Dear Readers

In this post we have written about some basic **SHORTCUTS FOR MULTIPLICATION** which can be useful to you while solving simplification questions or any other questions in maths which involve multiplication . What we did basically is break the numbers which makes the question easy to solve and save your time also in the exams .

So Read here the **SHORTCUTS FOR MULTIPLICATION **

**To multiply a number by 11 :**

121 X 11Step 1: Write the unit digit as it is i.e., 1

Step 2: Add the ten’s and unit digit

2+1 =3 (31)

Step 3: Now, Add the Hundred’s and ten’s digit

1+2=3 (331)

Step 4 : Write the hundred’s digit as it is

1

Therefore the Answer will be**1331****To multiply a number by 12:**

Apply this formula

**a X 10 + a X 2 = b**487 X 12

487 X 10 + 487 X 2 = 4870 + 974

=**5844**-
**To multiply a number by 13 :**

Apply this formula

**a X 10 + a X 3 = b**487 X 13

487 X 10 + 487 X 3 = 4870 + 1461

=**6331** **To multiply a number by 14 :**

Apply this formula

**a X 7 = b**

b X 2 = c487 X 14

487 X 7= 3409

3409 X 2 =**6818****To multiply a number by 15 :**

Apply this formula

**a X 10 + a X 5 = b**487 X 15

487 X 10 + 487 X 5 = 4870 + 2435

=**7305****To multiply a number by 16 :**

Apply this formula

**a X 8 = b**

b X 2 = c487 X 16

487 X 8 = 3896

3896 X 2 =**7792****To multiply a number by 19 :**

Apply this formula

**a X 20 – a = b**487 X 19

487 X 20 – 487 = 9740 – 487

=**9253****To multiply a number by 21 :**

Apply this formula

**a X 7 = b**

b X 3 = c487 X 21

487 X 7 = 3409

3409 X 3 =**10227****To multiply a number by 22 :**

Apply this formula

**a X 2 = b**

b X 11 = c487 X 2 =974

974 X 11 =**10714****To multiply a number by 23 :**

Apply this formula

**a X 20 + a X 3 = b**487 X 20 + 487 X 3 = 9740 + 1461

=**11201****To multiply a number by 24 :**

Apply this formula

**a X 8 = b**

b X 3 = c487 X 8 = 3896

3896 X 3 =**11688****To multiply a number by 25:**

Apply this formula

**a X 20 + a X 5 = b**487 X 20 + 487 X 5 = 9740 + 2435

=**12175****To multiply a number by 28:**

Apply this formula

**a X 30 – a X 2 = b**487 X 30 – 487 X 2 =14610 – 974

=**13636****To multiply a number by 28 :**

Apply this formula

**a X 30 – a = b**487 X 30 – 487 = 14610 -487

=**14123**