SHORTCUT TO MULTIPLY A TWO DIGIT NUMBER BY A SINGLE DIGIT

About the shortcut to multiply a two digit number by a single digit

"Shortcut to multiply a two digit number by a single digit" is the stuff much needed to the children who study math in schools.

Students are able to remember answer for

"Single digit number x Single digit number"

Example:

6 x 7 = 42 8 x 9 = 72 4 x 9 = 36

Always it is difficult for them to remember answer for

"Two digit number x Single digit number"

and

"Two digit number x Two digit number"

Here we have given shortcuts to find answer for the above multiplications.

Two digit number x Single Digit Number

Steps to be followed to understand the above shortcut :

Step 1 :

First take the digit at ten's place of two digit number and multiply it by the given single digit number.

(2x7 = 14 in the above example)

Step 2 :

Add "zero" at the end of step1 value.

(14 -----> 140 in the above example)

Step 3 :

Multiply the unit digit of two digit number and the given single digit number.

(4x7 = 28 in the above example)

Step 4 :

Add step 2 and step 3 values and you will get the answer.

(140 + 28 = 168 in the above example)

That's it.

Try yourself :

34 x 8 = ? 49 x 7 = ? 67 x 4 = ?

In this way you can try a lot.

Two digit number x Two digit number

This method is explained for "1" at the ten's place of both the two digit numbers (Times Table)

Method 1 :

Method 2 :

Steps to be followed to understand both the methods:

Step 1 :

First take one of the two digit numbers and multiply it by 10.

Step 2 :

Multiply the unit digit of other two digit number by 10.

Step 3 :

Multiply unit digits of both the numbers.

Step 4 :

Add all the above three values and you will get answer.

That's it

Try yourself:

17x18 = ? 18x19 = ? 15x19 = ?

In this way, you can try a lot.

Beware!

To use these shortcuts, you must have much practice on these. Otherwise, the shortcuts explained above will not work properly and you may not be able to get correct answer. So, please do much practice on these shortcuts using different numbers.

Apart from this "Shortcut to multiply a two digit number by a single digit", to know more about other math shortcuts, please click on the links given below.