Question

Arrange in descending order:
$0.444,4.04,4.44,4.044,0.404,4.404$

Answer 1

Adding zeroes in the end of decimal numbers
Adding zero in the end of $4.04$, it becomes $4.040$.
Comparing Decimals
Comparing $4.440,4.044,4.404,4.040$
Comparing the ones digit of all the numbers, we know that all are same, moving to the tenths digit,
We know that,
$\frac{4}{10}>\frac{0}{10}$

This mean, $4.440,4.404>4.044,4.040$
Therefore comparing $4.440$and $4.404$
Looking at the ones digit, it is the same, looking at the tenths digit, it is also the same, looking at the hundredths digit,
we know that
$\frac{4}{100}>\frac{0}{100}$
Thus, $4.440$is the greatest.
$4.440>4.404$
Comparing $4.040$ and $4.044$
Looking at the ones digit, it is the same. Moving to the tenths and hundredths digit, they are also the same.
Looking at the thousandths digit, we know that
$\frac{0}{1000}<\frac{4}{1000}$
Thus, $4.044>4.040$
Now, comparing
$0.444$and $0.404$
Looking at the ones digit, it is the same, looking at the tenths digit, it is also the same.
Looking at the hundredths digit, we know that
$\frac{4}{100}>\frac{0}{100}$
Thus, $0.444>0.404$
This means, $0.404$is the smallest.
Arranging in descending order
$4.440>4.404>4.044>4.040>0.444>0.404$