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Carry out the following conversions. Report your answers to the correct number of significant
figures.
(a) 75 cm to ft
ft
(b) 0.668 kg to lb
Ib
(e) 0.549 uL to qt
* 10-qt
(d) 9,991 mm to km
9.991 x 10 (select)
km
(e) 313 nm to mm
3.13 x 10 (select)
mm
(1) 7 ft to cm
* 102 cm

Sagot :

facundo3141592

We want to perform some changes of units, such that the number of significant figures (the ones different than zero) does not change.

a) 75 cm to ft

We know that:

1ft = 30.48cm

1 = (1ft)/(30.48cm)

Now, remember that if we multiply a quantity by one we do not affect the quantity, so we can write:

75cm = 75cm*(1ft)/(30.48cm) = 2.5 ft

b)  0.668 kg to lb

we know that:

1kg = 2.20462 lb

then:

1 = (2.20462 lb)/(1kg)

0.668 kg = 0.668 kg*(2.20462 lb)/(1kg) = 1.47 lb

c)  0.549 uL to qt

We know that:

1 uL = 3.437*10^-9 qt

1 = (3.437*10^-9 qt)/(1 uL)

Then:

0.549 uL = 0.549 uL*(3.437*10^-9 qt)/(1 uL) = 1.91*10^-9 qt

d) 9.991 mm to km

we know that:

1mm = 1*10^-6 km

then:

1 = (1*10^-6 km)/(1mm)

So we can rewrite:

9.991 mm = 9.991 mm*(1*10^-6 km)/(1mm) = 9.991*10^-6 km

e)  313 nm to mm

We have:

1nm = 1*10^-6 mm

1 = ( 1*10^-6 mm)/(1 nm)

Then:

313 nm*( 1*10^-6 mm)/(1 nm) = 3.13*10^-4 mm

If you want to learn more, you can read:

https://brainly.com/question/24606249

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