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Sagot :
Let's go through each of the conversions step by step:
### a. [tex]\(14.8 \text{ g} = \; ? \; \mu \text{g}\)[/tex]
To convert grams (g) to micrograms ([tex]\(\mu\text{g}\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ g} = 1 \times 10^6 \; \mu\text{g}\][/tex]
So, for 14.8 grams:
[tex]\[ 14.8 \text{ g} \times 1 \times 10^6 \; \mu\text{g}/\text{g} = 14.8 \times 10^6 \; \mu\text{g} \][/tex]
### b. [tex]\(3.72 \text{ g} =\; ? \; \text{kg}\)[/tex]
To convert grams (g) to kilograms (kg), we use the conversion factor:
[tex]\[1 \text{ g} = 1 \times 10^{-3} \; \text{kg}\][/tex]
So, for 3.72 grams:
[tex]\[ 3.72 \text{ g} \times 1 \times 10^{-3 \; \text{kg}/\text{g}} = 3.72 \times 10^{-3} \; \text{kg} \][/tex]
### c. [tex]\(66.3 \text{ L} =\; ? \; \text{cm}^3\)[/tex]
To convert liters (L) to cubic centimeters ([tex]\(\text{cm}^3\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ L} = 1 \times 10^3 \; \text{cm}^3\][/tex]
So, for 66.3 liters:
[tex]\[ 66.3 \text{ L} \times 1 \times 10^3 \; \text{cm}^3/\text{L} = 66.3 \times 10^3 \; \text{cm}^3 \][/tex]
### d. [tex]\(7.5 \times 10^4 \text{ J} =\; ? \; \text{kJ}\)[/tex]
To convert joules (J) to kilojoules (kJ), we use the conversion factor:
[tex]\[1 \text{ J} = 1 \times 10^{-3} \; \text{kJ}\][/tex]
So, for [tex]\(7.5 \times 10^4\)[/tex] joules:
[tex]\[ 7.5 \times 10^4 \text{ J} \times 1 \times 10^{-3} \; \text{kJ}/\text{J} = 7.5 \times 10^1 \; \text{kJ} \][/tex]
### e. [tex]\(3.9 \times 10^5 \text{ mg} = \; ? \; \text{dg}\)[/tex]
To convert milligrams (mg) to decigrams (dg), we use the conversion factor:
[tex]\[1 \text{ mg} = 1 \times 10^{-1} \; \text{dg}\][/tex]
So, for [tex]\(3.9 \times 10^5\)[/tex] milligrams:
[tex]\[ 3.9 \times 10^5 \text{ mg} \times 1 \times 10^{-1} \; \text{dg}/\text{mg} = 3.9 \times 10^4 \; \text{dg} \][/tex]
### f. [tex]\(2.1 \times 10^{-4} \text{ dL} =\; ? \; \mu\text{L}\)[/tex]
To convert deciliters (dL) to microliters ([tex]\(\mu\text{L}\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ dL} = 1 \times 10^4 \; \mu\text{L}\][/tex]
So, for [tex]\(2.1 \times 10^{-4}\)[/tex] deciliters:
[tex]\[ 2.1 \times 10^{-4} \text{ dL} \times 1 \times 10^4 \; \mu\text{L}/\text{dL} = 2.1 \times 10^0 \; \mu\text{L} = 2.1 \; \mu\text{L} \][/tex]
Here are the final converted values, expressed in scientific notation:
a. [tex]\(14.8 \text{ g} = 1.48 \times 10^7 \; \mu\text{g}\)[/tex]
b. [tex]\(3.72 \text{ g} = 3.72 \times 10^{-3} \; \text{kg}\)[/tex]
c. [tex]\(66.3 \text{ L} = 6.63 \times 10^4 \; \text{cm}^3\)[/tex]
d. [tex]\(7.5 \times 10^4 \text{ J} = 7.5 \times 10^1 \; \text{kJ}\)[/tex]
e. [tex]\(3.9 \times 10^5 \text{ mg} = 3.9 \times 10^4 \; \text{dg}\)[/tex]
f. [tex]\(2.1 \times 10^{-4} \text{ dL} = 2.1 \times 10^0 \; \mu\text{L}\)[/tex]
### a. [tex]\(14.8 \text{ g} = \; ? \; \mu \text{g}\)[/tex]
To convert grams (g) to micrograms ([tex]\(\mu\text{g}\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ g} = 1 \times 10^6 \; \mu\text{g}\][/tex]
So, for 14.8 grams:
[tex]\[ 14.8 \text{ g} \times 1 \times 10^6 \; \mu\text{g}/\text{g} = 14.8 \times 10^6 \; \mu\text{g} \][/tex]
### b. [tex]\(3.72 \text{ g} =\; ? \; \text{kg}\)[/tex]
To convert grams (g) to kilograms (kg), we use the conversion factor:
[tex]\[1 \text{ g} = 1 \times 10^{-3} \; \text{kg}\][/tex]
So, for 3.72 grams:
[tex]\[ 3.72 \text{ g} \times 1 \times 10^{-3 \; \text{kg}/\text{g}} = 3.72 \times 10^{-3} \; \text{kg} \][/tex]
### c. [tex]\(66.3 \text{ L} =\; ? \; \text{cm}^3\)[/tex]
To convert liters (L) to cubic centimeters ([tex]\(\text{cm}^3\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ L} = 1 \times 10^3 \; \text{cm}^3\][/tex]
So, for 66.3 liters:
[tex]\[ 66.3 \text{ L} \times 1 \times 10^3 \; \text{cm}^3/\text{L} = 66.3 \times 10^3 \; \text{cm}^3 \][/tex]
### d. [tex]\(7.5 \times 10^4 \text{ J} =\; ? \; \text{kJ}\)[/tex]
To convert joules (J) to kilojoules (kJ), we use the conversion factor:
[tex]\[1 \text{ J} = 1 \times 10^{-3} \; \text{kJ}\][/tex]
So, for [tex]\(7.5 \times 10^4\)[/tex] joules:
[tex]\[ 7.5 \times 10^4 \text{ J} \times 1 \times 10^{-3} \; \text{kJ}/\text{J} = 7.5 \times 10^1 \; \text{kJ} \][/tex]
### e. [tex]\(3.9 \times 10^5 \text{ mg} = \; ? \; \text{dg}\)[/tex]
To convert milligrams (mg) to decigrams (dg), we use the conversion factor:
[tex]\[1 \text{ mg} = 1 \times 10^{-1} \; \text{dg}\][/tex]
So, for [tex]\(3.9 \times 10^5\)[/tex] milligrams:
[tex]\[ 3.9 \times 10^5 \text{ mg} \times 1 \times 10^{-1} \; \text{dg}/\text{mg} = 3.9 \times 10^4 \; \text{dg} \][/tex]
### f. [tex]\(2.1 \times 10^{-4} \text{ dL} =\; ? \; \mu\text{L}\)[/tex]
To convert deciliters (dL) to microliters ([tex]\(\mu\text{L}\)[/tex]), we use the conversion factor:
[tex]\[1 \text{ dL} = 1 \times 10^4 \; \mu\text{L}\][/tex]
So, for [tex]\(2.1 \times 10^{-4}\)[/tex] deciliters:
[tex]\[ 2.1 \times 10^{-4} \text{ dL} \times 1 \times 10^4 \; \mu\text{L}/\text{dL} = 2.1 \times 10^0 \; \mu\text{L} = 2.1 \; \mu\text{L} \][/tex]
Here are the final converted values, expressed in scientific notation:
a. [tex]\(14.8 \text{ g} = 1.48 \times 10^7 \; \mu\text{g}\)[/tex]
b. [tex]\(3.72 \text{ g} = 3.72 \times 10^{-3} \; \text{kg}\)[/tex]
c. [tex]\(66.3 \text{ L} = 6.63 \times 10^4 \; \text{cm}^3\)[/tex]
d. [tex]\(7.5 \times 10^4 \text{ J} = 7.5 \times 10^1 \; \text{kJ}\)[/tex]
e. [tex]\(3.9 \times 10^5 \text{ mg} = 3.9 \times 10^4 \; \text{dg}\)[/tex]
f. [tex]\(2.1 \times 10^{-4} \text{ dL} = 2.1 \times 10^0 \; \mu\text{L}\)[/tex]
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