Question

Which is greater? Give reason for your answer:

$5.64\mathrm{or}5.603$

Answer 1

Find the greater one:

For comparing the two decimal numbers, we will first compare the whole number part (before the decimal point) and then the fractional part (after the decimal point).

Here, the whole number part of $5.64\mathrm{and}5.603$ is same which is $5$.

Now, we will compare the fractional part,

The tenths place number in $5.64$ is $6$ and in $5.603$ is $6$. Both are same.

So we will now compare the hundredths place number,

The hundredths place number in $5.64$ is $4$ and in $5.603$ is $0$.

Hence, $4>0$.

Therefore, $5.64>5.603$.