**1. Multiplication of two 2 digit numbers**

**12*23 **

Follow these steps for numbers that do not return carryover,

Step 1 |
Multiply the last digits of both the numbers (2*3=6) |

Step 2 |
Cross multiply the digits of both numbers and add the cross multiplication (1*3+2*2=7) |

Step 3 |
Multiply the first digits of both the numbers (1*2=2) |

Multiplication of 12 & 23 results to 276

### Multiplication of 2 digit numbers

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**57*23**

Follow these steps in case of carryovers,

Step 1 |
Multiply the last digits of both the numbers (7*3=21) [Carryover 2 to step 2) |

Step 2 |
Cross multiply the digits of both numbers and add the cross multiplication (5*3+7*2=29)[Carryover 3 to step 3) |

Step 3 |
Multiply the first digits of both the numbers (5*2=10) |

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**2. Multiplication of any 3 digit numbers**

**103*213**

Follow these steps for numbers that do not return carryover,

Step 1 |
Multiply the last digits of both the numbers (3*3=9) |

Step 2 |
Cross multiply the last 2 digits of both the numbers and add the cross multiplication (0*3+3*1=3) |

Step 3 |
Cross multiply first & last digits as well as multiply the middle digits of both the numbers and add the results (1*3+0*1+3*2=9) |

Step 4 |
Cross multiply the first 2 digits of both the numbers and add the cross multiplication (1*1+0*2=2) |

Step 5 |
Multiply the first digits of both the numbers (1*2=2) |

Multiplication of 103 & 213 results to 21939

**879*686**

Follow these steps in case of carryovers,

Step 1 |
Multiply the last digits of both the numbers (9*6=54) [Carryover 5 to Step 2] |

Step 2 |
Cross multiply the last 2 digits of both the numbers and add the cross multiplication (7*6+9*8=114). [Carryover 11 to Step 3] |

Step 3 |
Cross multiply first & last digits as well as multiply the middle digits of both the numbers and add the results (8*6+7*8+9*6=158) [Carryover 16 to Step 4] |

Step 4 |
Cross multiply the first 2 digits of both the numbers and add the cross multiplication (8*8+6*6=106). [Carryover 12 to Step 5] |

Step 5 |
Multiply the first digits of both the numbers (8*6=48) |

Multiplication of 879 & 686 results to 602994

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**3. Multiplication of any two digit number with 11 **

**25*11**

Follow these steps for numbers that do not return carryover,

Step 1 |
Separate the numbers as 2_5 |

Step 2 |
Add both digits & place the sum in the middle i.e. 2+5=7 |

The answer is 275.

**75*11**

Follow these steps in case of carryovers,

Step 1 |
Separate the numbers as 7_5 |

Step 2 |
Add 7+5=12. Add carryover to the first digit i.e. 7+1=8 |

The answer is 825.

### Multi 2 digit with 11

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**4. Multiplication of any number with 11 **

**672827*11**

Step 1 |
Add 0 to the extreme right digit. Then add each digit to the respective preceding digit as below, 7+0=7 |

Multiplication of 672827 & 11 results to 7401097.