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 …
You must be well aware of variables, such as x,y,z, and constants such as 5, ⅜, 10. Whenever you see a combination of variables and constants, there is a good chance that it might be polynomial. You will be surprised to know that polynomial is hidden everywhere in one way or another, from your phone …
Word problems always make you sweat in stress. One reason for this is because of the confusing questions asked. For instance – try finding an answer to this question – Bob and Martha have 45 chocolates. They gave 15 chocolates to Cathy. How many chocolates does Bob have? All that we know is – Bob …
Are you familiar with the term ‘monomial’? A monomial is an algebraic expression which consists of one term. For example – 30. In this expression, there is no other term other than 30. In the same way, an expression that consists of four or more terms is termed as ‘Polynomial’. In simple terms, polynomials are …
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 …
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 …
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 …
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 …
Suppose you have to have Rs. 50/-, out of which you are told to keep Rs. 30/- to yourself. Excited, you go out to buy some chocolates. You know that your favourite chocolate costs Rs. 5 for each. And you need to buy 5 chocolates. What is the amount that you will get in return? …
How would you find an answer for the following given problem: 99 + _____ = 130. In Algebra, we make use of an ‘Algebraic Expression’, while solving these types of question. In this case, we may take the blank value as ‘X’ or any letter of your choice. An algebraic expression helps us to complete …
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