15.6⋅7.123

Multiply 3 by 6. Place the ones digit (8) in the result line and carry the tens digit (1). There is one result line for each digit in 7.123.

1 | ||||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

8 |

Multiply 3 by 5 and add the carried 1. Place the ones digit (6) in the result line and carry the tens digit (1). There is one result line for each digit in the 7.123.

1 | 1 | |||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

6 | 8 |

Multiply 3 by 1 and add the carried 1. Place the result in the next column in the result line. There is one result line for each digit in 7.123.

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 |

Multiply 2 by 6. Place the ones digit (2) in the result line and carry the tens digit (1). There is one result line for each digit in 7.123.

1 | ||||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

2 |

Multiply 2 by 5 and add the carried 1. Place the ones digit (1) in the result line and carry the tens digit (1). There is one result line for each digit in the 7.123.

1 | 1 | |||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

1 | 2 |

Multiply 2 by 1 and add the carried 1. Place the result in the next column in the result line. There is one result line for each digit in 7.123.

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 |

Multiply 1 by 6. Place the result in the next column in the result line. There is one result line for each digit in 7.123.

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 | ||

6 |

Multiply 1 by 5. Place the result in the next column in the result line. There is one result line for each digit in 7.123.

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 | ||

5 | 6 |

Multiply 1 by 1. Place the result in the next column in the result line. There is one result line for each digit in 7.123.

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 | ||

1 | 5 | 6 |

Multiply 7 by 6. Place the ones digit (2) in the result line and carry the tens digit (4). There is one result line for each digit in 7.123.

4 | ||||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 | ||

1 | 5 | 6 | ||

2 |

Multiply 7 by 5 and add the carried 4. Place the ones digit (9) in the result line and carry the tens digit (3). There is one result line for each digit in the 7.123.

3 | 4 | |||

1 | 5 | .6 | ||

⨯ | 7 | .1 | 2 | 3 |

4 | 6 | 8 | ||

3 | 1 | 2 | ||

1 | 5 | 6 | ||

9 | 2 |

Multiply 7 by 1 and add the carried 3. Place the ones digit (0) in the result line and carry the tens digit (1). There is one result line for each digit in the 7.123.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 |

Add the numbers in each column. In this case, add 8+0+0+0, then place the 8 in the result line.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

8 |

Add the numbers in each column. In this case, add 6+2+0+0, then place the 8 in the result line.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

8 | 8 |

Add the numbers in each column. In this case, add 4+1+6+0, then place the 1 in the result line and carry the 1.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

1 | 8 | 8 |

Add the numbers in each column. In this case, add 0+3+5+2+1, then place the 1 in the result line and carry the 1.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

1 | 1 | 8 | 8 |

Add the numbers in each column. In this case, add 0+0+1+9+1, then place the 1 in the result line and carry the 1.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

1 | 1 | 1 | 8 | 8 |

Add the numbers in each column. In this case, add 0+0+0+0+1, then place the 1 in the result line.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

1 | 1 | 1 | 1 | 8 | 8 |

Add the numbers in each column. In this case, add 0+0+0+1, then place the 1 in the result line.

1 | 5 | .6 | ||||

⨯ | 7 | .1 | 2 | 3 | ||

4 | 6 | 8 | ||||

3 | 1 | 2 | ||||

1 | 5 | 6 | ||||

1 | 0 | 9 | 2 | |||

1 | 1 | 1 | 1 | 1 | 8 | 8 |

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of 4, so the answer must have 4 decimal places as well.

111.1188

Multiply Using Long Multiplication 15.6*7.123