# I am extremely bad at math and I need help understanding how to do unit conversions. I have these sample problems that were given to me to practice, but I don't know how to approach them. I need very detailed, step-by-step instructions on how to approach unit conversion problems. I also need the explanations and solutions for all of these sample problems.1.) Given that 1 inch (in) is equal to 2.54 cm, how many inches are in 12.1 cm?2.) A new penny has a mass of 2.49 g. What is this mass in pounds (lb)? Note: 1 kg = 2.205 lb.3.) In the famous Pokémon Go app, a person needs to physically walk 10.00 km in order to hatch an egg. Convert this distance to the following units:(a) miles (1 mi = 1.609 km)(b) centimeters(c) feet (1 m = 3.28 ft)4.) Perform the following unit conversions:(a) 138 mi2 to km2 (1 mi = 1.609 km)(b) 6050 cm3 to m3(c) 2.75 L to in3 (1 in = 2.54 cm)5.) A 417 cm3 sample of ethylene glycol (antifreeze) has a mass of 463 g. What is the density of ethylene glycol in g/cm3?6.) Acetone (nail polish remover) has a density of 0.7857 g/cm3. What is the mass (in g) of 177.4 mL of acetone?7.) The boiling point of ethanol is 351.52 K. What is the boiling point in °C and °F?8.) A sick child has a temperature of 104.00 °F. What is the child’s temperature in °C and K?9.) A television uses 90.0 MJ of energy per year. How many kcal does it use?10.) Suppose that a person eats a diet of 2,387 Cal per day. What is this energy in J?

States of Matter

The substance that constitutes everything in the universe is known as matter. Matter comprises atoms which in turn are composed of electrons, protons, and neutrons. Different atoms combine together to give rise to molecules that act as a foundation for all kinds of substances. There are five states of matter based on their energies of attraction, namely solid, liquid, gases, plasma, and BEC (Bose-Einstein condensates).

Chemical Reactions and Equations

When a chemical species is transformed into another chemical species it is said to have undergone a chemical reaction. It consists of breaking existing bonds and forming new bonds by changing the position of electrons. These reactions are best explained using a chemical equation.

I am extremely bad at math and I need help understanding how to do unit conversions. I have these sample problems that were given to me to practice, but I don't know how to approach them. I need very detailed, step-by-step instructions on how to approach unit conversion problems. I also need the explanations and solutions for all of these sample problems.

1.) Given that 1 inch (in) is equal to 2.54 cm, how many inches are in 12.1 cm?

2.) A new penny has a mass of 2.49 g. What is this mass in pounds (lb)? Note: 1 kg = 2.205 lb.

3.) In the famous Pokémon Go app, a person needs to physically walk 10.00 km in order to hatch an egg. Convert this distance to the following units:

(a) miles (1 mi = 1.609 km)

(b) centimeters

(c) feet (1 m = 3.28 ft)

4.) Perform the following unit conversions:

(a) 138 mi2 to km2 (1 mi = 1.609 km)

(b) 6050 cm3 to m3

(c) 2.75 L to in3 (1 in = 2.54 cm)

5.) A 417 cm3 sample of ethylene glycol (antifreeze) has a mass of 463 g. What is the density of ethylene glycol in g/cm3?

6.) Acetone (nail polish remover) has a density of 0.7857 g/cm3. What is the mass (in g) of 177.4 mL of acetone?

7.) The boiling point of ethanol is 351.52 K. What is the boiling point in °C and °F?

8.) A sick child has a temperature of 104.00 °F. What is the child’s temperature in °C and K?

9.) A television uses 90.0 MJ of energy per year. How many kcal does it use?

10.) Suppose that a person eats a diet of 2,387 Cal per day. What is this energy in J?

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