Question

Each of the following conversions contains an error. In each case, explain what the error is and find the correct answer to make a true statement .
a 1000 kg mg (1kg/1000g) = 1g.
b. 50m (1cm/100m)=0.5 cm
c. "Nano" is 10^-9 , so there are 10^-9 nm in a meter.
d. micro is 10^-6, so 1kg is 10^6 ug​

Answer 1

Answer:

a. $1000\ kg(\frac{1000\ g}{1\ kg}) = 1\ x\ 10^{6}\ g$

b. $50\ m (\frac{100\ cm}{1\ m} ) = 5000\ cm$

c. "Nano" is 10⁻⁹ , so there are 10⁻⁹ meter in a nm (OR)  "Nano" is 10⁻⁹ , so there are 10⁹ nm in a meter.

d. micro is 10⁻⁶, so 1kg is 10⁹ ug​  

Explanation:

a.

The conversion factor is written inverted. The correct statement will be:

$1000\ kg(\frac{1000\ g}{1\ kg}) = 1\ x\ 10^{6}\ g$

b.

The values in the conversion factor used are wrong. The correct statement will be:

$50\ m (\frac{100\ cm}{1\ m} ) = 5000\ cm$

c.

Change of units is the mistake here. The correct statement will be:

"Nano" is 10⁻⁹ , so there are 10⁻⁹ meter in a nm (OR)  "Nano" is 10⁻⁹ , so there are 10⁹ nm in a meter.

d.

the conversion will be as follows:

$1\ kg(\frac{1000\ g}{1\ kg})(\frac{1\ \mu g}{10^{-6}\ g}) = 10^9 \mu g$

therefore, the correct statement will be:

micro is 10⁻⁶, so 1kg is 10⁹ ug​