Question

Questions :

1) If 1.125 × 10^n = 0.001125 ,so find the value of n.

2) 9.68×9.68-3.18×3.18/(9.68+3.18)

Note :-Spam answer get deleted need help of genius users​

Answer 1

Answer:

$\bf \huge \underline {\underline{SOLUTIONS}}$

Step-by-step explanation:

Question no. 1 :-

$10n \: = \frac{0.001125}{1.125}$

$= > \frac{1.125}{1125}$

$= > \frac{1.125 \times {10}^{3} }{1125 \times {10}^{3} }$

$= > \frac{1}{ {10}^{3} }$

$= > {10}^{ - 3}$

Hence, the value of n = -3

Question no. 2 :-

92.9160547434 is the correct answer.

Hope my answer helps you. If it helps you, make sure to thank my other answers..bye...

Answer 2

Question:-

$\begin{gathered}1) \: { If \: \: 1.125 \times {10}^{n} = 0.001125 \: so, \: \: find \: \: the \: \: value \: \: of \: n}. \\ \\ 2) \: Find \: \: the \: \: value \: \: of \: \: \frac{9.68 \times 9.68 - 3.18 \times 3.18}{9.68 + 3.18}.\end{gathered}$

.

Solution :-

$\begin{gathered}1) \: { If \: \: 1.125 \times {10}^{n} = 0.001125 \: so, \: \: find \: \: the \: \: value \: \: of \: n}. \\ \\ \Rightarrow 1.25 \times {10}^{n} = 0.001125 \\ \\ \Rightarrow \: \: {10}^{n} = \frac{0.001125}{1.125} \\ \\ \Rightarrow \: \: {10}^{n} = \frac{1125 \times 1000}{1125 \times 1000000} \\ \\ \Rightarrow \: \: {10}^{n} = \frac{1}{1000} \\ \\ \Rightarrow \: \: {10}^{n} = {10}^{ - 3} \\ \\ \Rightarrow \: \: \therefore \: \: n = - 3 \end{gathered}$

$= \: -3$

Now,

$\begin{gathered}2) Find \: \: the \: \: value \: \: of \: \: \frac{9.68 \times 9.68 - 3.18 \times 3.18}{9.68 + 3.18}. \\ \\ let \: \: be \: \: 9.68 = a \: \: and \: \: 3.18 = b \\ \\ \therefore \: \: given \: \: this \: \: \frac{a \times a - b \times b}{a + b} \\ \\ = \frac{ {a}^{2} - {b}^{2} }{a + b} \\ \\ = \frac{(a + b)(a - b)}{(a + b)} = (a - b) \end{gathered}$

Now put the value of a and b

(9.68-3.18)=6.50