Mathematics is an annoying subject because it is full of numerical calculations. In fact, the formulas used can be shortened, for example by using the Sohcahtoa formula.
Actually, mathematics is often found in everyday life, to calculate total spending, expenses, returns from purchases, and so on. Learning math can also help train the brain to think logically and train your accuracy.
Tips for Solving Math Problems
You can use the following formulas to speed up the work on math problems and get faster result. We have shared many tips and tricks to make the calculation faster.
Square of Five End Numbers
The way to calculate the square of numbers with a five ending you can calculate with the next sequential number. Then you can immediately add the number 25 behind the calculation result. See the following examples.
Question:
What is the value of 65 squared?
Answer:
You can multiply the number 6, with the number after that, namely 7, 6 times 7 the result is 42. Save.
Then add the 25 behind it to make 42 25. The result is 4225. That’s it!
Question:
What is the value of 105 squared?
Answer:
You can multiply the number 10, with the number after that, which is 11, 10 times 11 the result is 110. Save.
Then add the 25 behind it to make 110 25. The result is 11025.
The Square Of Two-Digit Numbers Starts With The Number Five
You can do an easier way of calculating using the Sohcahtoa formula, but you can also see the following method.
The first thing you have to do is add the number 25 with the ones. Then square the units number, but remember! Especially for units 1, 2, 3, the square results must be written 01, 04, 09. Then the result is a combination of these methods. See the following examples.
Question:
What is the value of 51 squared?
Answer:
You can add the numbers 25 and 1 (the ones behind 5), 25 plus 1 is 26. Save.
Then square the units digit, 1 squared is 01 (according to the instructions above).
The end result is to combine the two methods above to become 2501.
Question:
What is the value of 59 squared?
Answer:
You can add the number 25 with the units number behind it, namely 9, 25 plus 9, the result is 34. Save.
Then square the number 9, the result is 81.
The final result is to combine the two methods above to become 3481,
Square Two-Digit Numbers with One End
The way to do this is simply by squaring the whole number, then adding that number to the whole number. The end result is the merging of the two steps. See the following examples.
Question:
What is the value of 61 squared?
Answer:
You can start by squaring 60, or 60 x 60, the result is 3600. Save.
Then add the number 61 with 60, 61 + 60 the result is 121. Save.
The end result is by adding the two steps above, 3600 + 121, which is 3721.
Question:
What is the value of 21 squared?
Answer:
You can start by squaring 20, or 20 x 20, the result is 400. Save.
Then add 21 and 20, the result is 41. Save.
The end result is by adding the two steps above to 400 plus 41, the result is 441.
Multiply One by Number One
In this way, you can start by writing down the numbers, then inserting the numbers taken from the sum of the two numbers in question. But be careful if the sum exceeds 9, then the tens digit is added to the first digit. See the following examples.
Question:
What is the value of 24 times 11?
Answer:
This means that you have the first number 2 and the last number 4, while the middle number is searched first by adding 2 and 4, the result is 6.
Then enter the number 6 between the first number 2 and the last number 4. The result will be 264.
Question:
What is the value of 67 times 11?
Answer:
This means that you have the leading number 6 and the last number 7. Then add the number 6 and number 7, the result is 13. Since this result exceeds the number 9, it means that the number 6 is added to the 1 taken from the number in front of 13.
Multiply One or Two Numbers by 99
The way to calculate it is to reduce the number with the number 1, then subtract the number 100 with that number. While the end result is by combining the two steps. See the following example.
Question:
What is the value of 15 times 99?
Answer:
The trick is to first reduce the value of 15 with the number 1, the result is 14. Save.
Then the number 100 is reduced by 15, the result is 85. Save.
The end result is by combining the two steps above, namely 14 and 85, the result is 1485.
Multiplication of even numbers and 1.5 2.5 and so on
You can do how to multiply this number by following this method. The first is to multiply the multiplier by the number 2, then the number multiplied is divided by 2. The final result is to multiply between the first and second steps. See the following example.
Question:
What is the value of 16 times 4.5?
Answer:
First, you multiply 4.5 by the number 2, the result is 9. Save.
Divide the number 16 by the number 2, 16: 2 the result is 8. Save.
Furthermore, the results multiplied, which is 9 x 8 the result is 7.2.
Multiply One Digit Or Two Digits By 101
The first method is to write down the number twice. Then at a certain number, insert a comma or zero. See the following examples.
Question:
What is the value of 27 times 101?
Answer:
The answer is write 27 and 27 combined, the result is 2727.
Question:
What is the value of 4 times 101?
Answer:
The answer is to add a zero to the middle of the number between 4 and 4, the result is 404.
Those are tips for solving math problems quickly using the Sohcahtoa formula. Hope you find it useful!