Question

Select the symbols that would make the comparison true2.5 ____ 2.05

Answer 1

We are told that we want to compare numbers 2.5 and 2.05. That is, we want to check if they are equal, or if any of them is greater than the other. We can easily see that there is a 0 on the number on the right, so they cannot be equal. This means that either the one onf the left is greater or the one on the right. Note that before the decimal point, both of them have 2 units. Then, after the decimal point, the one of the left has the digit 5 and the second one has the digit 0. As 5 is greater than 0, we have that 2.5 is greater than 2.05. So we get that

`2.5>2.05`

As these two numbers are not equal, we could also write

`2.5\\e2.05`

As a recap, these are the meaning of each symbol.

The symbol > means "greater than". This symbol expresses that whatever is on the left side of the symbol is greater than whatever is on the right side of the symbol.

The symbol < means "less than" . This symbol expresses that whatever is on the left side of the symbol is less than whatever is on the right side of the symbol.

The sign = means that both quantities that are on each side are equal.

The symbols

`\ge,\leq`

mean "greater or equal" and "less than or equal" , which are a mix of greater than/less than and equality sign. So, for example, "greater than or equal to" means that either the one on the left is greater than the one on the right or is equal.

Finally, the sign

`\\e`

means "not equal"