# Question #15f43

##### 1 Answer

#### Explanation:

The first thing to look for when trying to figure out how many significant figures you have in a measurement are **non-zero digits**.

Non-zero digits are **always** significant, regardless if they are added before or after the decimal place. In your case, you have three non-zero digits

#color(black)(color(red)(7)0. color(red)(8)0color(red)(4) -># three non-zero digits

so you know for a fact that the measurement has *at least* three sig figs.

The first zero

#7color(blue)(0).804#

is **significant** because it follows a non-zero digit, i.e. **always** significant.

Notice that the second zero

#70.8color(blue)(0)4#

is also sandwiched between two non-zero digits. This zero follows **significant**.

Therefore, you can say that the measurement given to has **significant figures**

#color(black)(color(red)(7)color(blue)(0). color(red)(8)color(blue)(0)color(red)(4) -> {("three non-zero digits"), ("two sandwiched zeros") :}#