3.14⋅17

Multiply 7 by 4. Place the ones digit (8) in the result line and carry the tens digit (2). There is one result line for each digit in 17.

2 | |||

3 | .1 | 4 | |

⨯ | 1 | 7 | |

8 |

Multiply 7 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 17.

2 | |||

3 | .1 | 4 | |

⨯ | 1 | 7 | |

9 | 8 |

Multiply 7 by 3. Place the ones digit (1) in the result line and carry the tens digit (2). There is one result line for each digit in 17.

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

Multiply 1 by 4. Place the result in the next column in the result line. There is one result line for each digit in 17.

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

4 |

Multiply 1 by 1. Place the result in the next column in the result line. There is one result line for each digit in 17.

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

1 | 4 |

Multiply 1 by 3. Place the result in the next column in the result line. There is one result line for each digit in 17.

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 |

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

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 | |

8 |

Add the numbers in each column. In this case, add 9+4, then place the 3 in the result line and carry the 1.

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 | |

3 | 8 |

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

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 | |

3 | 3 | 8 |

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

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 | |

5 | 3 | 3 | 8 |

3 | .1 | 4 | |

⨯ | 1 | 7 | |

2 | 1 | 9 | 8 |

3 | 1 | 4 | |

5 | 3 | 3 | 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 2, so the answer must have 2 decimal places as well.

53.38

Evaluate 3.14*17