how many significant digits are there in the number 180.200?

Question

 In the number 180.200, how many significant digits are there?

Answer 1

To determine the number of significant digits, follow these three rules:

 

1. All non-zero digits are considered significant. 

2. Zeros appearing anywhere between two non-zero digits are significant.

3. Trailing zeros in a number containing a decimal point are significant. 

 

In the number 180.200 all three rules apply:

 

By rule 1., the digits 1, 8, and 2 are significant.

By rule 2., the 0 between 8 and 2 is significant.

By rule 3., the two trailing zeros are significant.

 

Therefore, the number has 6 significant digits.

Answer 2

Ok Marissa:

 

When you are considering significant digits in a number you have to look at what digits if removed will change the number.

In your case 180.200 the only numbers that can be removed are the two zeros to the right of the decimal point. This does not affect the value of the number.

Hope this helps

 

Lisa tutor from Miami