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# Significant Digits

### Review with Significant Figures

Question | Answer |
---|---|

How many significant digits does 7003 have? Why? | 7003 has four significant figures because zeroes between two significant figures are always significant. |

Why would 0.0071 only have two significant digits? | Zeroes in front of all non-zero numbers are not significant, but they act as placeholders. |

How many significant digits does 9800 have? | Two significant digits |

How many Significant Digits does 5002 have? Why? | 4 SD's because zeroes are in between 2 non-zeroes. |

How many Significant Digits does 50.002 have? Why? | 5 SD's because zeroes are in between non-zeroes. |

How many Significant Digits does 500 have? Why? | 1 SD because zeroes can serve as placeholders. |

How many significant figures would 500.0 have? Why? | 4 SD's because zeroes are to the right of a significant figure and a decimal place. |

Round 0.001775 to two Significant Figures. | 0.0018 To get this, first determine the number of SD's. Drop all digits after last significant place below 5. However if that digit is above 5, round up the value of the last significant figure. |

Round 8792 to two Significant Figures. | 8800 To get this, first determine the number of SD's. Drop all digits after last significant place below 5. However if that digits is above 5, round up the value of the last significant figure. |

Why would 3.76+14.83+2.1 = 20.7? | The answer can only have as many decimal places. Since 2.1 has the least amount of decimal places, the final answer must be rounded to 1/10 of a decimal place. 3.76+14.83+2.1 = 20.67 (only need 1 decimal place...rules of rounding makes 20.67 = 20.7) |

What is 22.37 x 3.10 x 85.75? Why? | 5950 The final answer may only show as many SD's as the measurement showing the least amount of SD. 22.37 x 3.10 x 85.75 = 5946.50525 (since 3.10 has the least amount of SD's...three...the final answer must be rounded to 3 SD's) |

Does 0.0005 have one, four or five SD's? | Therefore, only the 5 is significant so there is only 1 SD. |

What is precision? | Precision is the consistency of a result or how reproducible it is. Precision depends on the unit used to measure - the smaller the unit, the more precise the measurement is. |

Write the number of SD's for: 24.7 kg | 3 |

Write the number of SD's for: 247.7 ml | 4 |

Write the number of SD's for: 247.701 mg | 6 |

Write the number of SD's for: 0.24701 L | 5 |

Write the number of SD's for: 2.5 g | 2 |

Write the number of SD's for: 0.0003 ml | 1 |

Write the number of SD's for: 923.2 g | 4 |

How many SD's would 2400 g have if you had measured the quantity? | 4 SD's. This is because you measured the quantity. |

If you have no idea how a value of 1300 km was measured, how many SD's would it have? | 2 SD's. This is because zeroes after a non-zero number are insignificant, they only act as placeholders. |

Perform the calculation and express the answer in the correct number of sig.figs. 55.671 g + 45.78 g | 101.45 g |

Perform the calculation and express the answer in the correct number of sig.figs. 1.9 mm + 0.62 mm | 2.5 mm |

Perform the calculation and express the answer in the correct number of sig.figs. 87.9478 L - 86.25 L | 1.70 L |

Perform the calculation and express the answer in the correct number of sig.figs. 0.350 ml + 1.70 ml + 1.019 ml | 3.07 ml |

Perform the calculation and express the answer in the correct number of sig.figs. 5.841 g x 6.03 g | 35.2 g>2 (grams squared) |

Perform the calculation and express the answer in the correct number of sig.figs. 1.2 m x 3.33 m | 4.0 m>2 meters squared) |

Perform the calculation and express the answer in the correct number of sig.figs. 1.12 g/92 ml | 0.12 g/ml |

Which number is more precise? 0.33 m or 0.3 m | 0.33 m |

Which is more precise? 7.92 L or 792 L | 7.92 L |

Which is more precise? 6329.1 cm or 63.21 cm | 63.21 cm |

Which is least precise? 8.094 mm or 80.94 mm | 80.94 mm |

Which is least precise? 7742.34 g or 7.74234 g | 7742.34 g |

Which is least precise? 7000.0 kg or 7000 kg | 7000 kg |

Created by:
lcollette