Thursday, May 30, 2013

Learn Online Simple Math Problems

Introduction to learn online simple math problems:

Basic math problems contains simple problems of addition, subtraction, measurement, number sense, multiplication, functions, adding and subtraction of decimals, fractions & mixed numbers, division, algebra, decimals . In this article we shall learn about online simple math problems.

Online assist students to learn the concepts promptly and without difficulty, learning online make students believe the subjects effortless and enjoyable.


Example Problems: learn online simple math problems


Example 1: adding the positive numbers: (+7) + (+27) =?

Solution: The sum of two positive numbers will be a positive numbers.

(+7) + (+27) = +34

Solution is 34.

Example 2: adding the positive numbers: (+120) + (+12) =?

Solution: The sum of two positive numbers will be a positive numbers.

(+120) + (+12) = +132

Solution is 132.

Learn online simple math problems:

Addition of negative numbers:

Example 1: Subtracting the negative numbers: (-5) + (-7)

Solution: The sum of two negative integers will be a negative integer.

(-5) + (-7) = -12

Solution is -12.

Example 2: Adding the negative numbers: (-8) + (-25)

Solution: The sum of two negative numbers will be a negative number.

(-8) + (-25) = -33

Solution is -33.

Example 3: Find the value form the expanded form 9× 10000 + 8× 1000 + 7 × 10

Solution:   9 × 10000 + 8 × 1000 + 7 × 10

= 90000 + 8000 + 70

=> 98070.

Learn online simple math problems- multiplication problems:

Example 1:

Multiply the two numbers: 4` xx` 8

Solution:

Here 4 is multiplicand

8 is multiplier

Answer is 32.

Example 2:

Multiply the two numbers: 5 `xx ` 8

Solution:

Here 5 is multiplicand

8 is multiplier

Answer is 40

Numbers using words - Learn online simple math problems:

Example problem 1:

Write a number using words: 68

Solution:

=68

8 is ones place

6 is tens place.

= 60+8 = sixty + eight

So that 68 is become in a word, sixty eight.

Example problem 2:

Write a number using words: 72

Solution:

=72

2is ones place

7 is tens place.

= 70+ 2= seventy + two

So that 72 is become in a word, seventy-two.


Practice Problems Learn online simple math problems:


Problem 1:

Sum of positive integers: (+9) + (+37)

Result: 46

Problem 2:

Sum of negative integers: (-5) + (-36)

Result: -41

Problem 3:

Multiply the two numbers: 3 * 10

Result: 30

Problem 4:

Write a number using words: 58

Result: fifty eight.

These are the examples for learn online simple math problems.

Preparation for Arithmetic Problems

Introduction of preparation for arithmetic problems:
The earliest and mainly elementary division of mathematics is the arithmetic or arithmetics.  The arithmetic is approximately used by everyone, for assignments ranging from simple day-to-day counting to advanced science and business operations.

It presents the study of quantity, mainly as the effect of combining values. Generally the arithmetic properties contain the operations of addition, subtraction, multiplication and division with the smaller values of numbers. Let we see about the answers for solve arithmetic problems.

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Preparation for arithmetic problems:


Let we discuss about preparation for arithmetic problems.

Addition (+):

Addition is one of the most significant and fundamental process in arithmetic. The addition process is performed for joins two or more values. Addition can be represented using the symbol +(plus sign) that is, infix notation. This symbol is present among the two values. The outcome is articulated with an = (equal sign).

Preparation for addition problem:

Examples:

1 7 1
6 4 2  (+)

________

8 1 3

________

6.78
9.76  (+)

________

16.54

________

1145+383= 1528
743+0=743
4 7
5 0  (+)

______

9 7

______

Subtraction (-):

Subtraction is also a one of the fundamental process in arithmetic. It is reversible processes for additions that is, if we begin with any value and adds any value and then subtract the similar value we added, we back to the value we started with. The symbol used to represent the subtraction is – (minus sign) in infix notation.

The below format defines the subtraction,

y - z = x

here c- minuend, b-subtrahend, x- difference.

Preparation for subtraction problem:

108
9 7  (-)

________

1 1

________

1 2 3
0  (-)

______

1 2 3

______

(-171)-(171)=0
5-43= -38
25-20= 5

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More Preparation for arithmetic problems:


Multiplication (*,.,×):

Multiplication is one of the four fundamental process in arithmetic.  Multiplication is the process of  determining the value or quantity (product) get by the frequent addition of a particular value or quantity (multiplicand) a particular number of times (multiplier)

Preparation for multiplication problem:

3 × 5 = 15 (or) 3+3+3+3++ = 15.
120 * 0=0
-7*13= -91
20*5=100
-3*-9=27
Division (÷ or /):

The division process is used to finding how many times quantity is contained in another; the opposite of multiplication.

Preparation for division problem:

Divide 645 by 4
Solution:

645/4=161.25

-18/2= -9
0/32=0
-47/-47=1

Solve Online Area Math Problems

Introduction :

Here we are going to see the article as solve online area math problems; generally Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The surface area of a 3-dimensional solid is the total area of the exposed surface, such as the sum of the areas of the exposed sides of a polyhedron. Area is an important invariant in the differential geometry of surfaces.

(Source: Wikipedia)

I like to share this Area of a Triangle Using Trig with you all through my article.

Example 1- solve online area math problems:


Suppose the sides of the triangle are given as 6cm, 8cm and the angle of the triangle is 30 degree find the area of the triangle?

Solution:

Here the sides of the triangle is given as 6cm, 8cm and the angle of the triangle is 30 degree

If the sides of the triangles are given means we use the below formula to find the area of the triangle

`(1/2)xxaxxbxxsinc`

Now we plug the a, b and angle in the above equation

So the area of the triangle is `((1/2) xx6xx8xxsin30)`

We know that sin 30 =`1/2`

Area of the triangle is` (1/2) xx48xx1/2`

`1/4xx48=48/4=12`

So the area of the triangle is 12cm^2

Example 2- solves online area math problems:

If the length of the parallelogram is 8cm and width of the triangle is 13cm find the area of the parallelogram?

Solution:

Area of the parallelogram =`("length") xx ("width")`

Here the length of the parallelogram is 8cm and width of the parallelogram is 13cm

Area of the parallelogram is `8xx13=104cm` 2


Example 3- solves online area math problems:


If the diagonals of the rhombus are 18cm and 14cm find the area of the rhombus?

Solution:

The diagonal of the rhombus is 18cm and 14cm.

We know that the area of the rhombus is` (1/2)xxaxxb,` here a, b are the diagonals value

Area of the rhombus is` ((1/2) xx18xx14) = (252/2)`

So the area of the rhombus is 126.

Example 4- solves online area math problems:

Calculate the area of the circle whose radius is 9cm?

Solution:

We know that the area formula for the ellipse is `pi` r^2

Here the value of pi is 3.14 and r=9cm

We plug these values in the above formula means we get the area of the circle

`3.14xx9xx9=3.14xx81=254.34cm^2

Tuesday, May 21, 2013

Learn Numbers Online for Kids

Introduction to learn numbers online for kids:

When we search online for learn about numbers we have getting the following topics. These topics are helping us to understand the basic number systems and some interesting schemes and practices on numbers. There are many kinds of numbers in mathematics. Normally numbers are the back bone of mathematics. Let us see about Learn numbers online for kids. I like to share this Perfect Square Numbers with you all through my article.


Learn numbers online for kids:


Learn numbers online for kids – square numbers:

In the division of arithmetic the square numbers are expression to be as the numbers that are shaped as the product value when the similar numbers got multiply twice as r * r = p, where ‘p’ is said to be as the square digit and ‘r’ is said to be as square root of ‘p’.
Illustration of square numbers is1, 4, 9, 16, 25……
Learn numbers online for kids – cube numbers:

In the division of arithmetic the cube numbers are expression to be as the numbers that are created as the product value when the similar numbers got multiplied thrice as r * r * r = p, where ‘p’ is said to be as the cube number and ‘r’ is said to be as cube root of ‘p’.
The examples for cube integers are 1, 8, 27, 64……


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Some more details about learn numbers online for kids:


Learn numbers online for kids – triangular numbers:

In the division of arithmetic the triangular numbers are expression to be as the numbers that are created as the added value when the consecutive numbers are added to the resulted number as r,  (r+2) = p, (p+3) = q, (q+4) = s…..
Example for triangular numbers is 1, 3, 6, 10, 15, 21, 28, 36, 45……….
Learn numbers online for kids – prime numbers:

In the division of arithmetic the prime numbers are expression to be as the numbers that are said to have only two factors as they get divisible by the multiplication table ‘1’ and its similar number multiplication table.
Example for prime numbers is 2, 3, 5, 7, 11, 13, 17, 19…….

Solve Online Math Education

Introduction to solve online math education

In this article we will see about math tutoring.  Tutorvista is an educational websites. Whenever you need you can use tutorvista website. In this website you can see tutoring for kindergarten to college level.  Here you can get help for maths terms, Exam practices test, problem solving and online test and our tutor will helps you. You will get math tutoring from the home. Following preparations are really exercising your brain it helps for your math study. Let us see some example math problems and solving methods.


Math problems:


Problem 1: Solve online math education

Nancy wants to buy a scooter that costs $120. She has saved $40 so far. How much more money does Nancy need?

Let us see how to solve this math test problem.

Solution:

Step 1:    A scooter cost is = $120

But Nancy has   = $40    we find how much more money does Nancy need.

Step 2:    Let x as money does Nancy need so

40 + x = 120

Step 3: If we subtract 40 we can cancel out the plus 40 so let us have go to at subtracting 40 from both sides

40 -40 + x = 120 -40

Step 4: remove combine terms like 40 – 40 = 0

0 + x = 80

Step 5: Therefore Nancy need $ 80 for buy a scooter.

Probelm2: Solve online math education

Which sign goes in the blank?  8 ___ 8 – 2

Let we show how to solve this math question.

Solution:

Step 1: remember, Subtracting from a number makes it smaller.

Step 2:   8 must be bigger than 8 – 2 .

Step 3: Therefore 8 > 8 – 2.

Probelm3: Solve online math education

Write place value 569.

Let we show how to solve this math question.

Solution:

The "9" is in the Units position, meaning just 9 (or 9 "1"s),

The "6" is in the Tens position meaning 6 tens (or sixty),

The "5" is in the Hundreds position, meaning 5 hundreds.

5  6  9

|    |   |_______ one’s place

|     |_________ Ten’s places

|____________ Hundreds

Probelm4: Solve online math education

When counting by twos, what comes after 16?

Solution:

Step 1: count by twos

12   14   16  17   18   20

Step 2: when counting by twos, 18 comes after 16.

Step 3: therefore 18 is correct answer.


Practices problems:


1) When counting by four, what comes after 20?  Answer: 24

2) Add this numbers 5 + 8 + 2 =?          Answer: 15

3) Write place value 102.                 Answer:  1 Hundred | 0 tens | 2ones.

Basic Maths Solved Sample Test

Introduction to basic maths solved sample test:

In maths, integers are the basic needs. With the integer simplification, calculations and elimination are the operations handled in mathematics. In math we can search and learning about the basic operation called arithmetic operation which includes addition, subtraction, multiplication and division. And also math includes many topics like algebra, linear equation, slope of the line and many more. Sample test deals with some of the basic topics with solved maths test problems. Here we have some solved basic maths sample test problems.

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Basic maths solved sample test:


The basic math is involved in arithmetic operations like addition, subtraction, multiplication, and division. Some of the solved sample test problems are,

Addition: Addition ids the process of adding two terms like, 8 + 9 = 17 or 2x +7x = 9x

Subtraction: Subtraction id the process of having the difference between two terms like, 5 - 2 = 3 or -3x + 9x = 6x

Multiplication: It is the process which involves multiplying like, 2 xx 5 = 10 is by 2 + 2 + 2 + 2 + 2 = 10 adding five times 2.

Division: Its performed like, (8 / 2) = 4.

Example for basic maths solved sample test 1: Add 5 + 3

Solution:

= 5 + 3

= 8

Example for basic maths solved sample test 2: subtract 9 - 3

Solution:

= 9 - 3

= 6

Example for basic maths solved sample test  3: Solve `5xx6`

Solution:

` 5`
` 6 xx`
----------
` 30`
------------
Answer: `30`

Example for basic maths solved sample test 4: Divide 40/5

Solution:

Dividing the number 40 by 5 is,

40
5 (/)
-----------
8
-----------
Example for basic maths solved sample test 4: Solve the given terms

a)      15 +81 =? – 8

Solution:

15 + 81 =? – 8

96 =? – 8

96 + 8 = 104

So the answer is 104

Answer: 15 + 81 =104 – 8

b)      50 – 35 = 6 + ? + 7

Solution:

50 – 35 = 13 + ?

15 = 13 + ?

15 –13 = ?

So the answer is 2

Answer:  50 – 35 = 6 + 2 + 7

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Basic maths solved sample test problems:


Example for basic maths solved sample test 1: Add 55 + 13

Answer: 68

Example for basic maths solved sample test 2: subtract 9 - 3

Answer: 6

Example for basic maths solved sample test 3: Solve `6 xx15`

Answer: 90

Example for basic maths solved sample test 4: Divide 50/10

Answer: 5

Friday, May 17, 2013

10th Grade Math Sample Tests

Introduction to mathematics:

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. There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. (Source: Wikipedia)

Topics under 10th grade math:

Linear and non linear equations
Quadratic equations
Standard form of line equations
Slope intercept form
Trigonometry
Geometrical areas and volume
Here, we see about linear equations, quadratic equations, and trigonometry.

Please express your views of this topic system of linear equations examples by commenting on blog.

Example problems for 10th grade math sample tests


10th grade math sample test example problem 1:

Solve the linear equations 2x - 3y = 6 and x + 2y = 10

Solution:

The given linear equations are 2x - 3y = 6 and x + 2y = 10

2x - 3y = 6 ------- (equation 1)

x + 2y = 10 ------- (equation 2)

Multiply the equation 1 by 2, we get

4x - 6y = 12 ------ (equation 3)

Multiply the equation 2 by 3, we get

3x + 6y = 30 ------- (equation 4)

Add the equation 3 and equation 4, we get

7x = 42

Divide by 7 on both the sides, we get

x = 6

Substitute the value of x in the first equation, we get

18 + 6y = 30

Subtracting the above equation by 18 on both the sides, we get

6y = 12

Divide by 6 on both the sides, we get

y = 2

Answer:

The final answer is x = 6, y = 2

10th grade math sample test example problem 2:

Solve the linear equation 3x - y = 24, x = 3y using substitution method.

Solution:

Given equations are 3x - y = 24 and x = 3y

3x - y = 24 ---------- (1)

x = 3y ---------- (2)

Substitute the equation 2 in equation 1, we get

9y - y = 24

8y = 24

Divide the above equation by 8 on both the sides, we get

y = 3

Substitute the value of y in equation 2, we get

x = 3 (3)

x = 9

Answer:

The final answer is x = 9, y = 3.

10th grade math sample test example problem 3:

Find the value of (sin 30° + cos 45°)

Solution:

Given (sin 30° + cos 45°)

We know that,

sin 30° = 0.5

cos 45° = 0.707

Substitute the above values in the given, we get

(sin 30° + cos 45°) = 0.5 + 0.707

= 1.207

Answer:

The final answer is 1.207

Understanding Trig Integral Table is always challenging for me but thanks to all math help websites to help me out.

Practice problems for 10th grade math sample tests


10th grade math sample test practice problem 1:

Solve the linear equations 5x + y = 36 and x - 3y = 4

Answer:

The final answer is x = 7, y = 1.

10th grade math sample test practice problem 2:

factorize the given quadratic equation x2 - 13x + 22 = 0

Answer:

The final answer is x = 11 and x = 2

10th grade math sample test practice problem 3:

Find the value of (cos 60° + tan 45° + sin 90°)

Answer:

The final answer is 2.5