by extramarks - Academics - July 8, 2019July 8, 2019 Celebrate Maths 2.0 Day with Maths Tips & Tricks The world of numbers is extremely fascinating! You can mix them in infinite combinations to get solutions for all problems at hand. Right from aerodynamics to architecture, you’ll find them everywhere. Even when you calculate the discount on your favourite t-shirt, you end up using numbers, aka, mathematics. But, wherever there’s mathematics, there’s a big ‘but’ lurking somewhere in the background. Its concepts can confuse the young and the old alike. So, this Maths 2.0 Day, we present to you some effective tips and tricks to help ease off some of that confusion and make mathematics a little more friendlier. MULTIPLYING THE FUN We have all learnt multiplication tables till 12, 13 or maybe even 14; but, beyond that, we all draw a blank. We have to resort to pen and paper or calculators to derive answers. But what if we told you that multiplying specific cases of big numbers mentally is possible and simple? Well, it really is. Here’s how. So, here’s a trick that’ll help you multiply big numbers, mentally. i. Multiplying a given number by 4: First, double the given number. And then, double the new number obtained. For Example: Let’s multiply 1,223 with 4. Double of 1,223 equals to 2,446 and the double of 2,446 equals to 4,892. Hence, 1,223 x 4 = 4892. i. Multiplying a two-digit number by 11: Separate the two digits of the number and add them. Place the new obtained number between the two digits. (If the number obtained is greater than 9, then put the one’s digit in the space between them and carry-forward the ten’s digit.) For Example: Let’s multiply 57 with 11. Adding the two digits (5 + 7), will give us 12. Placing the one’s digit (12) between the two digits (5_7), will give us 527. Finally, carry-forwarding the ten’s digit (12), will give us 627. Hence, 57 x 11 = 627. DIVIDING THE DIFFICULTIES Essentially, division is splitting something into equal parts. It might just be dividing a pie into equal parts or dividing a jar full of marbles among your friends. But, one thing that’s for sure is that you’ll require division in both, your personal and professional lives. Thus, making it even more critical for you to get your concepts right. So, here are a few division tricks to put your mind at ease. i. Checking divisibility by 3: Add all the digits of the given number. If the sum is a multiple of three, then the number will be divisible by three. For Example: Let’s check whether 156 is divisible by 3 or not. Adding the three digits (1 + 5 + 6), will give us 12. And, since 12 is divisible by 3, 156 is divisible by 3. *Tip – You can keep adding till you do not get a single digit and then check if that is a multiple of 3. ii. Checking divisibility by 6: Add all the digits of the given number. Then, check if the sum is divisible by 2 and 3. If the sum is divisible by both, two and three, the number is divisible by six. And why does this happen? Because two and three are the prime factors of the number- six. For Example: Let’s check whether 1,54,608 is divisible by 6 or not. Adding all the digits (1 + 5 + 4 + 6 + 0 + 8), will give us 24. And, since 24 is divisible by both, 2 and 3, the number 1,54,608 is divisible by 6. SIMPLIFYING SQUARING Squaring a number can make anyone sweat. But, if you want to pursue engineering or you dream of becoming an artist one day, you’ll need to learn how to find squares of a given number. You won’t be able to evade the fearful square, so, we thought we’ll help you turn this foe into a friend. All you need is a cool drink and a calm state of mind. i. Squaring two-digit numbers ending with five: Take the digit at ten’s place and add one to it. Then, multiply the digit obtained with the original digit. Lastly, place the result of the previous step in front of ‘25’ to get your final answer. For Example: Let’s find out the square of 75. Adding one to the digit at ten’s place (75) will give us 8. Multiplying the two (7 x 8), will give us 56. Finally, putting it in front of ‘25’ will give us 5625. Hence, 75 x 75 = 5625. After learning these easy maths tricks, we’re sure that your fear of mathematics would have subsided. That said, if you’re looking for other easier and effective ways to make maths more fun and engaging, check out Extramarks- The Learning App. We have created various modules that will help in getting your basics and concepts right. Our easy-to-comprehend modules are loaded with high-quality content and animation that will take the ‘boring’ out of maths and your life. So, brace yourselves for the fun side of maths. Happy fun learning to you!