What do we mean by an equation? An expression is said to be an ‘equation’, when there is the left side and the right side, with the ‘equality’ sign in the centre. On the other hand, when an equation contains only a single variable, with the highest power of one, it is said to be …
What do you think a notebook, a matchbox and a mobile phone have in common? All these figures have four sides, and any structure with four sides is termed as ‘Quadrilateral’. The word itself gives us an idea of its meaning as the word ‘Quadri’ stands for ‘Four’ and the word ‘Lateral’ stands for ‘Sides’. …
In the previous chapter, we got introduced to the world of “Quadrilaterals”. Square, rectangle, rhombus are a few examples in this category. What if we tell you that you can construct a quadrilateral on your own? Wondering how? Well, some tools help you construct a quadrilateral. These tools not only help you build the entire …
Have you observed your mark-sheet carefully? In that, you will find all the records of your marks scored in the entire academics arranged in rows and columns. The mark-sheet contains information in the form of a ‘Data’. Many a time, we need to organise the data systematically, to draw meaningful interferences from any data. Wondering …
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 …
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