What do we get when we multiply 2 with 2? The answer is 4. What do we get if we multiply 7 with 7? The answer is 49. Now, what do we get if we multiply 5 with 5? We would get 25. That’s true for all of us. Now closely observe the equations that …
What comes to your mind when you see the number – 1729? Is it just an ordinary number like the rest? Not at all! There is a very intriguing story behind this number. The number is the famously called “Hardy-Ramanujan number”, among mathematicians. It is the smallest number which is a sum of two cubes …
Don’t your eyes roll on and ears hold up straight when you hear the word – Discount? It does, we know! Have you wondered if the shopkeeper is selling the items for a discount, how come he is still making a profit? In this chapter we will study the most important concepts of finance – …
We have already learned about algebraic expressions in our previous grades. In this chapter, we will move forward to an advanced learning technique of algebraic expressions. In this lesson, you will encounter several different concepts such as monomial, binomial, and others. Also, you will learn some important algebraic identities that will help you solve the …
We often check the depth of any water body before we jump into it. What does the word ‘Depth’ indicate here? It gives us an idea about the height of any structure or object. This height, or say, depth is a unique feature of the 3-D figures. Some classic examples of 3-D objects are sphere, …
If we ask, what is a volume? Your first answer will be related to that of a sound! Won’t it? You are right, but scientifically, not mathematically. In mathematics, the volume has an altogether different meaning. Volume in maths deals with space and area occupied by a particular item. For example, when you fill a …
Consider a number 45,00,00,000. Don’t you think it’s way too long to write or say? But what if we tell you a simpler way to write this? This number, mathematically, can be written as 4.5*10^8, and we read ‘10^8’ as ‘10 raised to the power 8’. But how does this form of expression come into …
A map is a miniature representation of a larger area. We use maps because we know that the actual geographical area won’t fit in. This means you reduce the size in such a way, that the proportions of the image are not disturbed. No wonder proportions play a key role in our day-to-day lives. Therefore, …
What if we ask you to find numbers, which when added gives us 29, and 100 when multiplied? Seems difficult? How do any numbers add up to 29 and at the same time be equal to 100 when multiplied? Now, wait for it. Take the numbers 25 and 4. When we add these numbers, we …
Collection of data is done on a large scale. All the collected data is depicted in the simplest form, such that, the information can be understood quickly just by taking a glance at it. What do you think this simplest form of representing data can be? Here comes ‘Statistics’ into the picture! It is a …
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