Question

How do you convert \[155\;mg\] to \[g\] ?

Answer 1

Hint: This question involves the arithmetic operations like addition/ subtraction/ multiplication/ division. We need to know the relation between milligram to gram and gram to kilogram measures to solve these types of questions. Also, we need to know the expansion of \[milli\] measures, \[kilo\] measures, etc. Also, we need to know how to convert the whole number terms into decimal terms.

Complete step-by-step answer:
In this question, we would convert the term \[155\;mg\] to \[g\] measures.
We know that,
 \[mg \to \] \[milligram\]
 \[g \to \] \[gram\]
We also know that,
 \[milli\] Indicates \[{10^{ - 3}}\] ,
 \[kilo\] Indicates \[{10^3}\]
By this information, we get
 \[1\;milligram = {10^{ - 3}}\;gram\] \[ \to \left( 1 \right)\]
In this question, we have to convert \[155\;milligram\] to \[gram\] . To find the solution for a given problem. Let’s multiply \[155\] on both sides in the equation \[\left( 1 \right)\] , we get
 \[\left( 1 \right) \to 1\;milligram = {10^{ - 3}}\;gram\]
 \[1 \times 155\;milligram = 155 \times {10^{ - 3}}gram \to \left( 2 \right)\]
We know that,
 \[1 \times {10^{ - 3}}\] Can also be written as \[0.001\]
So, we get
 \[155 \times {10^{ - 3}}\] Can also be written as \[0.155\]
Let’s substitute these value in the equation \[\left( 2 \right)\] , we get
 \[\left( 2 \right) \to 1 \times 155\;milligram = 155 \times {10^{ - 3}}\;gram\]
 \[155\;milligram = 0.155\;gram\]
So, the final answer is,
 \[155mg = 0.155\;g\]
So, the correct answer is “0.155 g”.

Note: This question describes the operation of addition/ subtraction/ multiplication/ division and this question also involves the use of scientific notations. Note that, the \[milli\] measures can be written as \[1 \times {10^{ - 3}}\], the \[kilo\] measures can be written as\[1 \times {10^3}\], and by using this information we can easily find the solution for these type of questions. Also, note that if we have a negative sign in \[10\] to the power, we have to move the decimal point from the right side to the left side. Note that if we have a positive sign in \[10\] to the power, we have to move the decimal point from the left side to the right side.