In this example768 are the last 3 digits which we. The left out number is 1092.
It is general technique which can be applied to any 2 digit number.
Shortcut to find cube of 3-digit number. So it clarifies unit digit in the answer is 3. We find that the nearest cube. Have a look at the simplest way to find the cube of all two-digit numbers.
Divide the 1st part by 2nd part. Let the three digit number whose square is to be calculated be XYZ. Digital sum of cube Digital sum of cube root.
How to find square root of a 3 Digit Number. The easy way to find the Cube of a Two-Digit Number is by using a b³ a³ 3a²b 3ab² b³. Add both these rows as shown below.
Find the cube of 11. 2 3 8. 9 3 729 9 0.
Anurupyena Sutra is shorcut to find cube in Vedic Mathematics. Find number at the left part of slash. Unit digit is 3 so definitely unit digit of its cube root will be 7 as per chart.
10 3 1000 0 0 3 6 9. Here it is 185 8 9. Striking out the last three digits 1092 727.
Here we take 72 8. Last digit last digit of SQ Z STEP 2. Here Take last digit in.
3 Cube of a Number Same Number. How do you find the cube of a 2 digit number. Ie 3 3 27 of number.
6 3 216 Ends with 6 Advertisement. Find the cube root of 1092727. For further numbers ie.
Applying this pattern to our problem cube 300763 we deduce that the last digit must be 3 3 27 7 mod 10. Shortcut Tricks of Square Cubes For Bank ExamsIn the above example the square of 3 is written as 09. Cancel the first two digits of the cube as a result you should get a 2 or 3 digit number.
Now strike off the last 3 digits of the given number. 40 3 64000 Note. Cube of 1st part c 8 x 8 x 8 512.
Also learn more about Cube and Cube Roots of a Number with more tips and tricks. How to find cube of any 3-digit numbers the best shortcut for any competitive examshttpsyoutubeJDX96Oehvu0. Last digit is 7 therefore the last digit of the cube root is 3.
To get the tens place digit We find that the nearest square to the first group 7 is 4 and 42 Therefore tens place digit2. 4 3 64 5 3 125 6 3 216 7 3 343 8 3 512. 1 and 4 are in the ratio of 14 So write next three numbers in the ratio of 14.
238 328 Now find the nearest cube of the first 3 digit from the left ie 238. We need to strike out the last 3 digits of the given number. Write a cube of 1 in four times on the right side as shown in the image.
Then write double the middle of two numbers as shown in the image. Firstwe need to find the cube root of the last digit of the given number. We start by grouping the numbers in pairs of two from the right as follows.
The nearest perfect cube lesser than 1092 is 1000. A curious pattern emerges. Anurupyena Sutra Shorcuts to Find Cubes using Vedic Mathematics.
3rd Example Find the cube root of 185193 1st step. So here it is 185193. Let us have a look at the method first.
30 3 27000 8 2 5 8. Cube roots need be grouped in a group of 3 from R LThus the number of groups formed will be Number of digits in the cube rootFor example for perfect cubes. Write double of second and third digit below them.
7 3 343 Ends with 3 8 3 512 Ends with 2 9 3 729 Ends with 9 10 3 1000 Ends with 0 See all the end digits of 1 to 10s cube is different. 1728 will be grouped as 1 728. Split the number as like ie 7 28 or 72 8.
If last digit of a number is 1 last digit of its cube must be 1. Now we will be using this method only but in a smart way so that you can find out the cube in cubes can be solved in exams in just a few seconds and without writing all the steps. Thus the remaining digits of the cube root are 10.
10 3 1000 0 0. Second Last Digit 2YZ carryover from STEP 1. Step 1.
So 8 3 512 2 mod 10 where mod is an abbreviation for modulo and 2 3 8 8 mod 10. Let us also note that. Now find the closest perfect cube and find the cube root of that cube.
Hence the cube root is 103. Ab 3 a 3 3a 2 b 3ab 2 b 3. Cube of 10 1000 cube of 2 digit number 1000 ie not a 3 digit number.
If we cube a number modulo 10 twice we get back to where we started. 4 5 6 so on the squares used in the calculation will be the square itself. Three digits 167 is another part of the number and then consider unit digit always in the second part.
Step2- then first three digit number is 857 and it is equal or less than nine cube so it is replace by 9. From the above table we can say that it is a cube value unit digit of 3. Sq XYZ is calculated in following manner.
So by seeing the last digit we can predict the cube root of that number. 3 3 27. Ie 728 9.
The easy way to find the Cube of a Two-Digit Number is by using a b³ a³ 3a²b 3ab² b³. So the answer must be a number in between 60 and 70 with last digit. 20 3 8000 1 1 4 7.
Third Last Digit 2XZ Sq Y carryover from STEP 2. 1 3 1. And here 7 is in the unit digit.
Separate last three digit of the number by a slash. Put the number found in step 1 at the ones place and the number in step 2 at tens place. Here the last digit is 8.
857375 step1- 375 ends with 5 so replace the unit cube as 5. U hav to find the first three digit number which is equal or lesser than the unit cubes. Signup for Free Mock Test.
Here we can take a 8 b 9 c 8³ 512 Step 3. This is JUST applicable for numbers 1 2 and 3 as the squares of these numbers are in single digits. Find cube of tens digit and write it down as first digit.
The nearest cube is 216. We all know to solve the cube of a number we use the formula a b3 which is a3 3a2b 3ab2 b3. To get the units place digit.
Solving Cube of a Two-Digit Number is easier after you identify the step by step process. 9 3 729. 11 22334455 Here we calculate the cube of a number same nimber which means 1122334455667788 and 99.
Thus if the given number is perfect cube then the last digit will help to find the cube root.