__Significant Digits__The last digit in a measurement is always the uncertain digit(it could be one digit higher or lower, we don't know). The significant figure in the measurement includes all of the certain digits and the uncertain digits.

__Significant Figure Rules__1. Leading zeros are not counted

Example: 0.01 = 1 SF

2. Trailing zeros after the decimal point are counted

Example 10.050 = 5 SF

3. Trailing zeros in front of the decimal point are not counted

Example 1200000000000 = 2 SF

4. Zeros between significant figures are counted

Example 123000.000123 = 12 SF

__Rounding Rules__To start off, rounding just almost like we do it in math

1.Look at the digit to the right the the digit you are rounding (The uncertain digit)

2. If that digit > 5 then you round up

3. If that digit < 5 then you keep it the same

4. If that digit = 5 and it has more non-zero digits following behind it, round up

5. If that digit = 5 and ends at that 5, round to make digit your rounding even (2,4,6,8)

__Math "+" & "-" Rules__When you add or subtract, round to the number with the fewest DECIMAL places

For Example

222.123123

__+ 1.1__

223.223123

Which becomes 223.2 because the 1.1 had the lowest decimal point

__Math "X" & "÷" Rules__When you multiply or divide, round to the number with the fewest number of significant figures

For Example

(123)(1) = 123

Which becomes 100 because the number with the lowest significant figures (that 1) only had 1 SF.

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