Question

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 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3

Answer 1

The answer is A and D,I did this on usatestprep

Explanation:

Answer 2

Since multiplication is commutative, we can rearrange the problem:

`(1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)`
Using the properties of exponents, we have:

`(1.12*6.06)(10^10) \\=6.7872*10^10`

Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:

`(2*10^1)(3*10^1) \\=(2*3)(10^1*10^1) \\=6*10^2`


`(2.775*10^-^4)(4.775*10^4) \\=(2.775*4.775)(10^-^4*10^4) \\=(2.775*4.775)(10^0) \\=(2.775*4.775)(1) \\=2.775*4.775=13.250625=1.3250625*10^1`


`5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3`