factors of 108

Let us learn about factors of 108

108 is a composite number because 108 have factors other than 1 & itself. 108 is not a prime number.

The 12 factors of 108 are as follows 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factor pairs of 108 are as follows 1 x 108, 2 x 54, 3 x 36, 4 x 27, 6 x 18, & 9 x 12.

The proper factors of 108 are as follows 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, & 54

The prime factors of 108 are as follows 2, 2, 3, 3, & 3.

Points to remember: There is repetition of these factors, therefore if the prime factors are being listed instead of the prime factorization & usually only the distinct prime factors are listed.

The 2 distinct prime factors of 108. They are 2 and 3.

The prime factorization of 108 are as follows 2 x 2 x 3 x 3 x 3 or, in index form 2² x 3³.

Points to remember: There cannot be similar factors, a least common multiple or a greatest common factor because "common" refers to factors or multiples that 2 or more numbers have in common.

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Standard form calculator

Let us learn about Standard form calculator

Evaluate 0.000 01 3 in Standard form calculator

Solution:-

Given: 0.000 01 3

0.000 01 3 = 1.3 × 10^5

Its 10^5 are moved to 5 decimal places to the left to get the number to be 1.3

Standard form is a method of writing down very small numbers or very large number easily. 10³ = 1000, so 4 × 10³ = 4000. So 4000 can be written as 4 × 10³. This idea can be applied to write even larger numbers down easily in standard form.

Small numbers can also be written in standard form. Instead of the index being positive in the given example, the index was 3, it will be negative.

In our next blog we shall learn about Standard form equation I hope the above explanation was useful.Keep reading and leave your comments.

Free calculus problems

Let us learn about Free calculus problems

Have you ever wish that you had a calculus tutor that was there for you 24/7 (all the time), day or night whenever you wanted, never required an appointment & was willing to go over & 24/7 & over a procedure until you got it right? & in addition cost less than the price of a single tutoring session, or problems book!
Well, now you have! This calculus tutor is even available the night before the test, even the last few minutes before the test.
There are many web site you are about to sample has all these features & more. If you buy a problems calculus book you can read how others do calculus problems. If you go to a calculus problems oriented class you will see how the instructor does the calculus problems. If you hire a calculus tutor you will see how the calculus tutor does the calculus problems. All these types of experiences are great, but what you really want is the skill to do the calculus problems yourself.

In our next blog we shall learn about calculus help free I hope the above explanation was useful.Keep reading and leave your comments.

Factor polynomials

Let us learn about Factor polynomials


Factoring polynomial expressions is just not quite the same as factoring numbers but the concept is very similar. When factoring polynomials or factoring numbers you are finding polynomials or numbers that divide out evenly from the original polynomials or numbers. But in the case of polynomials, you are dividing numbers & variables out of expressions not just dividing numbers out of numbers.

When polynomials contain 4 terms it is sometimes easier to group like terms in order to factor.

Student goal is to create a common factor.

Student can also move terms around in the polynomial to create a common factor.

Practice makes student better in recognizing common factors.

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how to do algebra

Let us learn how to do algebra

Algebra is defined as "a branch of mathematics related to the study of structure, relation & quantity." For many learners, algebra is the foreign language of math, rife with equations. The use of letters instead of numbers that demand to be assigned a value appears to add to the complexity. However, algebra can be divided into a series of linked concepts.

Cultivate a "can do" “I can” attitude before Algebra class starts. Remember that practice makes man perfect, so do the homework regularly & practice algebra everyday. Review basic math skills to prepare for algebra.
Start learning the special terms applied in algebra. Understand number sets, elements & learn to identify the numbers which belong to the set of whole numbers, real numbers & natural numbers. Practice writing mathematical statements using the equality signs & inequality signs.
Understand fractions perfectly & thoroughly. Identify the numerator & denominator. Be able to reduce fraction, convert them & find the LCN & least common denominator. Know how to perform math functions, division, addition, subtraction, multiplication, with fractions. Understand prime numbers and prime factorization.
Study the properties of real numbers with interest. Learn about positive numbers & negative numbers, the value of zero & how to multiply by zero & divide by zero. Practice math functions with real numbers. Know how to find the reciprocal of any given number.
Practice reading & drawing graphs, pi chart, including bar, line graphs & double line graphs. Understand the application of each. Know how to create and read a Venn diagram.
Get master simple algebraic expressions & move to more complicated expressions and simplify them. Practice the properties of equality, multiplication & including addition. Advance to linear equations & linear inequalities.
Remember that each concept or topic of algebra is built on another. Make sure to master each concept or a topic before moving to the next. Make the best use of class time, books & ask for help after class & in special tutoring sessions from algebra tutors.

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math word problems worksheets help

Let us learn about math word problems worksheets.

math word problems worksheets help student to solve problems easily.

Math word problems worksheets help make learning engaging for learners. Math Word problems or story problems allow learners to apply what they've learned in math class to real-world situations. Math word problems build critical problem-solving, higher-order thinking, & reasoning skills. All of the printable math word problem worksheets on this site are FREE for parents, students, home school families, & tutors.

The best example: 1. James bought a new camera. He took pictures of birds and squirrels at the park. He took 63 pictures of birds and 24 pictures of squirrels. How many pictures did he take in all?

Answer: 87

2. Joey, John, and Hannah went to the movie theater. Each ticket cost $7.30. What was the total cost of the tickets?

Answer: $21.90

Feature original math word problems worksheets for tutors & parents to copy for their kids. These Math word problems worksheets help in teaching, review & reinforcement. These Math word problems worksheets are most appropriate for grades 4th and 5th, but many are designed to be challenging & informative to older & more advanced learners as well.

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acute triangle problems

Let us solve acute triangle problems.

A triangle whose all angles are less than 90° is called acute triangle

1. The angles of a triangle are 23º, 50º and 80º respectively. Identify what type of triangle is this?

Solution: This triangle is an acute triangle. This is because each of the angles is below 90°.

2. The angles of a triangle are 45º, 56º and 79º. Identify what type of triangle is this?

Solution: This triangle is an acute triangle. This is because each of the angles is below 90°.

In our next blog we shall learn about diameter of a circumference I hope the above explanation was useful.Keep reading and leave your comments.

square root chart

Let us find out square root of 25 from square root chart.

Square root is nothing but the exponent of 0.5 to the number or ½ exponents to the number. This type of root gets vanished when the number is squared.

1. The product of two square roots with different numbers inside will be written in a single root with the product of those 2 numbers.

2. When a number gets into the square root, it changes into a square of the number.

3. The square root of a fraction will be written as individual roots.

4. When a perfect square comes out of the root, a perfect square becomes the number without square.

In our next blog we shall learn about cumulative frequency I hope the above explanation was useful.Keep reading and leave your comments.

diameter to circumference

Let us learn diameter to circumference.

The formula used to find the circumference of the circle is given as,
Circumference = 2πr
Where,
r is radius
Radius r = D/2

Find the circumference of the circle when the diameter is 10 cm

Solution:
Diameter of the circle is 10cm
Circumference of the circle is pi*d units
= (3.14)*10
= 31.4 cm.
Circumference of the circle is 31.4 c
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math problems online

Hi Friends!!!

How many of you like to solve math problems online.

Instrument required by both student & tutors to learn math problems online.

Headset, Microphone, webcam, pen drive, digital pen & pad.

In our next blog we shall learn about all prime numbers I hope the above explanation was useful.Keep reading and leave your comments.

basic probability

Let us learn about basic probability

Formula used for solving basic probability

= Number of favorable out come
Total No. of favorable outcome

basic probability is the method of expressing information or belief that an event will occur or has occurred

1. Two coins are tossed simultaneously, what is the learning basic probability of getting (i) exactly one head
The sample space i s S = {HH, HT, TH, TT}, n(S) = 4
Let A be the event of getting one head A = {HT, TH},
P(A) =n(A)/n(S) =2/4 =1/2
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maths past papers

Hi Friends!!!

How many of you scare to attend exams?

I have few tips and reasons which makes you tension free before attending exams.

Practicing maths past papers is the best way to gain perfection in subject and to complete your revision as you can test yourself under exam conditions, with the same three hour time constraint you'll have in the exam. I can say they are the most valuable resource for carrying out revision. Solving past papers enable students to gauge their subject knowledge and uncover their strengths and weaknesses, enabling you to understand what areas you need to devote more time to and conversely, what areas you can devote less time to.

It is the one of the most effective & easy way of increasing interest in learning and your chances of passing exams at school is to obtain past Test papers.There many websites which provides you free exam paper.
There are 4 reasons to solve maths past papers & English past papers:
1. It enables you to understand & establish the type of questions being asked.
2. How those questions will be marked. For exam some answers carry more points then others
3. You will learn how to manage your time during the exam.
4. It helps you to revise & review information from math books or math notes that are most important for the math exam.
One hand before you obtain past papers the better as it enables you to gear your revision around the typical type of questions that you are likely to get asked.
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grams to kilograms

Let us learn how to convert grams to kilograms.

Grams and kilograms both are the International System of Units, the standard units of measuring weight. Gram is a metric unit of mass which equals to one thousandth (1÷1000) of a kilogram.

Convert 1000 grams to kilograms.

Solution:

We know that one gram is equal to 0.001kilograms.

Therefore 1000 grams= 0.001x 1000 kilograms.

= 1 kilograms.

In our next blog we shall learn about logarithm rules I hope the above explanation was useful.Keep reading and leave your comments.

Introduction to Analytic Geometry

Let us learn about Analytic Geometry.

Introduction to Analytic Geometry:

In plane analytic geometry, points are defined as ordered pairs of numbers, say, (x, y), while the straight lines are in turn defined as the sets of points that satisfy linear equations.

Analytic Geometry is a branch of algebra that is used to model geometric objects - points, (straight) lines, and circles being the most basic of these. Analytic geometry is a great invention of Descartes and Fermat. Analytical geometry is also known as coordinate geometry or Analytical Cartesian coordinate system.

The study of analytical geometry related to coordinate system and the principles of algebra and analysis. The synthetic approach of Euclidean geometry is the contrast geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth.

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algebra 1 helper

Hi Friends!!!


What do you think whether books like algebra 1 helper, help on homework , free math answers so on will help you in solving problems or online tutors helps you in learning math better.

Online means it is one of the new way of connectivity it is victimized for introduce the two or author soul in a equal period from that they do the conversation finished the computer, web equivalent that. Here the grad can greet meliorate from the tutor.

online homework help from online tutors proved better learning processes from media of learning. Many students scored good marks in their semesters.

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how to solve math problems

Hi Friends!!!

Math isn’t that hard! In fact it’s probably one of the simpler sciences. That said it could be confusing in case you don’t know what to do. Definitely there's overwhelming issues in math (and even types of math where getting the wrong answer is the whole point!) but most math can be broken down in to simple solvable steps.

now let us learn how to solve math problems

Have you heard any time practice makes man perfect.

Math is an interesting subject. We need to practice daily and we should learn even a simple basic method to solve difficult problems.

There are many websites which provides you free math answers.
If you need more help on homework, online tutoring is best example to make you tension free.
In our next blog we shall learn about Pre algebra I hope the above explanation was useful.Keep reading and leave your comments.

what does mean in math

what does mean in math ?


In mathematics, an average, central tendency of a data set is a measure of the "middle" or "expected" value of the data set. The average is calculated by combining the values from the set in a specific way and computing a single number as being the average of the set. The most common method is the arithmetic mean

Average or mean =. Sum of all numbers

The count of the number

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division algorithm

Let us learn about division algorithm

In mathematics, polynomials in more than one variable do not form a Euclidean domain, so it is not possible to construct a true division algorithm. Given a polynomial g, polynomials (f₁, ..., f_m) and an order on the monomials in k[x₁, ..., x_n], we construct the reduction of g modulo f₁, ..., f_m by the following algorithm. Let a_i denote the leading term of f_i with respect to the monomial order. Repeatedly apply the following until no monomial term of g is divisible by any of the a_i :

Division Algorithm for Polynomials

Let F is a field, f(x), g(x) e F[x] with g(x) ≠ 0.

In q(x), r(x) in the F[x] such that f(x) = g(x) q(x) + r(x) and r(x) =0

Proof :-
(1) Let f(x) = g(x) q(x) + r(x) with g(x) ≠ 0

(2) If f(x) = 0 or deg f(x) is less than g(x), then r(x)=f(x), q(x)=0.

(3) So, we assume that f(x) ≠ 0 and deg f(x) ≥ deg g(x)

(4) Let f(x) = a_nxⁿ + ... + a₀

(5) Let g(x) = b_mx^m + ... + b₀

(6) Let f₁(x) = f(x) - a_nb_m^-1x^n-mg(x)

(7) We note that deg f₁(x) is <>deg f(x) since:

f(x) - a_nb_m^-1x^n-mg(x)

= a_nxⁿ + ... + a₀ - a_nb_m^-1x^n-m(b_mx^m + ... + b₀)

= a_nⁿ - a_nxⁿ + a_n-1x^n-1 + ... + a₀ - a_nb_m^-1b_m-1x^n-1 - ... - a_nb_m^-1b₀x^n-m

= a_n-1x^n-1 + ... + a₀ - a_nb_m^-1b_m-1x^n-1 - ... - a_nb_m^-1b₀x^n-m

So that f₁(x) has a degree of n-1 while f(x) has a degree of n.

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how to calculate pi

Let us learn how to calculate pi

π (sometimes written pi) is a mathematical constant and its value is the ratio of a circle's circumference to its diameter

• pi is a dimensionless quantity.
• It is an irrational as well as transcendental number.
• Decimal notation of pi is 3.141592.
• Fraction notation of pi is 22/7

Practically a physicist usually needs only 39 digits of Pi to make a circle same as the size of the observable universe accurate to one atom of hydrogen, the number itself depicts as a mathematical curiosity has created many challenges in different fields.

In our next blog we shall learn about water pollution statistics I hope the above explanation was useful.Keep reading and leave your

square root of 18

Let us find out square root of 18

In mathematics, a square root of a number x is a number r such that r² = x or, in other words, a number r whose square (the result of multiplying the number by itself) is x.

Example for square of a number 6 is 6 × 6 = 36; therefore the square root of 49 is 7. The square root representation is nothing but √x.

Example Problems Based on Simplify the Square Root of 18:

The example problems based on simplify the square root of 18 is given below that,

· Prime Factorization Method - Simplify the square root of 18.

Solution:
We have to find prime factorization of 18.
Therefore, the prime factor of 18 is 2 x 3 x 3.
We have to create a pair of each factor.
Therefore, 18 = 2 x 3 x 3
Now, we have to find one factor as of each pair, we get 3.
Formation of the square root = 3√2
The concluding answer for simplify the square root of 18 is 3√2
In our next blog we shall learn about "linear algebra toolkit"

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polar graphs

Let us learn about polar graphs

Polar Graph, Rules of Symmetry

• If in the polar equation, (r, θ) can be substituted by (r, - θ) or (- r, π - θ) , then graph is symmetric with respect to polar axis.

• If polar equation, (r, θ) is substituted by (- r, θ) or (r, π + θ) , the graph is symmetric with respect to the pole or origin.

• If polar equation, (r, θ) can be substituted by (r, π - θ) or (- r, - θ) , the graph is symmetric with respect to the line θ = π/2.

In mathematics, the polar equations can be plotted over a graph. These polar graphs are formed by the intersection of points of the geometry conics. These consist of some smooth edge values. The polar equations consist of a inflection point. In polar graph calculator article, guides you to plot graphs for the polar equations.

In our next blog we shall learn about "deductive reasoning examples"

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