Question

How do you simplify \[4 \div 0.5\]?

Answer 1

Hint: We need to know about the decimal representation that is defined as the form of the number in which it contains a whole number and the decimal part after the dot or point which is known as decimal point. Now we would just try to remove the decimal point simplifying the expression and solving it further to get the desired answer.

Complete step-by-step answer:
In this question we are given an expression that is \[4 \div 0.5\] and we are asked to simplify that which can be done as it is containing a decimal point the divisor we need to eliminate that. But firstly this given expression can also be written in the fractional form that is the \[\dfrac{p}{q}\] form where the is \[p\] the number to be divided and \[q\] is the divisor so here \[4\] is the number to divided and the \[0.5\] is the divisor so the equivalent fractional representation of \[4 \div 0.5\] is-
=\[\dfrac{4}{{0.5}}\]
Here removing the decimal point from the denominator by multiplying the numerator and denominator by \[{10^1}\]
\[
= \dfrac{4}{{0.5}} \\
= \dfrac{{40}}{5} \\
 \]
So we would now divide the further resultant expression that is dividing \[40\] by \[5\] we get –
\[
  \dfrac{{40}}{5} \\
   = 8 \\
 \]
So, the resultant of the given expression \[4 \div 0.5\] is \[ = 8\].

Note: While solving such kind of questions one should take care about the decimal removal as it is the foremost step in the solving of the question also there should be precision in the calculation to get the right answer.