Question
Which is greater $1.09$ or $1.093?$

Answer

Here,
$1.09=1+\frac{0}{10}+\frac{9}{100}+\frac{0}{1000}$
$1.093=1+\frac{0}{10}+\frac{9}{100}+\frac{3}{1000}$
In this case, the two numbers have the same parts up to the hundredths place.
But the thousandths part of $1.093$ is greater than that of $1.09.$
Therefore, $1.093 > 1.09.$

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