Question

Add 0.5 kg, 50 mg, and 2.5 dg. Reduce the result to grams.

Answer 1

Answer:

0.25g + 0.05g + 500g = 500.30g

Step-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: 0.5kg to g

Each kg has 1000g. So

1kg - 1000g

0.5kg - xg

x = 1000*0.5

x = 500g

0.5kg = 500g

Second step: 50mg to g

Each g has 1000mg. So:

1g - 1000mg

xg - 50mg

1000x = 50

$x = \frac{50}{1000}$

x = 0.05g

50mg = 0.05g

Third step: 2.5dg to g

Each g has 10dg. So:

1g - 10dg

xg - 2.5dg

2.5x = 10

$x = \frac{2.5}{10}$

x = 0.25g

2.5 dg = 0.25g

Final step: Add

0.25g + 0.05g + 500g = 500.30g