You must be wondering we have learned so many multiplication tricks for 2 digit numbers, so how is this going to be helpful. Well, Knowing new tricks and where the trick can be applied to get the answer quickly can make all the difference. 2 digit multiplication trick or double digit multiplication trick whose tens digit is the same is one of those tricks that we will explore today.
Basic Condition required to use the 2 digit Multiplication trick
When the ten’s place digit is the same and the unit’s place digits add up to 10 then you can apply a shortcut trick to easily multiply any 2 digit numbers.
2 digit multiplication trick whose tens digit is same
Now, let us see the steps in detail
Step 1:To get the unit’s place digit to multiply the unit’s place digit of both the numbers.
Step 2:To get the ten’s place digit to multiply the ten’s place digit with its consecutive(next) number.
Step 3:Place the result obtained in step 2 to the left of the result obtained in step 1.
Let us now practice some examples
Example 1: Multiply 26 x 24=? using the 2 digit Multiplication Trick
We observe that ten’s place digit of both numbers=2
and by adding the unit’s place digit of both numbers(6+4=10)we get 10.
Hence, we can apply this trick
Step 1: Multiplying the unit’s place digits we get
Unit’s place digit=6 x 4=24
Step 2: Multiplying ten’s place digit by its consecutive number we get
Ten’s place digit=2 x 3=6
Step 3: Placing the result of step 2 to the left of the result obtained in step 1 we get
624
Ans 26 x 24=624
Example 2: Multiply 43 x 47=? using the 2 digit Multiplication Trick
We observe that ten’s place digit of both numbers=4
and by adding the unit’s place digit of both numbers(3+7=10) we get 10
Step 1:Multiplying the unit’s place digits we get
Unit’s place digit=3 x 7=21
Step 2: Multiplying ten’s place digit by its consecutive number we get
Ten’s place digit=4 x 5=20
Step 3:Placing the result of step 2 to the left of the result obtained in step 1 we get
2021
Ans 43 x 47=2021
Example 3: Multiply 38 x 32=? using the 2 Digit Multiplication Trick
We observe that ten’s place digit of both numbers=3
and by adding the unit’s place digit of both numbers(8+2=10)we get 10
Step 1:Multiplying the unit’s place digits we get
Unit’s place digit=8 x 2=16
Step 2: Multiplying ten’s place digit by its consecutive number we get
Ten’s place digit=3 x 4=12
Step 3:Placing the result of step 2 to the left of the result obtained in step 1 we get
1216
Ans 38 x 32=1216
Example 4: Evaluate this: 65 x 65=? using 2 digit Multiplication Trick
We observe that ten’s place digit of both numbers=6
and by adding the unit’s place digit of both numbers(5+5=10)we get 10
Step 1:Multiplying the unit’s place digits we get
Unit’s place digit=1 x 9=09
Step 2: Multiplying ten’s place digit by its consecutive number we get
Ten’s place digit=7 x 8=56
Step 3:Placing the result of step 2 to the left of the result obtained in step 1 we get
5609
Ans 71 x 79=5609