Studdy AI Logo
Math

Question1. What subtraction does the number line show?
2. Solve −9−(−5)-9 - (-5).
3. Starting temp was 6∘F6^{\circ} F, dropped 9∘F9^{\circ} F. What’s the end temp?
4. Murphy thinks 9−(−8)=179 - (-8) = 17, Naryam thinks it’s -1. Who’s right? What’s the mistake?
5. Today’s high is 16∘F16^{\circ} F colder than yesterday’s −2∘F-2^{\circ} F. Write today’s temp expression and determine if it’s positive or negative.
6. Max runs 10 feet forward, then 15 feet back. Use subtraction to find his position from the start.

Studdy Solution

STEP 1

Assumptions1. The subtraction expression is −9−(−5)-9-(-5). The temperature at the beginning of the day was 6∘6^{\circ} \mathrm{}
3. The temperature dropped 9∘9^{\circ} \mathrm{} by the end of the day4. The math homework problem is 9−(−8)9-(-8)5. Murphy's answer is176. Naryam's answer is -17. Yesterday's high temperature was −∘-^{\circ} \mathrm{}
8. Today's high temperature is 16∘16^{\circ} \mathrm{} colder than yesterday's9. Max sprints forward10 feet and then stops and sprints back15 feet

STEP 2

First, let's solve the subtraction expression −9−(−5)-9-(-5). In subtraction, subtracting a negative number is equivalent to adding a positive number.
−9−(−5)=−9+5-9-(-5) = -9 +5

STEP 3

Calculate the value of the expression.
−9+5=−-9 +5 = -

STEP 4

Now, let's find the temperature at the end of the day. The temperature dropped 9∘9^{\circ} \mathrm{} from 6∘6^{\circ} \mathrm{}.
Temperatureend=Temperaturestart−TemperaturedropTemperature_{end} = Temperature_{start} - Temperature_{drop}

STEP 5

Plug in the values for the starting temperature and the temperature drop to calculate the end temperature.
Temperatureend=∘−9∘Temperature_{end} =^{\circ} \mathrm{} -9^{\circ} \mathrm{}

STEP 6

Calculate the end temperature.
Temperatureend=6∘−9∘=−3∘Temperature_{end} =6^{\circ} \mathrm{} -9^{\circ} \mathrm{} = -3^{\circ} \mathrm{}

STEP 7

Now, let's solve the math homework problem 9−(−)9-(-). As before, subtracting a negative number is equivalent to adding a positive number.
9−(−)=9+9-(-) =9 +

STEP 8

Calculate the value of the expression.
+8=17 +8 =17Therefore, Murphy is correct.

STEP 9

The error that likely led to Naryam's incorrect answer is that he subtracted8 from9, instead of adding8 to9.

STEP 10

Now, let's find today's high temperature. Today's high temperature is 16∘16^{\circ} \mathrm{} colder than yesterday's high temperature of −2∘-2^{\circ} \mathrm{}.
Temperaturetoday=Temperatureyesterday−TemperaturedropTemperature_{today} = Temperature_{yesterday} - Temperature_{drop}

STEP 11

Plug in the values for yesterday's temperature and the temperature drop to calculate today's temperature.
Temperaturetoday=−∘−16∘Temperature_{today} = -^{\circ} \mathrm{} -16^{\circ} \mathrm{}

STEP 12

Calculate today's temperature.
Temperaturetoday=−2∘−16∘=−18∘Temperature_{today} = -2^{\circ} \mathrm{} -16^{\circ} \mathrm{} = -18^{\circ} \mathrm{}Therefore, today's high temperature is negative because it is below zero.

STEP 13

Finally, let's find where Max is relative to where he started. He sprints forward10 feet and then sprints back15 feet.
PositionMax=Distanceforward−DistancebackPosition_{Max} = Distance_{forward} - Distance_{back}

STEP 14

Plug in the values for the forward distance and the back distance to calculate Max's position.
PositionMax=10 feet− feetPosition_{Max} =10\, feet -\, feet

STEP 15

Calculate Max's position.
PositionMax=10 feet−15 feet=−5 feetPosition_{Max} =10\, feet -15\, feet = -5\, feetTherefore, Max is5 feet behind where he started.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord