Answer: [tex]34)\ -\dfrac{1}{200}\qquad 36)\ 100\qquad 38)\ -\dfrac{\sqrt3}{3}\qquad 40)\ \dfrac{50}{117}[/tex]
Step-by-step explanation:
Opposite means to change the sign (positive becomes negative and negative becomes positive).
Reciprocal means to "flip" the fraction.
[tex]34)\ +200\longrightarrow -\dfrac{1}{200}\\\\\\36)\ -0.01=-\dfrac{1}{100}\longrightarrow +100\\\\\\38)\ +\sqrt3\longrightarrow -\dfrac{1}{\sqrt3}\qquad \qquad simplified: \ -\dfrac{1}{\sqrt3}\bigg(\dfrac{\sqrt3}{\sqrt3}\bigg)=-\dfrac{\sqrt3}{3}\\\\\\40)\ -2.34=-\dfrac{234}{100}=-\dfrac{117}{50}\longrightarrow +\dfrac{50}{117}[/tex]
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