Question

The values of a,b, and c in scientific notation are 3.47 x 10^-6, 4.61 x 10^-7, and 5.52 x 10^-7, respectively. Complete the following sentences. Round so the first factor goes to the hundredths place.

1) a • b in scientific notation is = ?

2) (a/b) in scientific notation is = ?

3) (c/a) in scientific notation is = ?

⬇️ANSWER CHOICES ⬇️

A. 1.60
B. 16.0 x 10^1
C. 16.0 x 10^2
D. 1.59 x 10^13
E. 0.75 x 10^-13
F. 7.53 x 10^-13
G. 7.53 x 10^-14
H. 1.59 x 10^1

Answer 1

Answer: The other guy was correct! ;)

Explanation:

Plato said so!

Answer 2

a) 1.59967 * 10 ^-12

b) 7.52711497

c) 1.590778098 * 10^-1

Explanation:

a= 3.47 x 10^-6,

b=4.61 x 10^-7,

c=5.52 x 10^-7

a) a*b = 3.47 x 10^-6* 4.61 x 10^-7

We multiply the numbers out front and add the exponents

(3.47*4.61) * 10^(-6+-7)

15.9967 * 10^-13

But this is not correct scientific notation, we need 1 number in front of the decimal. Move the decimal 1 place to the left and add 1 to the exponent

1.59967 * 10^(-13+1)

1.59967 * 10 ^-12

b) a/b = 3.47 x 10^-6/ 4.61 x 10^-7

We divide the numbers out front and subtract the exponents

(3.47/4.61) * 10^(-6- -7)

(3.47/4.61) * 10^(-6+7)

.752711497* 10^1

But this is not correct scientific notation, we need 1 number in front of the decimal. Move the decimal 1 place to the right and subtract 1 from the exponent

7.52711497* 10^1-1

7.52711497

c) c/a = 5.52 x 10^-7/3.47 x 10^-6

We divide the numbers out front and subtract the exponents

(5.52/3.47) * 10^(-7- -6)

(5.52/3.47) * 10^(-7+6)

1.590778098 * 10^-1