Answer:
a. 0.0105
b. 1.570
c. 0.00000354
d. 35,000,000
e. 1200
f. 0.000358
g. 548.6
The complete conversion of the given examples are as follows:
a. 10.5g = 0.00105 kg
b. 1.57 km = 1570 m
c. 3.54 ug = 3.54 × 10⁻⁵ g
d. 3.5 mol = 3.5 × 10⁶ umol
e. 1.2 L = 1200 mL
f. 358 cm = 3.58 × 10⁻⁴ m³
g. 548.6 ml = 548.6 cm
Conversion is a multi-stage procedure, which requires a numerical factor to multiply or divide and the appropriate selection of a number of important digits.
Using the International System Units for Conversions Factors.
(a)
If 1 g = 0.001 kg
∴
10.5 g will be:
[tex]\mathsf{= \dfrac{10.5 \ g \times 0.0001 \ kg}{1 \ g}}[/tex]
= 0.00105 kg
(b)
If 1 km = 1000 m
1.57 km will be:
[tex]\mathsf{= \dfrac{1.57 \ km \times 1000\ m}{1 \ km} }[/tex]
= 1570 m
(c)
If 1 ug = 1 × 10⁻⁵ g
∴
3.54 ug will be:
[tex]\mathsf{= \dfrac{3.54 \mu g \times 1 \times 10^{-5} \ g }{1 \ \mu g}}[/tex]
= 3.54 × 10⁻⁵ g
(d)
If 1 mol = 10⁶ umol
∴
3.5 mol will be:
[tex]\mathsf{= \dfrac{3.5 \ mol \times 10^6 \ u \ mol}{1 \ mol} }[/tex]
= 3.5 × 10⁶ umol
(e)
If 1 L = 1000 mL
∴
1.2 L will be:
[tex]\mathsf{=\dfrac{1.2 \ L \times 1000 \ mL}{1 \ L}}}[/tex]
= 1200 mL
(f)
If 1 cm = 0.000001 m³
∴
358 cm will be:
[tex]\mathsf{= \dfrac{358\ cm \times 0.000001 m^3}{1 \ cm}}[/tex]
= 3.58 × 10⁻⁴ m³
(g)
If 1 mL = 1 cm
∴
548.6 mL will also be equivalent to 548.6 cm
Therefore, from the above explanation, we've seen how to convert from one unit to another.
Learn more about conversion rates here:
https://brainly.com/question/5685229?referrer=searchResults
