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 …
Who doesn’t hate division of numbers? The decimals are unending. The numbers keep on increasing. Everything goes southwards if we miss a single point in between the steps. But what if we tell you there is a trick to make things simple? What if we tell you that you can identify which numbers can be …
We have learned and studied different types of numbers in our previous grades. They are natural numbers (starting from 1), whole numbers (starting from 0), integers (the combination of positive and negative numbers). In this chapter, we will study the Rational Numbers. Rational Numbers as we know are any numbers expressed in fraction, i.e in …
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 …
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