Question

What is $0.6$ divided by$4$?

Answer 1

Hint: To divide the decimal numbers multiply the divisor by as many ten’s as necessary until we get a whole number. Remember to multiply then divide by the same number of ten’s. If the divisor is not a whole number. Move the decimal point to the right, make it a whole number and move the decimal point in dividend the same number places. Divide as usual. Keep dividing until the answer terminates or repeats. Put the decimal point directly above the decimal point in the dividend. Check the answer. Multiply quotient by divisor. Does it equal the dividend?

Complete step-by-step solution:
Given is $0.6$ divided by $4$
We should write this as a mathematical type.
That means,
$ = \dfrac{{0.6}}{4}$
Here, we have the one decimal point at the numerator.
Multiply both numerator and denominator by ten.
$ = \dfrac{{0.6}}{4} \times \dfrac{{10}}{{10}}$
However we need to multiply the top and bottom by the same number which is the same as multiplication by one
Therefore we have,
$ = \dfrac{{0.6}}{4} \times \dfrac{{10}}{{10}}$
$ = \dfrac{6}{{40}}$
Divide the six by forty, first here two is common.
$\dfrac{{3 \times 2}}{{20 \times 2}}$
We can write six as multiplication of three and two. At the same time we can write forty as multiplication of twenty and two.
Cancel the common terms on numerator and denominator. We get,
$ = \dfrac{3}{{20}}$
Divide the number three by twenty, we have,
$
   = \dfrac{3}{{20}} \\
   = 0.15 \\
 $
Therefore solution for $0.6$ divided by $4$is
$ = 0.15$

Note: The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. The way of denoting numbers in the decimal systems is often referred to as decimal notation. For dividing the decimal numbers we convert the decimal numbers as fractions and then cancel the common terms to simplify the fractions.