Question

Why is 5.1 bigger than 5.099

Answer 1

5.1 is greater than 5.099, because the value of the 1 in 5.1 is more than the value of the 99 in 5.099.

`\begin{gathered} 5.1=5+0.1=5+(1)/(10)=5+(100)/(1000) \\ 5.099=5+0.099=5+(99)/(1000) \end{gathered}`

The value of 1 in 5.1 is 0.1, while the value of the 99 in 5.099 is 0.099.

Since 0.1 is bigger than 0.099, then 5.1 is bigger than 5.099.

Also, 5.1 is greater than 5.099 because a bigger number on 5.1 (which is 1) is closer to the decimal point compared to 5.099 (1 is bigger than 0). the closer a decimal is to the decimal point the higher its value.