5.3.4 Negative Numbers Used in Golf

Now that you’re a pro at working with negative numbers, let’s try one more activity!

Activity symbol; Activity: Are You Ready for Some Golf?

On a lazy Sunday afternoon, you are watching golf on TV. There are two players that you are particularly interested in and their scores for the first nine holes of the round are shown below. What is the total score for each player and at this point in the game who is ahead?

Player 1Player 2
12
22
13
10
21
32
00
21
21

The score for each hole is the number of shots below or over the average for that hole, so the lower the score the better in this case!

Hint symbol

Discussion

 For each player count the number of times each different score occurs and use multiplication to calculate the overall scores.

Solution symbol

Answer

Player 1:  three holes at one below average, four holes at two below average, one hole at three below average, and one hole at the average score.

So Player 1’s score = 3 × 1 + 4 × 2 + 1 × 3 + 1 × 0 = 3 + 8 + 3 + 0 = 14

Player 2: three holes at one below average, three holes at two below average, one hole at three below average, and two holes at the average score.

So Player 2’s score = 3 × 1 + 3 × 2 + 1 × 3 + 2 × 0 = 3 + 6 + 3 + 0 = 12

Because 14 is less than 12, this means that after nine holes, Player 1 is in the lead.

5.3.3 Working with Negative Numbers by Hand

5.3.5 Wrapping Up Negative Numbers