Question

Select the appropriate symbol (<,>, or =) to describe the relationship between each pair of numbers

Answer 1

Step-by-step explanation:

Here, we want to compare values

The operator we put in the box will be dependent on the relationship between the two numbers

a) Here, we know that 1.1 is greater than 1.09, thus the operator between this too will be the less-than operator

`1.09\text{ }<\text{ 1.01}`

b) Here, we want to compare a fraction and a decimal;

To make it easy, we turn them into the same form. For example, in this case, we can make the fraction, decimal and that means it will be greater than the original decimal

Thus, we use the greater than operator as shown below:

`(8)/(7)\text{ }>\text{ 1.1}`

c) For negative numbers, the lower ones are usually the ones with a higher value

Take for example. we know that -2 is less than -1

Thus, in this case, we use the greater than operator as shown below:

`-1.09\text{ }>\text{ -1.1}`

d) This is a similar one to the last question

From (b) above, we know that 8/7 is greater, but since we are considering their negative equivalents, we are going to use the less-than operator as follows:

`-(8)/(7)<\text{ -1.1}`