# How many significant digits are contained in the number 1804.00?

##### 1 Answer

#### Explanation:

The first thing to notice here is that your number contains three **non-zero digits**, **all** non-zero digits are * significant*.

#color(blue)(18)0color(blue)(4).00 -># #3color(white)(a)color(blue)("non-zero digits")#

Next, notice that your number contains a **sandwiched zero**, which is a zero digit that *follows and is followed by* a

**non-zero digit**. Sandwiched zeros are

*.*

**significant**In your case, you have a zero that is sandwiched between

#color(blue)(18)color(red)(0)color(blue)(4).00 -> {(3color(white)(a)color(blue)("non-zero digits")), (1color(white)(a)color(red)("sandwiched zero")) :}#

Finally, notice that your number also contains two **trailing zeros**. A *trailing zero* is zero that follows a decimal point or a non-zero digit and is *not* followed by a non-zero digit.

Trailing zeros that follow the decimal point are always * significant*.

In your case, you have

#color(blue)(18)color(red)(0)color(blue)(4).color(darkgreen)(00) -> {(3color(white)(a)color(blue)("non-zero digits")), (1color(white)(a)color(red)("sandwiched zero")), (2color(white)(a)color(darkgreen)("trailing zeros")) :}#

Therefore, your number has a total of

#1804.00 -> 6# significant figures.