In mathematics, factoring is one important topic in algebra. Factoring the sum and difference of cubes are the one special case of polynomials in factoring.. Factoring is the process of performing the operation of arithmetic multiplication in reverse. Let us solve some example problems for factoring the sum and difference of cubes.
Factoring the Sum and difference of cubes:
Sum of cubes:
(a3 + b3) = (a + b) (a2 - ab + b2)
Differences of cubes:
(a3 – b3) = (a – b) (a2 + ab + b2)
If the length, breadth and height of a cuboid are equal to each other, then it is called a cube. For example, an ice - cube, a sugar cube, a dice, etc. A cube also has 6 faces, 12 edges and 8 vertices.
It is a box with square faces
A cuboid with all the edges of the same length is a cube.
The dice with which you play is a cube
A cube has 8 vertices
A cube has 12 edges
A cube has 6 faces.
A solid cube is the part of the space enclosed by the six faces of the cube.
I hope the above explanation was useful.Keep reading and leave your comments.
Let us learn about "place value chart". Children love large numbers. The more digits the more impressed they are! :)
Place Value is an important concept, particularly when developing the two digit numbers and greater. Two digit and greater numbers include some areas that are often tricky and confusing for young children - particularly teen numbers and numbers containing zeros.
Numbers with zeros in them prove to be tricky. When a child says the number there is no real number sound that lets them know it is a zero. For example 706 - when we say it, it reads seven hundred and six. Therefore a child might write 7006 or 76 because there is no mention of any tens.
Try to learn about "times table chart" and this will help you to solve math problems.
Introduction to math place value chart:
The place value of numerals is determined by its positions. The numbers are positioned in the particular number of a digit within a numerical numbers. The place value indicates the position of a numerical system base value. The values are shows that numerical value in the standard forms in the identification. The values are determined by place of the numerals availability.
The Place Value Chart in Math:
Numbers- words
1 - One
10 - Ten 100 - hundred
1000 – one thousand
10000 – ten thousand
100000 – one hundred thousand
1000000 – ten million
10000000 – one billion
100000000 – one hundred billion
1000000000 – ten trillion
In our next blog we shall learn about "height conversion". I hope the above explanation was useful. Keep reading and leave your comments.
The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers.
How to find the greatest common factor:
·Determine if there is a common factor of the numbers. A common factor is a number that will divide into both numbers evenly. Two is a common factor of 4 and 14.
·Divide all of the numbers by this common factor.
·Repeat this process with the resulting numbers until there are no more common factors.
·Multiply all of the common factors together to find the Greatest Common Factor
Greatest Common Factor is highest quantity that divides exactly into two or more Quantities. Finding the greatest common factor is listing the prime factors, and then multiplying the common prime factors. Find all the factors of two or more quantities, and find some factors are the same ("common"), and then the largest of those common factors is the Greatest Common Factor.
"GCF" is also called "Highest Common Factor". GCF is the "greatest" thing for simplifying fractions. It is simply the largest of the common factors two or more numbers. In this article we shall discuss about greatest common factor Study.
Study on Finding the Factors
GCF is made up of three words becomes
Greatest (largest)
Common(shared)
Factor.( Factored Piece)
Factor:
Factors are the numbers multiplying together to get another number.
The factors of 14 are 1, 2,7 and 14...
Because 2 × 7 = 14, or 7 x 2 = 14, or 1 × 14 = 14.
Consider the numbers 12 and 30.
The factors of 12 are 1, 2, 3, 4, 6, and 12
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
So we get the common factors are 1, 2, 3, and 6.
Among these 1, 2, 3, and 6 the number 6 is the greatest.
Multiplication means times (or repeated addition). The symbol used for multiplication is '×'.
For example : 4 (Multiplicand) × 8 (Multiplier) = 32 (Product)
example for multiplication 4 × 6 = 24.
To learn Multiplication we should learn multiplication tables first.
This is read as four times six is equal to twenty-four or simply, four times six is twenty-four.
Multiplications indicates by placing the quantities to be multiplied side by side (just a position). The important of multiplications process is to place the digits value of the factors in the proper columns. That is, units number must be placed in the units column, tens in tens column, and hundreds in hundreds column. Notice that it is not essential to write the zero in the case of 15 tens (150) since the 1 and 5 are written in the proper columns.
In our next blog we shall learn about properties of Multiplication.
Math is the one skill you need to master in your life, even if it is the only one, you will at least be able to live without being cheated, robbed or abused. You see, without math we just cannot live or survive. We need math in our everyday lives. Just doing the basic essentials is dependent on your ability to do math.
Now let us understand what is addition.
Addition is a basic operation in mathematics; addition has simple rules. Addition role in math problems are important in most of the problems. Addition is an arithmetic operation it can be done in many math formulas and in upper grade problems addition is continued. Addition is denoted by logic operator plus “+” When plus present between the numbers we have to add in this section we have problems with addition for two, three digit numbers.
The arithmetic is considered as the branch of math which deals with the operations of counting the numbers. The study of arithmetic involves the study about the volume of the object. There are four basic arithmetic operations are present to add, subtract, multiply and divide the numbers. Here in this article we are going to see about these basic arithmetic operations.
When two numbers are multiplied together, the result is called a multiple
6 is a multiple of 2 and 3
9 is a multiple of 3 only
10 is a multiple of 5 and...
Can you say what the other number is?
A multiple of a number is a number obtained by multiplying it by a natural number.
If we multiply 3 by 1, 2, 3, 4, 5, 6… ,we get 3×1 = 3, 3×2 = 6, 3×3 = 9, 3×4 = 12, 3×5 = 15, 3×6 = 18 … Thus, 3, 6, 9, 12, 15, 18 …are multiples of 3 Clearly, a number is a multiple of each of its factors. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28… Each of these multiples is greater than or equal to 4.
What is Factors? The numbers that make a multiple are called factors
2 and 3 are factors of 6
3 is also a factor of 9
10 has two factors
Can you say what they are?
A factor of a number is an exact divisor of that number. In other words, a factor of a number is that number which completely divides the number without leaving a remainder. Each of the numbers 1, 2, 3, 4, 6 and 12 is a factor of 12. However, none of the numbers 5, 7, 8, 9,10 and 11 is a factor of 12.
let us understand with example, 8 divides 40 exactly, therefore 8 is a factor of 40.Similarly, 4 is a factor of 16 and 5 is a factor of 25.
Note: "1" is the common factor of every number and every number is always a factor of itself.
1 is the only number which has exactly one factor, so it is a unique number.
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