Math

QuestionA football team loses 3 yards and then 6 yards. Write the sum of negative integers and find the total loss.

Studdy Solution

STEP 1

Assumptions1. The football team loses3 yards on one play. The football team loses6 yards on another play3. Losing yards in a football game can be represented as negative integers

STEP 2

We can represent the loss of yards in each play as negative integers. The loss of yards in the first play can be represented as - and the loss of6 yards in the second play can be represented as -6.
Firstplay=First\, play = -Secondplay=6Second\, play = -6

STEP 3

To find the total loss of yards, we add the losses from each play. In terms of integers, this means adding the two negative integers.
Totalloss=Firstplay+SecondplayTotal\, loss = First\, play + Second\, play

STEP 4

Now, plug in the values for the first play and the second play to calculate the total loss.
Totalloss=3+6Total\, loss = -3 + -6

STEP 5

Calculate the total loss.
Totalloss=3+=9Total\, loss = -3 + - = -9The football team has lost a total of9 yards in these two plays. The negative sign indicates a loss or movement backwards. The sum of the negative integers, -9, represents the total yardage lost by the team in these two plays.

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