Numbers have helped us to count things easily. With the help of numbers, we can conveniently identify which collection of objects is bigger and arrange them in order. Numbers are used in many ways in different contexts. Calculations dealing with smaller numbers is easy and simple. But, is calculating bigger numbers as easy as the …
What is common between the three sequences mentioned below 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 -35, -30, -25, -20, -15, -10, -5 All of the above-mentioned sequences are Arithmetic progressions abbreviated as AP. And what do we mean by …
The world of numbers is infinite and interesting. Till now, we have understood the concepts of natural numbers, whole numbers, integers, and rational numbers. But now the question is, are all these numbers real? That question must have surely taken your breath away, but don’t you worry. In this chapter, we take a look at …
We all know Pythagoras theorem by now. But did you know it played a crucial role in proving that irrational numbers exist? Yes! A triangle with two sides except for hypotenuse, measuring 1 unit was taken into consideration. The length of the hypotenuse will thus be the square root of 2. By using various equations …
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 …
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 – …
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, …
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 …
Multiplication of Integers In the previous grade, we have already learned about Integers. In this chapter, we will add to that knowledge and advance our skills to carry out calculations with integers. Integers come with different properties that help us in their calculation. For instance – one of the properties of integers is – Closure …
You have drawn a square-shaped figure. Now, you are asked to divide that into four equal parts? How would you do it? It’s simple. You can divide the square into four equal parts by drawing two straight lines from the centre of two sides to the opposite side. But what if we ask you to …
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