Reduce 1.256 g to micrograms, to milligrams, and to kilograms.

1.256g = 1,256,000 micrograms

1.256g = 1256mg

1.256g = 0,001256kg

Step-by-step explanation:

This is a conversion of units problem, that can be solved by rules of three.

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: 1.256g to micrograms

Each g has 1,000,000 ug. So:

1g - 1,000,000 ug

1.256g - xug

x = 1,000,000*1.256

x = 1,256,000 micrograms

Second step: 1.256g to mg

Each g has 1,000 mg. So:

1g - 1,000mg

1.256g - xmg

x = 1,000*1.256

x = 1256mg

Final step: 1.256g to kg

Each kg has 1,000g. So:

1kg - 1,000g

xkg - 1.256g

1,000x = 1.256

x = 0,001256kg

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus