Thursday, May 30

Solve Basic Math Practice


Introduction to solving basic math practice:

The basic math practice consists of the operation like addition, subtraction, multiplication, and division. In this basic math practice all the operation are easy to solve. We are living in a mathematical world. Whenever we want to purchase, choose an insurance or health plan, we rely on math understanding. The mathematical thinking introduces the new problem solving technique increased dramatically.math problem can be solve usually a rough sheet. but now all are having the system and internet connections so we can able to see in to the computer.Please express your views of this topic Derivative Division Rule by commenting on blog.


Solve addition for basic math practice:


To solve addition for basic math practice has the numbers for addition operation it can be solve by using the following operation.

Example problem 1:

Solve 4+4=?

Given that 4 + 4

4+4=8

Example problem 2:

Solve 4+3+4=?

Given that 4 + 3+4

=7+4 (4+3=7)

=11

Solve subtraction for basic math practice:

To solve subtraction for basic math practice has the numbers for subtraction operation it can be solve by using the following operation.

Example problem 1:

Solve 5 -2=?

Given that 5 -2

=5-2

=3

Example problem 2:

Solve 9 -4 -3=?

Given that 9 -4 -3

=5 - 3 (9-4=5)

=2

Solve multiplication for basic math practice:

To solve multiplication for basic math practice has the numbers for multiplication operation it can be solve by using the following operation.

Example problem 1:

Solve 2*4=?

Given that 2*4

=2*4

=8

Example problem 2:

Solve 2*3*4=?

Given that 2*3*4

=6*4 (2*3=6)

=24

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Solve division for basic math practice


To solve division for basic math practice has the numbers for division operation it can be solve by using the following operation.

Example problem 1:

Solve 3/3=?

Given that 3/3

=3/3

=1

Example problem 2:

Solve 7/3=?

Given that 7/3

=7/3

If the denominator is lesser than numerator

=7/3           (6/3=2)

After that we multiply the numerator* (10)

=7/3 =2.33

=2.33

Solve practice problem

Addition

5+7

8+2

6+3

Subtraction

3-2

5-5

8-9

Multiplication

2*1

2*2

2*3



Division

6/6

5/1

20/2

Answers

Addition

12

10

9

Subtraction

1

0

-1

Multiplication

2

4

6

Division

1

5

10

Basic Statistics Problems Tutor


Introduction to Basic Statistics Problems Tutor

Statistics is the proper science of making effective use of numerical data connecting to groups of individuals or experiments. It deals by means of all aspects of this, counting not only the collection, analysis and interpretation of such information, except the planning of the gathering of data, in terms of the design of surveys and experiments. Now we will study the basic problems given by tutor. Let us see about the basic statistics problems.


Basic Statistics Example Problems Tutor


The following examples problems are used to learn statistics basic. It is the examples are given by the tutor.

Example 1

Find out the mean, median, mode, range of the following given numbers in statistics?

4,8,12,16,19,22,27.

Solution

The given numbers are 4,8,12,16,19,22,27.

Mean

Mean is the average of the given number. First find the total value of the given numbers.

Sum of the given numbers are = 4+8+12+16+19+22+27.

= 108.

The total value is divided by 7 (7 is the total given numbers) = 108/ 7

= 15.4

Median

Middle element of the given series is known as median.

The number series is 4,8,12,16,19,22,27.

The middle element of the above series is 16.

So the value of median is 16.

Mode

Mode is a copy value of the given series. Here no copy value.

Therefore the mode value is empty.

Range

Range is the subtraction of the values form least to high of the given number series.

Range = 27-4

= 23.


Example 2


Solve the mean, median, range of the following in basic statistics?

12,17,19,24,29.

Solution

The given numbers are 12,17,19,24,29.

Mean

Mean is the average of the given number. Find the total value of the given numbers.

Sum of the given numbers are = 12+17+19+24+29

=101.

Total values are divided by 5 (Here 5 is the total given numbers) = 101/5

= 20.2.

Median

Middle element of the given series is known as median.

The number series is 12,17,19,24,29.

The middle element of the above series is 19.

So the median value is 19.

Range

Subtract the minimum value from the topmost value of the series.

Range =29-12

=17.

These examples are the basic statistics problems given by tutor.

Basic Math Definitions Solve Online


Introduction to Mathematical definition solving online:

The basic mathematical definitions are which very useful in our daily life. For every incident we use mathematics in one or the other kind. The mathematical definitions are like addition, subtraction, multiplication, division, average, place value, fractions and so on. There are many basic technique is used to solve math problems with some example problems and practice problems. The student can view and solve math definitions from any point of the world using online. So now let us see the mathematical definitions solving in this article.I like to share this Find the Average Rate of Change with you all through my article.

Addition
Subtraction
Multiplication
Division
Fraction
Place value
Average

Basic math definitions solving online


Solving Addition online: Addition is the sum of two or sometimes more numbers and symbol for addition is ”+”.

For example: Add 33 and 52?

Sol : Given data 33 ,52

= 33 + 52

= 85

Answer: 85

Solving Subtraction online: Subtraction is the difference between two numbers and symbol for subtraction is “-”

For example:  Sub 20 from 40?

Sol:      Given data 20, 40

= 40 - 20

= 20

Answer: 20

Solving Multiplication online: Multiplication is a Product of two or more numbers or it is also called as repeated addition. The symbol for the multiplication are “x, (), * and also .”

For example:  Multiply the numbers 3 from 3

Sol:      Given 3, 3

= 3 x 3

= 9

Answer is: 9

Solving Division online: Division is a arithmetic operation and its operation is to Split of numbers into equal parts. The symbol for division is ( / )

For example: divide 2 from 20

Sol:   Given 20, 2

Divide 20 by 2

= 20 / 2

= 10

Answer is: 5

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Solving Fraction online: Fraction is a part of a whole number.

For example: fractions 1/3, 4/5

Solving Place value online: place value is a digit value in a number.

For example: Find the place value of 2 in this number 321?

the value of 2 in the given number is tens place 2x10.

Solving Average online: Average is the sum of total numbers divided by to total count of those numbers

For example: find the average of these numbers 2, 2, 2, 2,

Sum of the above numbers are 8

Total numbers are 4

So average of these numbers becomes 8/4 = 2

Tuesday, May 21

Study About Basic Geometry Test


Introduction to study about basic geometry test:

Geometry is the one of the fundamental concept in mathematics. In this section we will see the study about basic geometry test, which is include several set of test questions along with answer keys. And also geometry test helps the students to recognize the geometry concepts with neat and clear. It also help students to self approximation their ability to perform test in geometry. Let us see the study about basic geometry test.

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Test questions for study about basic geometry test:


Test question 1: The measure of an angle is 45 degree. Find the measure of a complementary angle.

Test question 2: The measure of an angle is 32 degree. Find the measure of a supplementary angle.

Test question 3: A triangle has angle measurements of 100 degree, 60 degree, and 20 degree. Find the kind of triangle is it.

Test question 4: A triangle has angle measurements of 110 degree, 40 degree, and 30 degree. Find the kind of triangle is it.

Test question 5: Do calculation to find the area of the triangle whose base is 10 inches and height 14 inches.

Test question 6: The area of the triangle is 30 sq cm. The base of the triangle is 5 cm. Do the calculation for find the length of the triangle.

Test question 7: The diameter of the circle is 50 cm. Do the calculation for find the radius of the circle.

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Answer keys for study about basic geometry test:


Answer key 1: The complementary angle of 45 degree is 45 degree.

Answer key 2: The supplementary angle of 32 degree is 148 degree.

Answer key 3: Measurement of the triangle is obtuse.

Answer key 4: Measurement of the triangle is scalene.

Answer key 5: Area of the triangle is 70 sq inches.

Answer key 6: Length of the triangle is 12 cm.

Answer key 7: Radius of the circle is 25 cm.

Introduction to Basic Algebra


Introduction to basic algebra:

Basic algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorial, and number theory, basic algebra is one of the main branches of pure mathematics.

Source: Wikipedia


Basic algebra rules:


Commutative Property of Addition.

a + b = b + a

Example:

5+6=6+5

Commutative Property of Multiplication.

a * b = b * a

Example:

7*3 = 3*7

Associative Property of Addition.

(a + b) + c = a + (b + c)

Example:

(5+8) + 2=5 + (8+2)

Associative Property of Multiplication.

(a * b) * c = a * (b * c)

Example:

(5*9) * 4=5 * (9*4)



Distributive Properties of Addition over Multiplication.

a * (b + c) = a * b + a * c

(a + b) * c = a * c + b * c

Example:

4 * (5+7) =4*5 + 4*7

(2+7) * 9=2 * 9+7 * 9

The reciprocal of a non-zero real number a is `1/a`.

a*(`1/a`) = 1

Example:

reciprocal of 7 is `1/7` and 7*(`1/7`) = 1

The additive inverse of a is -a.

a + (-a) = 0

Example:

additive inverse of -7 is -(-7) = 7 and - 7+(7) = 0

The additive identity is 0.

a + 0 = 0 + a = a

The multiplicative identity is 1.

a * 1 = 1 * a = a

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More about basic algebra:


Basic algebra expressions:

An expression in algebra 1 is a grouping of numbers, variables, constants, operators and parentheses or grouping brackets that are stated as an entity. An equation has an expression on each area of the equals sign. Some expressions are prepared of sub-expressions. Much of algebra concern simplifies expressions to facilitate the solution of equations.

Steps for simplify basic algebra expressions:

Step 1: assembly the terms containing the same variable collectively in algebra 1 expressions.

Step 2: execute the operation inside the parentheses for the variable and other.

Step 3: revise the expressions and simplifying the algebra expressions.

Step 4: To verify the equation, if there is capable to simplify the expression, then recur the step 1 to 4.

Introduction for basic algebra equation:

An algebra equation is mathematical statements that assert the equality of two expressions. Basic algebra equations consist of the expressions that are to be equal on opposite sides of an equal sign, as in

x+3=5

One use of basic algebra equation is in mathematical identities, assertions that are true independent of the values of any variables contained within them.

Laws of addition in basic algebra:

For the addition of positive and negative number, the follow rules, established in the First Course, apply make easy to solve algebra equation:

A number represented by a letter is called a literal number, and any number expression in which more than numbers of symbols are variable is called a literal expression.

Laws for addition in basic algebra:

1)  To add two numbers with similar signs, find the sum of their total values, and prefix the sign common to both.

2)  To add two numbers with different signs, find the diversity of their total values, and prefix the sign of the one with the larger total value.

How to Solve Basic Integers


Introduction to basic integers:
In mathematics, basic integers formed by natural numbers and including zero (0). The natural numbers like as, (1, 2, 3…) and 0 not including the natural numbers. Integers formed with positive numbers and negative numbers. Negative numbers are like this symbol, (-1, -2, -3 …). Negative numbers not including zero. Fractions and decimals are all not integers. Solve basic integers used to find the sum of basic integers. Here we are going to solve about  basic integers.


Examples problem for solve basic integers:


Rule 1: Sum of two or more negative integers is a negative integer.

Problem 1:

Solve the sum of basic integers, given integers is -6 and -2.

Solution:

Given integers is -6 and -2.

= -6 + -2

= -8

Sum of the integers is -8.

Problem 2:

Solve the sum of basic integers, given integers is -12 and -52.

Solution:

Given integers is -12 and -52.

= -12 + -52

= -74

Sum of the integers is -74.

Problem 3:

Solve the sum of basic integers, given integers is -16 and -12.

Solution:

Given integers is -16 and -12.

= -16 + -12

= -28

Sum of the integers is -28.

Rule 2: Sum of two or more positive integers is a positive integer.

Problem 4:

Solve the sum of basic integers, given integers is +6 and +6.

Solution:

Given integers is +6 and +6.

= +6 + +6

= +12

Sum of the integers is +12.

Problem 5:

Solve the sum of basic integers, given integers is +20 and +20.

Solution:

Given integers is +20 and +20.

= +20 + +20

= +40

Sum of the integers is +40.

Problem 6:

Solve the sum of basic integers, given integers is +14 and +12.

Solution:

Given integers is +14 and +12.

= +14 + +12

= +26

Sum of the integers is +26.

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Practice problems for solve basic integers:


1. Solve the sum of basic integers, given integers is -4 and -5.

Answer is -9.

2. Solve the sum of basic integers, given integers is -8 and -12.

Answer is -20.

3. Solve the sum of basic integers, given integers is -50 and -15.

Answer is -65.

4. Solve the sum of basic integers, given integers is +5 and +2.

Answer is +7.

5. Solve the sum of basic integers, given integers is +25 and +22.

Answer is +47.

6. Solve the sum of basic integers, given integers is +11 and +11.

Answer is +22.

Friday, May 17

Basic Probability Calculations


Introduction to basic probability calculations:
The basic probability calculations are very helpful to the students. Calculations are the best tool to study what you want without disturbing the time. Calculation can be more interesting and interact than books and lecturing. Probability is result of examine Probability is number of possible actions divide by total quantity of proceedings. If the event arises it represents like one, or else not occurs it must symbolize zero. Now we will see basic probability calculations.


Example problems for basic probability calculations:


Example 1:- Using basic probability calculations

In school there are 100 students available. In those students, there are 50 students are science group, 25 students are maths group and 25 students are the English group. Find the probability if,

i) Science group students are leaving first from the school.

ii) English group students are leaving second from the school.

Solution:

Given,

Total students n(S)=100

Science group students n(A)=50

Maths group students n(B)=25

English group students n(C)=25

i) Let P(A) is the event of the science group students are leaving first.

So the P(A)=`(n(A))/(n(S))`

=`50/100`

=1/2

ii)Let P(B) is the event of the English group students are leaving first.

P(B)=`(n(B))/(n(S))`

=`25/100`

=1/4.

Example 2:- Using basic probability calculations

The bag has the 60 kerchiefs. In those kerchiefs, there are 15 is the blue color, 20 is the yellow color and 25 is the white color. If John select the white color kerchief means solve the probability?

Solution:

First list the given information,

Total kerchiefs n(S)=60

Blue colour kerchiefs n(A)= 15

Yellow colour kerchiefs n(B)= 20

White colour kerchiefs n(C) = 25

Assume P(E) is the probability for john select the white colour kerchief.

So P(E)=`(n(C ))/(n(S))`

=`25/60`

=`5/12` .

In the above way we can solve the problems.

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Example 3:- Using basic probability calculations


Two coins are spinning. What is the probability for if two head are receiving?

Answer

Two coins flipped means the feasible outcomes are {(H,T),(H,H),(T,H),(T,T)}

So the total numbers of outcomes are 4.

We get the two head possibility is 1.

Probability = 1/4.

Example 4:- Using basic probability calculations

From the following scores are 41,13,46,27,79,25,15. We can find the probability for above 25 scores? 2.

Solution:

Probability for finding above 25 scores:

Above 25 scores=41, 46, 27, 79.

In the given scores the above 35scores probability values are (41, 46, 27, 79)

Probability for above 25 scores=41+46+27+79

=193.

Total scores values = (41+13+46+27+79+25+15) =246.

Probability=above 25/Total given scores.

Total scores=246

Probability for above 25 scores=`193/246` .

=`193/246` .

Formulas for finding probabilities for below 25 scores are,