Question

Convert $400\text{ kg}$ into $\text{mg}$ .

Answer 1

Hint: In this problem we need to convert the given weight which is in kilograms into milligrams. We know that the order of measurement of the weight goes from Kilograms and next grams after that milligram. So we need to first convert the given kilograms into grams. After that we can convert the grams into milligrams. So we will consider the given kilograms and use the relationship between kilograms and grams which is given by $1\text{ kg}=1000\text{ grams}$ to convert the kilograms into grams. Now we will simplify the value to get the weight in grams. After having the Weight in grams we will use the relation between grams and milligrams which is given by $1\text{ gram}=1000\text{ milligrams}$. Now we will simplify the value to get the required result.

Complete step by step answer:
Given weight is $400\text{ kg}$.
Converting the above mentioned kilograms into grams by using the relation $1\text{ kg}=1000\text{ grams}$, then we will get
$400\,\text{ }\text{kg}=400\times 1000\text{ grams}$
Simplifying the above values by performing multiplication, then we will have
$400\text{ kg}=4,00,000\text{ grams}$
Now converting the above mentioned grams into milligrams by using the relation $1\text{ gram}=1000\text{ milligrams}$, then we will get
$400\text{ kg}=4,00,000\times 1000\text{ milligrams}$
Simplifying the above value by performing multiplication, then we will have
$400\text{ kg}=40,00,00,000\ \text{milligrams}$

Hence the weight $400\text{ kg}$ can be written in milligrams as $40,00,00,000\ \text{milligrams}$.

Note: In this problem they have asked to convert the weight which is kilograms into milligrams. Sometimes they may ask to convert length which is kilometers into centimeters or millimeters. Then the following relations are used to convert them.
$1\text{ Km}=1000\text{ meters}$ , $1\text{ meter}=100\text{ cm}$ and $1\text{ cm}=10\text{ millimeter}$.