1.6⋅1075.84

Multiply 4 by 6. Place the ones digit (4) in the result line and carry the tens digit (2). There is one result line for each digit in 1075.84.

2 | ||||||

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

4 |

Multiply 4 by 1 and add the carried 2. Place the result in the next column in the result line. There is one result line for each digit in 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 |

Multiply 8 by 6. Place the ones digit (8) in the result line and carry the tens digit (4). There is one result line for each digit in 1075.84.

4 | ||||||

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

8 |

Multiply 8 by 1 and add the carried 4. Place the ones digit (2) in the result line and carry the tens digit (1). There is one result line for each digit in the 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 |

Multiply 5 by 6. Place the ones digit (0) in the result line and carry the tens digit (3). There is one result line for each digit in 1075.84.

3 | ||||||

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

0 |

Multiply 5 by 1 and add the carried 3. Place the result in the next column in the result line. There is one result line for each digit in 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 |

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 1075.84.

4 | ||||||

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

2 |

Multiply 7 by 1 and add the carried 4. 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 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 |

Multiply 0 by 6. Place the result in the next column in the result line. There is one result line for each digit in 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 |

Multiply 0 by 1. Place the result in the next column in the result line. There is one result line for each digit in 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 |

Multiply 1 by 6. Place the result in the next column in the result line. There is one result line for each digit in 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

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 1075.84.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 |

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

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

4 |

Add the numbers in each column. In this case, add 6+8+0+0+0+0, then place the 4 in the result line and carry the 1.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

4 | 4 |

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

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

3 | 4 | 4 |

Add the numbers in each column. In this case, add 0+1+8+2+0+0, then place the 1 in the result line and carry the 1.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

1 | 3 | 4 | 4 |

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

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

2 | 1 | 3 | 4 | 4 |

Add the numbers in each column. In this case, add 0+0+0+1+0+6, then place the 7 in the result line.

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

7 | 2 | 1 | 3 | 4 | 4 |

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

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

1 | 7 | 2 | 1 | 3 | 4 | 4 |

1 | .6 | |||||

⨯ | 1 | 0 | 7 | 5 | .8 | 4 |

6 | 4 | |||||

1 | 2 | 8 | ||||

8 | 0 | |||||

1 | 1 | 2 | ||||

0 | 0 | |||||

1 | 6 | |||||

1 | 7 | 2 | 1 | 3 | 4 | 4 |

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 3, so the answer must have 3 decimal places as well.

1721.344

Evaluate 1.6*1075.84