Some of us may have trouble juggling numbers. Math problems often require long procedures to solve, and we can all commit mistakes. For example, a problem involving square roots of logarithms involve a very long calculation. Tricks and shortcuts are the fastest way to solve a math problem within a few minutes.
Benefits of Math Tactics
Math can sometimes present challenges, particularly when dealing with complex calculations. Math tricks and shortcuts can significantly enhance your mathematical prowess. Here are some compelling reasons to learn these techniques:
Enhanced Efficiency
Math tricks and shortcuts serve as invaluable tools for solving problems swiftly. By bypassing lengthy procedures, these techniques enable you to arrive at solutions within minutes, saving you valuable time and effort.
Increased Confidence
Mastering math tricks instills a sense of confidence in problem-solving abilities. Equipped with these specialized techniques, you can approach math problems with greater self-assurance, knowing that you have effective tools at your disposal.
Improved Speed and Accuracy
The fundamental operations of addition, subtraction, multiplication, and division form the bedrock of complex mathematical questions. By learning tricks specific to these operations, you can perform calculations swiftly and accurately, minimizing the risk of errors.
Wide Applicability
Math tricks possess versatility and can be applied across various areas of mathematics. Once you have mastered these techniques, you can leverage them to solve advanced problems in algebra, geometry, calculus, and other mathematical disciplines, expanding your problem-solving repertoire.
Simplicity and Elegance
Math tricks often derive their power from elegant simplicity. Instead of relying on complex algorithms or formulas, these shortcuts are often based on clever observations and patterns. They provide a streamlined approach to tackle seemingly intricate problems, breaking them down into more manageable steps.
Fascination and Enjoyment
Embracing math tricks can introduce an element of fascination and enjoyment to the world of mathematics. When you effortlessly apply these techniques to solve problems, you not only impress yourself but also captivate the attention of your peers. Mathematics becomes a realm of awe-inspiring possibilities and enjoyable challenges.
With practice, you’ll discover that math problems become more approachable. The benefits extend beyond immediate problem-solving, equipping you with valuable skills to excel in your mathematical endeavors.
Here are ten math tactics that will amaze you and friends. By memorizing and practicing these tricks, you will find math problems a piece of cake.
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1)
Adding two-digit numbers left to right
If you want to calculate the sum of two 2-digit numbers, try this method. It also makes it easy to calculate sums in your head. Here we’ll calculate the sum of 84 and 96.
84 + 96 =
- Add numbers on tens place and write answer with second digit of first number. 84+94 = 174
- Add the second digit of second number to sum. 174+6 = 180.
84 + 96 = 180
2) Subtracting a number from 1000
Subtract each digit but minus all digits from ten. Then subtract last digit from nine.
- Subtract the 5 from 9. You will get four.
- Again subtract five from nine. The answer will be four again.
- Now subtract four from ten. It will be six.
- The answer is 446.
3) Multiplying an even number by 5
Multiplying a large number by five can be difficult sometimes. This trick will help you solve the multiplication without using any calculating device. Keep in mind that there are two types of numbers, odd and even. So this trick will be different for both odd and even numbers.
For example, you want to multiply 46 by 5. Follow these steps to solve it:
46 x 5 =
- Cut the number being multiplied by five into halves. Or you can divide the number by 2. So, the half of 46 is 23
- Add a zero to the number we found. In this way, the 23 become 230. That is the answer of 46 multiplied by 5.
4) Multiplying an odd number by five
If you want to multiply 29 by 5, you can solve it as:
29 x 5 =
- Subtract one from the number getting multiplied. By subtracting one from twenty-nine, we get 28.
- Now, cut this number in half or divide by 2. The twenty-eight will become 14. Write down five at the end of the number. It means the 14 will get written as 145. It is the answer.
29 x 5 = 145
5) Division shortcuts
Here are some ways to determine whether a number can be divided evenly:
- A number is divisible by ten if it ends at 0.
- A number ending at 0 or 5 gets divided by 5.
- A number ending at an even number is divisible by 2. As 0
- A number gets divided by three if all the numbers get added and divided by 3. For example, 39 is divisible by three because 3 + 9= 12, and 12 is divided by 3.
6) Calculating percentage
To get the percentage of any number like 6% of 253, you can follow these steps:
6% of 253
- Move the decimal point to one digit. So, the 253 will become 25.3.
- Divide the answer found by 2. So, it will be 25.3/2 = 12.65.
- In this way, you can calculate the percentage of any number concerning 5%.
6% of 253 = 12.65
7) Multiplying large numbers
Multiplying large numbers can be very tricky. Follow these steps to get multiple a large number.
For example, you want to multiply 40 and 260.
Multiply 40 and 260
- Divide the first number by two to get its half. So forty will become twenty.
- Double the second number. So, 260 will become 520.
- Multiply the answers. Forty multiplied by two hundred sixty gives 10400, which is also the answer to the actual question.
40 x 260 = 10400
8) Squaring a two-digit number
Squaring a number can be difficult sometimes. Try this shortcut for getting a square of a two-digit number like 46.
Square of 46
- Add the last digit of the number to the whole number itself. 46 + 6 = 52.
- Multiply the number with the first digit of the actual number. It means 52 x 4 = 208. Square the last digit of the number. The square of four is equal to sixteen.
- Append the product to the answer of the first edition, and you will get the answer in 2016. Now add one into the digits at the second decimal place, and you will get the answer as 2116.
Square of 46 = 2116
9) Squaring a two-digit number ending in 5
For instance, you want to calculate the square of 45, follow these steps:
Square of 45
- Multiply the first digit by itself and add one into it. So, the answer of [ 4 ( 4 + 1) ] will be 20.
- Now put 25 at the end, and it will become 2025. So, this is also the square of the original digit 45.
Square of 45 = 2025
10) Memorizing the value of pi
Pi plays a most significant role in math. Calculations related to volumes, areas, radii, and circumferences involve pi. We know that pi equals 22/7 as a fraction. But in decimal numbers, we forget the exact value. You can remember the value of the first seven digits of the decimal fraction of pi by memorizing this line:
“How I wish I could calculate pi.”
Calculate how many letters there are in every word of this line. And that will be the answer of the pi.
3.141592 is the value of pi.
Conclusion
These tricks help you solve problems quickly and with less chance of making mistakes. You can use them in different areas of math, such as algebra and geometry. What’s cool is that these tricks are actually pretty clever and straightforward. As you practice these tricks, you’ll find that math problems aren’t as tricky as they seemed before. So, give them a try, and you’ll see that math can be a cool adventure! 🧮🚀
