Mathematics is not only a subject in school that gives many people headaches. Nor is it a bunch of numbers, which are there without order or law.

Mathematics is a special world in which some completely different laws rules – De Morgan’s laws, Pythagorean theorem, laws of algebra, tautology etc.

Walking with me in this dense traffic of numbers and operations, rules and tricks to get to the goal easier, I promise that you will love mathematics at least 10% as much as I do!

The square of the length of the hypotenuse is congruent to the sum of the squares of the lengths of the legs.

c^{2 =} a² + b²

There is a “shortcut” for almost every operation in mathematics. In this session I will only reveal a few, but as I develop my blog pages and expand my horizons, you will be able to dive into this magical world of mathematics with me and discover tricks for “easy math”.

# Dividing by the number 5

#Multiplying by the Number 5

An easy way to multiply a number by 5 is to divide the number by 2 and then add a zero at the end of the result. This method works well when the number is even. For example, to multiply 14 by 5:

• Divide 14 by 2, which equals 7
• Add a zero to 7, making it 70
  So, 14 × 5 = 70

Note: This trick is a simplified way to understand multiplication by 5 using halving and place value, but for odd numbers, it’s best to multiply directly or use other methods.

# Easy Squaring

Squaring a double-digit number can be made simple using a special rule. Here’s how it works:

• Square the first digit.
• Multiply 2 by the first digit and the second digit.
• Square the second digit.
• Combine these results to get the final answer.

Let’s take the number 32 as an example:

• First digit: 3
• Second digit: 2

Step 1: Square the first digit
3² = 9

Step 2: Multiply 2 by the first digit and the second digit
2 × 3 × 2 = 12

Step 3: Square the second digit
2² = 4

Now, combine these results:

• The first part is 9 (from step 1)
• The middle part is 12 (from step 2)
• The last part is 4 (from step 3)

Since the middle part (12) is a two-digit number, we add the 1 to the first part:
9 + 1 = 10

So, the final answer is:
10 (adjusted first part) | 2 (remaining from 12) | 4

Which gives 1024.

Therefore, 32 squared is 1024.

# Percentage tricks

To quickly calculate 30% of 50, multiply the first digits 3 and 5, then add a zero:

3 × 5 = 15

Examples:

60% of 40 = 6*4 = 24

40% of 60 = 4*6 = 24

70% of 20 = 2*7 = 14

# Solving Large Numbers Without a Calculator by Factoring

If you encounter a math problem like this

28*21 + 188*49

use factoring large numbers to see if you can find the common one and draw it in front of the parentheses (brackets).

(7*4)*(7*3) + 188*49 =

7*4*7*3 + 188*49 =

(use 7*7 to get 49)

49*4*3 + 188*49 =

49(12+188) =

49*200 = 9800

CONCLUSION

All in all, now that you’ve just peeked beneath the surface, you see that there are countless crazy, fascinating, astonishing, clever, and fantastic tricks to solve any math problem.

Stay tuned 😊✨📢🎉