. This online math games are available for all categories of students, which includes: free online math games for kids, 1st graders to higher level and also for college students. There are also free online math games for adults. This free online math games make learning fun and interesting for students. The free online math games are useful not only for the students but also for the teachers and parents.

Please express your views of this topic Fraction Simplifier by commenting on blog.

SOME VARIETIES OF FREE ONLINE MATH GAMES


Free Math Games includes an Order Of Operations game, two "Secret Number" puzzles, and other fun ways to practice math facts and math principles.

Some of the free online math games include: Entrapment, Math Tutoring Service, One to Ten, Math Scramble, Side by Side, Secret Number, Subtraction Triangles, Magical Squares, Adders, Secret Numbers, Zap, Fraction Concentration, Fractional Hi-Lo, Guess It.



ENTRAPMENT

Trap the computer's red dots between our gray dots to solve this mind bender.  There are over two thousand puzzles under this category.

MATH TUTORING SERVICE

The Problem Site's administrator, Douglas Twitchell provides math-tutoring services for high school students.

ONE TO TEN

Use four single-digit integers and the standard arithmetic operations to create all the numbers from one to ten.

MATH SCRAMBLE

Fill in the blanks in an addition problem or a multiplication problem to obtain the correct solution!

SIDE BY SIDE

A set of three math puzzle games in which we are given a list of seven numbers in a row, and we must rearrange the numbers according to the rule of the game.

SECRET NUMBER

The computer picks a random number between 10 and 99. We must ask questions to determine what the secret number is.

SUBTRACTION TRIANGLES

This puzzle is a bit like a Pascal's Triangle, except the numbers subtract to the values above them, instead of adding to the numbers below.

MAGICAL SQUARES

Select an "Easy", "Moderate", or "Challenge" game, and then place numbers in the square grid so they add up to the right sum for each row and column.

ADDERS

Refresh our memory on basic math facts by racing a snake around the game, gobbling up correct answers and avoiding running into walls.

SECRET NUMBERS

A variation on 'My Secret Number'. The number has three digits, and the computer tells us all the information we need to determine the number.

ZAP

A math game that just might give us brain cramps. It's a sliding tile puzzle that forces us to do mental arithmetic while racing against the clock.

FRACTION CONCENTRATION

Test our memory while evaluating and reducing fractions to find equivalent fractions. This game can be played as a one-player game or a two-player game.

FRACTIONAL HI – LO

Similar to 'Hi-Lo', except that we are guessing fractions between 0 and 1. A bit more challenging, since we are dealing with both numerators and denominators!

GUESS IT!

Professor Puzzler helps young children learn about estimation by guessing amounts, and by recognizing more and less

I have recently faced lot of problem while learning What is a Domain and Range, But thank to online resources of math which helped me to learn myself easily on net.

ADVANTAGES


Learn math in an fun and interestig way
Creates interest among students in maths
Loss of  fear of Math among students and parents
Helps students to learn Math very easily.
Loss of tension among parents regarding Math.