Question

Compare:
$2.71$and $2.718$

Answer 1

Adding zeroes to the end of decimal numbers
Adding zero to the end of $2.71$, it becomes $2.710$
Comparing Decimals
$2.710$ can be written as $2\times 1+\frac{7}{10}+\frac{1}{100}+\frac{0}{1000}$
$2.718$ can be written as $2\times 1+\frac{7}{10}+\frac{1}{100}+\frac{8}{1000}$
Comparing the numbers, Ones digit is the same, moving to the tenths place, it is also the same, moving to hundredths place, it is also same
Looking at the thousandths place, we know that
$\frac{0}{1000}<\frac{8}{1000}$
Thus, $2.718>2.710$