Answer :
In this question, we are asked to transform different units of measurement. Let's go through each part step-by-step:
a) Transforming volumes from hectoliters (hl), dekaliters (dal), liters (l), and deciliters (dl):
2 hl: 1 hectoliter (hl) is equal to 100 liters (l). Therefore, 2 hl = [tex]2 \times 100 = 200[/tex] liters.
3 dal: 1 dekaliter (dal) is equal to 10 liters (l). Therefore, 3 dal = [tex]3 \times 10 = 30[/tex] liters.
5 l: This is already in liters, so it stays 5 liters.
1 dl: 1 deciliter (dl) is equal to 0.1 liters (l). Therefore, 1 dl = [tex]1 \times 0.1 = 0.1[/tex] liters.
Add them up to convert them all to liters: [tex]200 + 30 + 5 + 0.1 = 235.1[/tex] liters.
b) Transforming masses from kilograms (kg), hectograms (hg), dekagrams (dag), decigrams (dg), and milligrams (mg):
5 kg: This is already in kilograms, so it stays 5 kg.
4 hg: 1 hectogram (hg) is equal to 0.1 kilograms (kg). Therefore, 4 hg = [tex]4 \times 0.1 = 0.4[/tex] kilograms.
1 dag: 1 dekagram (dag) is equal to 0.01 kilograms (kg). Therefore, 1 dag = [tex]1 \times 0.01 = 0.01[/tex] kilograms.
8 dg: 1 decigram (dg) is equal to 0.0001 kilograms (kg). Therefore, 8 dg = [tex]8 \times 0.0001 = 0.0008[/tex] kilograms.
7 mg: 1 milligram (mg) is equal to 0.000001 kilograms (kg). Therefore, 7 mg = [tex]7 \times 0.000001 = 0.000007[/tex] kilograms.
Add them up to convert them all to kilograms: [tex]5 + 0.4 + 0.01 + 0.0008 + 0.000007 = 5.410807[/tex] kilograms.
c) Transforming areas from square kilometers (km²), hectometers squared (hm²), and meters squared (m²):
Assume the student meant to transform areas:
6 km²: This is already 6 kilometers squared, so it stays the same.
47 hm²: 1 hectometer squared (hm²) is equal to 10,000 meters squared (m²). Therefore, 47 hm² = [tex]47 \times 10,000 = 470,000[/tex] m².
26 m²: This is already in meters squared, so it stays 26 m².
Combine these differently scaled areas as needed in context or if any additional conversion is required.
d) Transforming volumes from cubic meters (m³), decimeters cubed (dm³), and centimeters cubed (cm³):
5 m³: This is already in cubic meters, so it stays 5 m³.
10 dm³: 1 decimeter cubed (dm³) is equivalent to 0.001 cubic meters (m³). Therefore, 10 dm³ = [tex]10 \times 0.001 = 0.01[/tex] m³.
3 cm³: 1 centimeter cubed (cm³) is equivalent to 0.000001 cubic meters (m³). Therefore, 3 cm³ = [tex]3 \times 0.000001 = 0.000003[/tex] m³.
Add them to convert them all into cubic meters: [tex]5 + 0.01 + 0.000003 = 5.010003[/tex] m³.
By clearly understanding how to convert each measurement, the problem becomes much easier to tackle. I hope this helps!
