Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10β4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10β3
Accepted Solution
A:
Since multiplication is commutative, we can rearrange the problem:Β [tex](1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)[/tex] Using the properties of exponents, we have: [tex](1.12*6.06)(10^10)
\\=6.7872*10^10[/tex]
Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents: [tex](2*10^1)(3*10^1)
\\=(2*3)(10^1*10^1)
\\=6*10^2[/tex]