Weight units allow us to quantify weight.

Units of weight to know:

**One gram** is equivalent to **$1000$**** milligrams.**

**One kilogram** is equivalent to **$1000$**** grams.**

**One ton** is equivalent to **$1000$**** kilograms.**

Weight units allow us to quantify weight.

Units of weight to know:

**One gram** is equivalent to **$1000$**** milligrams.**

**One kilogram** is equivalent to **$1000$**** grams.**

**One ton** is equivalent to **$1000$**** kilograms.**

\( 7kg=?gr \)

**How many grams are in** **$2$**** kilograms?**

If there are $1000$ grams in one kilogram, we must multiply the number of kilograms by $1000$ to obtain the equivalent number of grams.

$2\cdot1000=2000$

That is, $2$ kilograms equals $2000$ grams.

**How many kilograms are** **$200$**** grams?**

We have seen that to convert kilograms to grams we multiply by $1000$.

To do the reverse operation and convert a number given in grams to kilograms we divide by $1000$.

$1$ kilogram = $1000$ grams

$200$ grams = kilograms

Therefore,

$200/1000=$

0.2 kilograms

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$7.8T=?kg$

T represents ton,

One ton contains one thousand kilograms,

Therefore, in 7.8 tons there are

1000*7.8 = 7800

$7800$

$x_m=?km$

In one kilometer there are 1000 meters,

therefore one meter is one-thousandth of a kilometer.

$\frac{x}{1000}$

$7kg=?gr$

$7000$

$8.6kg=?gr$

$8600$

$3.21kg=?gr$

$3,210$

Test your knowledge

Question 1

\( 8.6kg=?gr \)

Question 2

\( 3.21kg=?gr \)

Question 3

\( 7.8T=?kg \)

**What units of weight are there?**

Just as all units of measurement have multiples, weight units also have multiples or submultiples as equivalences between them, for example in the case of weight units the most common are:

Kilograms, hectograms, decagrams, grams, decigram, centigram, milligram.

There are also the units of pound, ounce, tons that are still equivalences between a unit of reference.

**How is the unit conversion done?**

In order to see how a unit conversion is done, an equivalence is needed and we will make an example to better understand how to do it.

**Example**

What is the equivalent of $16$ ounces in grams?

**Solution**

To be able to make the conversion we need to know the equivalence of ounce in grams

$1 onza= 28.35$ grams

So if one ounce is equal to $28.35$ grams, then to know how many grams are in 16 ounces we must do a multiplication.

$16 \times 28.35= 453.6$

So we can say that $16$ ounces is equal to $453.6$ grams.

**Result**

$453.6$ grams.

**How much does 1 pound equal to 1 kg?**

One pound is equal to $0.453592$ kilograms, that is, one pound is also equal to $453.592$ grams.

Do you know what the answer is?

Question 1

\( \frac{55}{5}\times200\operatorname{kg}=?T \)

Question 2

\( 387\frac{1}{4}kg=?T \)

Question 3

\( x^2kg=?gr \)