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{{ printedBook.courseTrack.name }} {{ printedBook.name }} In written numbers, there are a few rules that determine which digits are considered significant figures, also known as significant digits.

- Any non-zero number is significant.
- Any zero located between non-zero numbers is significant.
- Trailing zeros at the end of a number are only significant when there is a decimal point.
- Zeros to the left of the first nonzero digit are
**not**significant.

Below are some examples.

Number | Significant Figures | Comment |
---|---|---|

$123$ | $1,$ $2,$ and $3$ | All digits are non-zero. |

$1.0002$ | $1,$ $0,$ $0,$ $0,$ and $2$ | The zeros are between non-zero numbers. |

$2.00$ | $2,$ $0,$ and $0$ | There is a decimal point. |

$0.012$ | $1$ and $2$ | The zeros are to the left of the first non-zero digit. |

Significant figures indicate a value's accuracy, with more significant figures indicating a higher degree of accuracy.

For an integer that ends with one or more zeros, the trailing zero(s) may or may not be significant figures. In the case of the integer $6700,$ there are multiple possible numbers of significant figures. $CommentGivenWith a bar aboveWith a decimalScientific Notation Number6700670ˉ06700.6.7×10_{3} Significant FiguresUnclear6,7,and06,7,0,and06and7 $ To avoid uncertainty in such situations, either a decimal point placed at the end of the number or scientific notation should be used.