Question

Compare a=0.432, b=0.437

Answer 1

So we need to compare two numbers. This means telling which is smaller and which is greater or if they are equal. In this case we have decimal numbers but it's more comfortable to work with integers so I'm going to multiply both by the same number in order to make them integers:

`\begin{gathered} A=0.432\cdot1000=432 \\ B=0.437\cdot1000=437 \end{gathered}`

Since both a and b where multiplied by the same number then the result of the comparison between A and B is the same as that between a and b. So we have 432 and 437. Let's make a substraction:

`A-B=432-437=-5`

The result is a negative number which means that:

`A-B<0`

Then we add B at both sides of this inequality:

[tex]\begin{gathered} A-B+B<0+B \\ AAs I said before the comparison between A and B is the same as that between a and b which means that:[tex]aAnd that last inequality is the answer.