MATH SOLVE

4 months ago

Q:
# 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]

[tex](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[/tex]

[tex]5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3[/tex]

[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]

[tex](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[/tex]

[tex]5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3[/tex]