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Video: Arranging Integers in Ascending Order

Kathryn Kingham

A group of five friends played a card game. Their scores were as follows: Person A, +25; Person B, −19; Person C, −21; Person D, +6; Person E, −2. Arrange the players from the worst performing player to the best.

02:24

Video Transcript

A group of five friends played a game. Their scores are as follows: person A, positive 25; person B, negative 19; person C, negative 21; person D, positive six; and person E, negative two. Arrange the players from worst performing to best performing.

Our job here is to arrange the players from worst performing to best performing. For this question, let’s assume that our best player has the highest score. Usually a negative score is not something you want in games.

When solving problems like this, I think it’s best to sketch a number line. We’ll put zero in the middle, then we’ll place all five players where they would fall on this number line: plus 25 for person A, negative 19 for person B, negative 21 for person C — remember that negative 21 is the less than negative 19; it’s further away from zero — a score of positive six from person D, and lastly negative two from person E.

To arrange them from worst to best performer, we need the smallest number to the largest number, which means will move from left to right on our number line.

Worst performer: person C. Next up, person B followed by person E. Person D finally moved out of the negative numbers with a score of positive six. And last, our highest score, our best performer, person A with the score of positive 25.

Here’s the final order.