You have learned how to put a list of integers in order. For example, if given the integers 7,−3, and 2, you can plot them on a horizontal or vertical number line. Then you can use the number line to create your ordered list. The ability to order numbers, including integers, is important. Because numbers have a certain order, you can compare them and make decisions. Watch the video below to see where you might compare integers in your daily life.
Noor is in charge of the school dance decoration committee.
She needs to buy some bulk party supplies, including streamers.
Noor can buy a large box of streamers from PartyOn for $18, or she can buy a medium box from Party Yard for $13.
The dance committee has budgeted a maximum of $15 for streamers.
Since $13 is less than $15, Noor will have to buy from Party Yard.
Otherwise, she will overspend her budget.
Determining whether an integer is greater than or less than another integer helps you make decisions, just like Noor.
In this lesson, you will compare integers and write inequalities to help Noor finish buying the decorations for the school dance.
Question
Jessenia is standing 18 feet to the right of a tree. Liam is standing 13 feet to the left of the same tree.
Who is standing a greater distance away from the tree?
Jessenia is farther from the tree because 18 feet is greater than 13 feet.