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, …
Read this story carefully. Once upon a time, a king was very happy with the inventor of Chess and asked him to demand anything in return. The inventor humbly said, just place a single grain of rice in the first square of the chessboard. Then two grains on the second square, four grains on the …
Open a notebook, and carefully observe the right-hand side and the left-hand side of it. You will observe that both parts are exactly the same. We can say they are symmetrical. Now there is a dividing line between the left side and the right side, that’s called the axis of symmetry. If you observe carefully …
Can you tell us the difference between a rectangular drawing and a rectangular box? If you are thinking that both are one and the same, then you are wrong. A rectangular drawing is a 2D shape because it has two important factors – i.e the length and the breadth. Whereas a rectangular box is a …
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 …
You have 10 numbers ranging from 1 to 10, which are randomly arranged. These numbers make up your data. Now, if asked to find the smallest and the biggest number, you would simply arrange your data in an ascending order and provide your answer. This process is referred to as ‘Data Analysis’. Now to find …
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