What is the square of 384?
Step 1: To begin with ignore the 3 of 384. You are left with only 84, a two digit number. Using the method of squaring 2 digit numbers, find the square of 84. We get the answer as
Square of 8 | twice of 8 X 4 | square of 4
64 64 16
7056 (consolidating the result obtained above)
Step 2: This step is new and different from what we’ve learned in the previous post for squaring 2 digit numbers. Watch carefully.
We have to multiply the first and last digits of our original number and double it. Essentially, that is multiplying together 3 and 4 and then doubling it. Hence we get 24.
Add this number directly to the two left hand digits of our number obtained from the first step.
7056
Add 24 to 70. 70+24=94. So 7056 gets converted to 9456.
Step 3: In the first step we left out the first digit of our number and squared the last two digits. Now we will forget about the unit’s digit 4 and square the first two digits i.e. 38 as before just omitting to square the last digit 8.
Square 38 as a regular 2 digit number, except that you omit the 8 squared.
Square of 3 | twice of 3 X 8
9 | 48
Step 4: Consolidating this with the result obtained in step 2,
9 | 48 | 9456
14 7 456
Hence the answer is 147456.
Step 1: To begin with ignore the 3 of 384. You are left with only 84, a two digit number. Using the method of squaring 2 digit numbers, find the square of 84. We get the answer as
Square of 8 | twice of 8 X 4 | square of 4
64 64 16
7056 (consolidating the result obtained above)
Step 2: This step is new and different from what we’ve learned in the previous post for squaring 2 digit numbers. Watch carefully.
We have to multiply the first and last digits of our original number and double it. Essentially, that is multiplying together 3 and 4 and then doubling it. Hence we get 24.
Add this number directly to the two left hand digits of our number obtained from the first step.
7056
Add 24 to 70. 70+24=94. So 7056 gets converted to 9456.
Step 3: In the first step we left out the first digit of our number and squared the last two digits. Now we will forget about the unit’s digit 4 and square the first two digits i.e. 38 as before just omitting to square the last digit 8.
Square 38 as a regular 2 digit number, except that you omit the 8 squared.
Square of 3 | twice of 3 X 8
9 | 48
Step 4: Consolidating this with the result obtained in step 2,
9 | 48 | 9456
14 7 456
Hence the answer is 147456.