Answer:
(a) The result is 3 significant figures
(b) The result is 3 significant figures
(c) The result is 3 significant figures
Step-by-step explanation:
* Lets explain how to solve the problem
- Significant figures are the number of digits in a value
- There are 3 rules to find how many significant figures are in a number
1. All non-zero digits are significant.
- Ex: 1234.56 is six significant figures
2. Any zeros between two significant digits are significant
- Ex: 2.03 is three significant figures
- A final zero or zeros between two significant digits in the decimal
numbers <em>ONLY</em> are significant
- Ex: 0.056 is two significant figures , 12.04 is four significant figures ,
5.60 is three significant figures
* Lets solve the problem
(a) (106.7)(98.2)/(46.210)(1.01)
∵ 106.7 is 4 significant figures
∵ 98.2 is 3 significant figures
∵ 46.210 is 5 significant figures
∵ 1.01 is 3 significant figures
∵ The smallest number of the significant figures is 3
∴ The result is limited by 3 significant figures
∴ The result is 3 significant figures
(b) (18.7)²
∵ 18.7 is 3 significant figures
∴ The result is limited by 3 significant figures
∴ The result is 3 significant figures#
(c) (1.60 × 10^-19)(3712)
- Remember: When a number is written in scientific notation, only
significant figures are the numerical part only
∵ 1.60 × 10^-19 is 3 significant figures
∵ 3712 is 4 significant figures
∵ The smallest number of the significant figures is 3
∴ The result is limited by 3 significant figures
∴ The result is 3 significant figures
