Questions: How many significant figures are in the following number? 823.012

Solution Steps

Significant figures are the digits in a number that carry meaningful information about its precision. This includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal part.

The number given is 823.012. Let's break it down:

• The digits 8, 2, and 3 are non-zero and therefore significant.
• The digit 0 between 3 and 1 is significant because it is between two significant digits.
• The digits 1 and 2 are non-zero and therefore significant.

Count all the significant digits identified in the previous step:

• 8
• 2
• 3
• 0
• 1
• 2

This gives us a total of 6 significant figures.

Final Answer