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You are given a box containing a digital meter that measures current. It reads 100.0 when a current of 0.1 mA is passed through it. It has a resistance of 10 $\Omega$. The box also contains assorted resistors in powers of 10 $\Omega$, e.g. ...R$_{-6}$ = $10^{-6} \Omega$, R$_{-5}$ = $10^{-5} \Omega$, ..., R$_6$ = $10^{6} \Omega$, ...with at least ten resistors available at each size. The resistors are only good to 10%, though, so there is no point in trying make combinations with more than one significant digit out of different powers. Use this material to design:

a) An ammeter that makes the digital scale read Amps (that is, read (approximately) 100.0 when a current of 100.0 A is flowing into it). Draw it, label all parts, and show your reasoning.

b) A voltmeter that makes the digital scale read Volts (that is, read 100.0 with it is placed across 100 volts). Draw it, label all parts, and show your reasoning.