Evaluate the quotient of 1.05 x 103 and 1 x 103:


A.) 1.05 x 109

B.) 1.05 x 106

C.) 1.05 x 100

D.) 1.05 x 10-6

Verified Answer :

bcalle

The answer would be Letter C

(1.05 x 10^3)
-----------------
(1 x 10^3)

Divide the 1.05 by 1 and get 1.05
Divide 10^3/10^3 and get 10^(3-3) = 10^0
So: 1.05 x 10^0

Answer:

C) \(1.05\times 10^0\)

Step-by-step explanation:

Here, the given expression is,

\(\frac{1.05\times 10^3}{1\times 10^3}\)

\(=\frac{1.05\times 10^3\times 10^{-3}}{1}\)   \((a^m=\frac{1}{a^{-m}})\)

\(=1.05\times 10^{3-3}\)      \((a^m.a^n=a^{m+n})\)

\(=1.05\times 10^0\)

Which is the required quotient.

Option 'C' is correct.