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We know that when a fraction is multiplied by its reciprocal the result is always 1. This reciprocal is also known as multiplicative inverse. In order to find out the multiplicative inverse of a fraction the following points are to be kept in mind.

Continue reading "Multiplicative Inverse | Multiplicative Inverse of a Fractional Number"

5th grade math

Continue reading "5th Grade Math | Numbers |Decimal | Fraction | Geometry |Data & graphs"

We have previously discussed about multiplication of fractional number. However there are few properties of multiplication of fractional numbers which can be applied in certain cases in order to make calculation easier and faster. These properties are helpful in better

Continue reading "Properties of Multiplication of Fractional Numbers | Fraction Math"

This topic deals with multiplication of a fraction by another fraction. For eg : 3/7 by 5/11. Here both the numbers are in numerator and denominator form. Here are few examples to show multiplication of fraction by another fraction

Continue reading "Multiplication of a Fraction by a Fraction |Multiplying Mixed Fraction"

This topic deals with multiplication of a whole number i.e. (0, 1, 2, 3, 4, 5, 6, 7…….) by a fraction i.e. a number in p/q form. When we are multiplying a whole number with a fraction or fractional number then first we have to change that whole number into fraction just by

Continue reading "Multiplication of Fractional Number by a Whole Number |Solved Examples"

This topic discusses about multiplication of a whole number by a fraction. Whole numbers are positive integers starting from zero to infinity. The fractions are always in numerator and denominator form whereas, whole numbers are not.

Continue reading "Multiplication of a Whole Number by a Fraction | Multiplying Fractions"

Multiplication is a repeated addition as if we add a group of numbers or a single number again and again then actually we are doing multiplication. Let us understand it with an example: Table of 2 2 × 1 =2 2 × 2 = 4 2 × 3 = 6 2 × 4 = 8 2 × 5 = 10 2 × 6 =12 2 × 7 =14

Continue reading "Multiplication is Repeated Addition | Repeated Addition|Adding Numbers"

Integers are positive and negative number including zero and does not include the fractional part. We will discuss about the rules for subtracting of integers. There are certain rules which will help us in better understanding of subtraction of integers.

Continue reading "Rules to Subtract Integers | Subtraction of Integers | Solved Examples"

Integers are positive, negative numbers including zero and do not include any fractional part. This topic will cover the rules for adding integers. There are certain rules which will help us in understanding how: •Two positive integers are added •Two negative integers are

Continue reading "Rules to Add Integers | Negative and Positive Integers |Absolute Value"

After learning representation of integers on a number line now we will learn addition of integers on a number line. For the purpose of learning addition of integers on a number line we have to keep certain points things in mind.

Continue reading "Addition of Integers on a Number Line |Integer Addition on Number Line"

A number line is a straight line representing negative and positive numbers. In number line the numbers are placed at regular intervals and numbers to the right are greater than the numbers to the left. Again the numbers on the left are smaller than the numbers on the right.

Continue reading "Representation of Integers on a Number Line | Integer Number Line"

Integers are similar to whole numbers but they include negative numbers and just like whole numbers do not include any fractional part in them. Integers are represented with capital letter (Z) it is denotes Zahlen German word. Integers include positive numbers

Continue reading "Integers | Properties of Integers|Negative Integers |Positive Integers"

This worksheet aims at providing the learners with word problems on multiplication and division with large numbers. There are various sums of moderate standard which can be easily solved by the learners. While going through the worksheet the learners will go through various

Continue reading "Worksheet on Multiplication and Division of Large Numbers | Numbers"

This worksheet aims at providing the learners an experience of solving addition and subtraction with large whole numbers. The method learnt for addition and subtraction is same only it deals with large numbers along with writing the statements as the addition and subtra

Continue reading "Worksheet on Addition and Subtraction of Large Numbers |Mixed Problems"

These word problems are from multiplication and division and would help you assess the areas where we will have to multiply or divide by reading the story of each sums. When we are usually finding the value of lesser units then we actually need to find out the value of 1

Continue reading "Word Problems on Multiplication and Division of Whole Numbers | Math"

There are few properties of division like other basic operations (such as addition, subtraction and multiplication) which are helpful in better understanding of the concept and ideas. These properties will help the learners in easier understanding and even for the purpose

Continue reading "Properties of Division | Dividend = Divisor × Quotient + Remainder"

As we know multiplication is repeated addition in a similar way division is repeated subtraction. There are four basic operations with whole numbers that is addition, subtraction, multiplication and division. This subtopic will deal with division of whole numbers.

Continue reading "Division of Whole Numbers | Dividend = Divisor × Quotient + Remainder"

There are few properties of multiplication which makes the calculation of multiplication easier and less time consuming. Moreover, by using the properties of multiplication we can easily find the product of large numbers. Commutative Property of Multiplication

Continue reading "Properties of Multiplication |Commutative, Closure, Identity Property "

Multiplication is nothing but actually repeated addition. When we are dealing with large numbers then repeated addition becoming time consuming, tiring and confusing as well. Hence we opt for multiplication as it becomes much easy than repeated addition.

Continue reading "Multiplication of Whole Numbers | Repeated Addition | Multiplicand"

The four basic operations with whole numbers are addition, subtraction, multiplication, and division. Now we will understand how subtraction of whole numbers is done.Steps for conducting subtraction of whole numbers. First we have to write the numbers under proper heads

Continue reading "Subtraction of Whole Numbers | Four Basic Operations on Whole Numbers "

In the previous subtopics we have learnt how to perform addition and subtraction of whole numbers. Now we are moving a step ahead and would learn how to solve word problems on addition and subtraction. It is nothing but along with addition/ subtraction we have to write

Continue reading "Word Problems on Addition and Subtraction of Whole Numbers | Numbers"

Whole numbers are positive integers including zero. The main difference between whole numbers and natural numbers is that natural numbers are also positive integers but does not include zero. Hence we can say that natural numbers means whole numbers whereas, whole numbers

Continue reading "Addition of Whole Numbers | Basic Operation of Whole Numbers |Examples"

Whole numbers are positive integers along with zero. They are all the natural numbers including zero. Hence we can say that all whole are natural numbers but natural numbers does not include zero hence all natural numbers are not whole numbers. Whole Numbers = 0, 1, 2, 3, 4,

Continue reading "Operations On Whole Numbers |Addition|Subtraction|Multiplication|Divi"

Prime numbers are numbers that are divisible by one and itself or we can say that they have exactly two factors. These numbers only appear in the tables of 1 and the number itself. They do not appear in the table of other numbers. Examples are: 2, 3, 5, 7, 11, and 13…… etc

Continue reading "Prime and Composite Numbers | List of Prime Numbers | Co-prime Number "

Numbers are mathematical symbols or signs that help us to measure, count, and estimate. It is a real pride for we Indians that the most used system of numeration that is the Hindu Arabic system of numeration was invented by two Indian mathematician. Aryabhat in 5th century B

Continue reading "Various Types of Numbers | Natural Numbers | Integers | Whole Numbers"

Staining of human cheek cell - First we have to take a clean piece of cotton swab and scrap the epithelium layer from the inside of our mouth. It is then put on the previously cleaned slide and smear is prepared. Then a staining solution called haematoxylin is added

Continue reading "Human Cheek Cells Under the Microscope | Haematoxylin | Cell Membrane"

Cells present in onion peel can be observed under microscope. For this onion peels are first isolated. For this experiment outer most scale of the onion is removed and is cut into four equal halves. It is a monocot plant. Then with the help of a pairs of forceps the scale

Continue reading "Onion Peels Observed Under the Microscope | Confirmation Point"

Living beings or organisms are made of one or more cells . Cells are the basic unit of structure and function of organisms. It was discovered by Robert Hooke in 1665 as he observed under microscope, a very thin slice of cork. That cork was made up of multiple chambers which

Continue reading "Cell Theory | Introduction |Preexisting Cell |Exception of Cell Theory"

Cell is the structural and functional unit of life. It contains a centre which is called nucleus (as it controls the different functions and activities of cell). Plant cell is hexagonal or pentagonal is shape. Whereas animal cells are oval or round in shape. Plant cell

Continue reading "What is a Cell? | The Unit of Life | Prokaryotic Cell |Eukaryotic Cell"

Frogs are the classes of tetra pods which are placed at the first category of vertebrates. According to some scientist it is appeared during the Carboniferous era. These are included in amphibian’s category as their one phase of life is dependent on water and the other

Continue reading "Frogs | Structure and Morphology |Respiratory System|Structure of Frog"

Morphology- Body of cockroach is dorsoventrally compressed and mathematically segmented. Entire body is divided into head, thorax and abdomen. Head contains pair of antennae, a pair of compound eyes and a pair of fenestrae. Thorax contains three segments. Each bears a pair

Continue reading "Cockroach | Morphology | Digestive system | Respiratory System"

Friendship is indeed rare and precious. Apart from family, the ties of which are determined by birth, the only relationship which is close to one’s heart and gives solace and company to our soul is friendship. A friend is the one who would hold your hand in times of

Continue reading "A Friend in Need is a Friend Indeed | Expand the Theme|Expand the Idea"

How many times we have come across this proverb in our daily life and how many times we have been inspired to use it ourselves? Human brain is the most evolved, advanced and developed brain in all species. It is this fully functional brain, working overtime that has allowed

Continue reading "Necessity is the Mother of Invention |Expand the Theme|Expand the Idea"

History is a lesson. It is interesting, illuminating and offers such rare insight for the ones who are willing to learn and be inspired that there is no dearth of gems hidden in its pages. Back in India, we have listened to the tales of Mahabharata and much as we laud the

Continue reading "They Never Fail who Die for a Great Cause | Expand the Idea | Opinion"

Bravery is one of the rarest and most well-mired qualities possessed by us humans. In the most adverse of situations, it is this undying spirit which makes us invincible and endows us with us the capacity to hope and change the world. ‘Fortune favours the Brave / Bold’ is a

Continue reading "Fortune Favours the Brave | Expand the Idea |Opinion |Expand the Theme"

Earthworm consists of a cylindrical body of 10 to 20 cm length and 0.5 cm diameter. The body is divisible into 100-200 segments by circular grooves and external segmentation is corresponds to internal segments (metameric segments). Fourteen to sixteen segments have a

Continue reading "Earthworm | Explain about the Earthworm: Morphology and Anatomy"

We will discuss here about the organ and organ system. Digestive system –The system which is responsible for digestion of food by secreting different enzymes and absorption by blood is called digestive system. Digestive system consists of different organs like –mouth

Continue reading "Organ and Organ System | Cardiovascular System | Excretory System"

Here we will learn about animal tissues and their four types. Animal tissues: Animal tissues can be divided into four groups according to their functions. They are epithelial tissue, muscular tissue, connective tissue and nervous tissue.

Continue reading "Animal Tissues and Their Four Types | Simple Epithelial Tissue|Diagram"

The earliest memory I have of myself is in the hands of a factory owner who was giving me the final touches of paint and proudly proclaiming to himself that I shall be soon giving pleasure to many young boys and shall be setting off for new adventures.

Continue reading "The Autobiography of a Bicycle | Short Essay | English Essays"

I was hand-crafted with a lot of love and loads of warmth. Nestled in the remote hills of Assam, winters are daunting. Cut to that, an early morning commute to school is something which can be overwhelming to cover on foot through these fog-laden hills before even the onset

Continue reading "The Autobiography of an Old Coat | Short Essay | English Essays"

Today, I was dumped in the roadside bin callously and indifferently. It was as if I never existed in that little girl’s life anymore. All because I had lost a sole and become worn out and all right, all right! A couple of inches too small for her growing feet.

Continue reading "The Autobiography of an Old Shoe | English Essays | Shoe Showroom"

I am an anachronism in today’s world.Long before the advent of computers and e-mail and WhatsApp messaging system, the only form of communication that linked hundreds of people across the length and breadth of the country and outside was via me. I was the single most

Continue reading "A Letter from the Moment it is Posted till it Reaches its Destination"

Well, well, they were all so sceptical of me as I was put outside for display. People crowded outside the showroom, trying to sneak a look, both disbelieving and agape, at the same time. To imagine that a steel and iron structure of my girth could actually move without being

Continue reading "The Autobiography of a Motor-Car | The Life of a Motor-Car |"

I am playful, I am colourful, I flit around and spread beauty and gaiety and I am perhaps one of the most obvious examples when it comes to explaining the process of “metamorphosis”. There is no need for me now to mention that I am your friend, the “butterfly”.

Continue reading "The Autobiography of a Butterfly | I am your Friend, the “Butterfly”"

I am relentless in my pursuit and I am timeless. I do not stop, not as long as the last dredge in my battery seeps in, I keep moving forwards in my clock-wise motion. Neither success and failure halt me nor do happiness and sorrow define me.I am this timeless ability to keep

Continue reading "The Autobiography of a Clock | I am the Humble, Modest ‘Clock’"

I am born out of man’s need to take him to places on land in the fastest and most comfortable way. Just as all other inventions were borne out of man’s necessities, the growing needs of man to commute from one place to another and take his bag and baggage along with him

Continue reading "The Autobiography of a Railway Engine | I am the Humble Railway Engine"

Have you ever given it a thought, that what is the single most ubiquitous thing which proves it maximum utility to you come sun, come rain, come hail, and comesnow? I bet you haven’t. It is me, your humble umbrella. And though I may seem to be very ordinary, run of the mill

Continue reading "The Imaginary Adventures of an Umbrella | Autobiography of an Umbrella"

I am the life-source of all creatures in this planet. I know of no other movement but the onward retreat since for me retracing my footsteps is never an option. No matter how treacherous the terrain may be, no matter what the odd are piled against me, the best I can do

Continue reading "The Autobiography of a River | I am a river | River's Autobiography"

I was born to run which gave me the survival edge to flee from ferocious predators and am blessed with an superlative sense of balance and a strong survival instinct which lets me know just when to stay back and fight and when to flee. I am one of those rare creatures

Continue reading "The Autobiography of a Horse | A Horse's Life | Short Essay"

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