State how many significant figures are proper in the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) (b) (18.7)2 (c) (1.60×10−19)(3712).

Answer:(a) The result is 3 significant figures(b) The result is 3 significant figures(c) The result is 3 significant figuresStep-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 number1. All non-zero digits are significant.- Ex: 1234.56 is six significant figures2. 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 ONLY 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