MATH SOLVE

2 months ago

Q:
# Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.

Accepted Solution

A:

Answer:6.75gStep-by-step explanation:The first step is converting everything to grams, by rules of three. Then we add.In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.Unit conversion problems, like this one, is an example of a direct relationship between measures.First step: 0.0025kg to gEach kg has 1000g, so:1kg - 1000g0.0025kg - xgx = 1000*0.0025 = 2.5g 0.0025kg = 2.5gSecond step: 1750 mgEach g has 1000mg, so:1g - 1000mgxg - 1750mg1000x = 1750[tex]x = \frac{1750}{1000}[/tex]x = 1.75g1750 mg = 1.75g2.25g - OKThird step: 825,000 μg to gEach g has 1,000,000 ug, so:1g - 1,000,000 ugxg - 825,000 ug1,000,000x = 825,000[tex]x = \frac{825,000}{1,000,000}[/tex]x = 0.25g825,000 μg = 0.25gFinal step: adding everyting0.25g + 2.25g + 1.75g + 2.50g = 6.75g