Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
1 answer:
Answer:
6.75g
Step-by-step explanation:
The initial step is to convert all values to grams using rules of three, followed by summation.
In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.
In direct relationships, as one measure increases, so does the other.
In inverse relationships, as one measure increases, the other decreases.
Problems involving unit conversion, like this, illustrate a direct relationship between measures.
First step: convert 0.0025kg to grams
One kilogram equals 1000 grams, so:
1kg - 1000g
0.0025kg - xg
x = 1000*0.0025 = 2.5g
Thus, 0.0025kg is equal to 2.5g
Second step: handle 1750 mg
One gram consists of 1000mg, so:
1g - 1000mg
xg - 1750mg
1000x = 1750
x = 1.75g
Therefore, 1750 mg converts to 1.75g
2.25g is fine
Third step: convert 825,000 μg to grams
One gram consists of 1,000,000 micrograms, so:
1g - 1,000,000 μg
xg - 825,000 μg
1,000,000x = 825,000
x = 0.25g
So, 825,000 μg equals 0.25g
Final step: sum all values
0.25g + 2.25g + 1.75g + 2.50g = 6.75g
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