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Common Core: 6th Grade Math : Understand the Value of Positive and Negative Numbers: CCSS.Math.Content.6.NS.C.5

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #551 : Problem Solving

On a particular November day, it is $65^\circ F$ $\displaystyle 65^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-23^\circ F$ $\displaystyle -23^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$88^\circ F$ $\displaystyle 88^\circ F$

$98^\circ F$ $\displaystyle 98^\circ F$

$97^\circ F$ $\displaystyle 97^\circ F$

$78^\circ F$ $\displaystyle 78^\circ F$

$87^\circ F$ $\displaystyle 87^\circ F$

Correct answer:

$88^\circ F$ $\displaystyle 88^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $23^\circ F$ $\displaystyle 23^\circ F$ below zero and in Tucson it is $65^\circ F$ $\displaystyle 65^\circ F$ above zero; therefore we can say:

$23+65=88^\circ F$ $\displaystyle 23+65=88^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 23$ units away from zero and Tucson’s is $\displaystyle 65$ units away.

Temp1

We can see that Tucson is $88^\circ F$ $\displaystyle 88^\circ F$ warmer than New Castle.

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Example Question #552 : Problem Solving

On a particular November day, it is $70^\circ F$ $\displaystyle 70^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-27^\circ F$ $\displaystyle -27^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$77^\circ F$ $\displaystyle 77^\circ F$

$79^\circ F$ $\displaystyle 79^\circ F$

$97^\circ F$ $\displaystyle 97^\circ F$

$89^\circ F$ $\displaystyle 89^\circ F$

$98^\circ F$ $\displaystyle 98^\circ F$

Correct answer:

$97^\circ F$ $\displaystyle 97^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $27^\circ F$ $\displaystyle 27^\circ F$ below zero and in Tucson it is $70^\circ F$ $\displaystyle 70^\circ F$ above zero; therefore we can say:

$27+70=97^\circ F$ $\displaystyle 27+70=97^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 27$ units away from zero and Tucson’s is $\displaystyle 70$ units away.

Temp2

We can see that Tucson is $97^\circ F$ $\displaystyle 97^\circ F$ warmer than New Castle.

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Example Question #553 : Problem Solving

On a particular November day, it is $75^\circ F$ $\displaystyle 75^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-31^\circ F$ $\displaystyle -31^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$106^\circ F$ $\displaystyle 106^\circ F$

$160^\circ F$ $\displaystyle 160^\circ F$

$116^\circ F$ $\displaystyle 116^\circ F$

$86^\circ F$ $\displaystyle 86^\circ F$

$76^\circ F$ $\displaystyle 76^\circ F$

Correct answer:

$106^\circ F$ $\displaystyle 106^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $31^\circ F$ $\displaystyle 31^\circ F$ below zero and in Tucson it is $75^\circ F$ $\displaystyle 75^\circ F$ above zero; therefore we can say:

$31+75=106^\circ F$ $\displaystyle 31+75=106^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 31$ units away from zero and Tucson’s is $\displaystyle 75$ units away.

Temp3

We can see that Tucson is $106^\circ F$ $\displaystyle 106^\circ F$ warmer than New Castle.

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Example Question #554 : Problem Solving

On a particular November day, it is $80^\circ F$ $\displaystyle 80^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-33^\circ F$ $\displaystyle -33^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$103^\circ F$ $\displaystyle 103^\circ F$

$130^\circ F$ $\displaystyle 130^\circ F$

$113^\circ F$ $\displaystyle 113^\circ F$

$131^\circ F$ $\displaystyle 131^\circ F$

$122^\circ F$ $\displaystyle 122^\circ F$

Correct answer:

$113^\circ F$ $\displaystyle 113^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $33^\circ F$ $\displaystyle 33^\circ F$ below zero and in Tucson it is $80^\circ F$ $\displaystyle 80^\circ F$ above zero; therefore we can say:

$33+80=113^\circ F$ $\displaystyle 33+80=113^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 33$ units away from zero and Tucson’s is $\displaystyle 80$ units away.

Temp4

We can see that Tucson is $113^\circ F$ $\displaystyle 113^\circ F$ warmer than New Castle.

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Example Question #555 : Problem Solving

On a particular November day, it is $85^\circ F$ $\displaystyle 85^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-32^\circ F$ $\displaystyle -32^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$117^\circ F$ $\displaystyle 117^\circ F$

$115^\circ F$ $\displaystyle 115^\circ F$

$121^\circ F$ $\displaystyle 121^\circ F$

$91^\circ F$ $\displaystyle 91^\circ F$

$101^\circ F$ $\displaystyle 101^\circ F$

Correct answer:

$117^\circ F$ $\displaystyle 117^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $32^\circ F$ $\displaystyle 32^\circ F$ below zero and in Tucson it is $85^\circ F$ $\displaystyle 85^\circ F$ above zero; therefore we can say:

$32+85=117^\circ F$ $\displaystyle 32+85=117^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 32$ units away from zero and Tucson’s is $\displaystyle 85$ units away.

Temp5

We can see that Tucson is $117^\circ F$ $\displaystyle 117^\circ F$ warmer than New Castle.

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Example Question #182 : Grade 6

On a particular November day, it is $90^\circ F$ $\displaystyle 90^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-25^\circ F$ $\displaystyle -25^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$151^\circ F$ $\displaystyle 151^\circ F$

$82^\circ F$ $\displaystyle 82^\circ F$

$97^\circ F$ $\displaystyle 97^\circ F$

$91^\circ F$ $\displaystyle 91^\circ F$

$115^\circ F$ $\displaystyle 115^\circ F$

Correct answer:

$115^\circ F$ $\displaystyle 115^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $25^\circ F$ $\displaystyle 25^\circ F$ below zero and in Tucson it is $90^\circ F$ $\displaystyle 90^\circ F$ above zero; therefore we can say:

$25+90=115^\circ F$ $\displaystyle 25+90=115^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 25$ units away from zero and Tucson’s is $\displaystyle 90$ units away.

Temp6

We can see that Tucson is $115^\circ F$ $\displaystyle 115^\circ F$ warmer than New Castle.

Report an Error

Example Question #556 : Hspt Mathematics

On a particular November day, it is $95^\circ F$ $\displaystyle 95^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-26^\circ F$ $\displaystyle -26^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$111^\circ F$ $\displaystyle 111^\circ F$

$81^\circ F$ $\displaystyle 81^\circ F$

$121^\circ F$ $\displaystyle 121^\circ F$

$115^\circ F$ $\displaystyle 115^\circ F$

$112^\circ F$ $\displaystyle 112^\circ F$

Correct answer:

$121^\circ F$ $\displaystyle 121^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $26^\circ F$ $\displaystyle 26^\circ F$ below zero and in Tucson it is $95^\circ F$ $\displaystyle 95^\circ F$ above zero; therefore we can say:

$26+95=121^\circ F$ $\displaystyle 26+95=121^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 26$ units away from zero and Tucson’s is $\displaystyle 95$ units away.

Temp7

We can see that Tucson is $121^\circ F$ $\displaystyle 121^\circ F$ warmer than New Castle.

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Example Question #556 : Problem Solving

On a particular November day, it is $100^\circ F$ $\displaystyle 100^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-22^\circ F$ $\displaystyle -22^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$120^\circ F$ $\displaystyle 120^\circ F$

$124^\circ F$ $\displaystyle 124^\circ F$

$92^\circ F$ $\displaystyle 92^\circ F$

$122^\circ F$ $\displaystyle 122^\circ F$

$116^\circ F$ $\displaystyle 116^\circ F$

Correct answer:

$122^\circ F$ $\displaystyle 122^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $22^\circ F$ $\displaystyle 22^\circ F$ below zero and in Tucson it is $100^\circ F$ $\displaystyle 100^\circ F$ above zero; therefore we can say:

$22+100=122^\circ F$ $\displaystyle 22+100=122^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 22$ units away from zero and Tucson’s is 100 $\displaystyle 100$ units away.

Temp8

We can see that Tucson is $122^\circ F$ $\displaystyle 122^\circ F$ warmer than New Castle.

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Example Question #112 : Word Problems

On a particular November day, it is $105^\circ F$ $\displaystyle 105^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-20^\circ F$ $\displaystyle -20^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$125^\circ F$ $\displaystyle 125^\circ F$

$95^\circ F$ $\displaystyle 95^\circ F$

$135^\circ F$ $\displaystyle 135^\circ F$

$115^\circ F$ $\displaystyle 115^\circ F$

$127^\circ F$ $\displaystyle 127^\circ F$

Correct answer:

$125^\circ F$ $\displaystyle 125^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $20^\circ F$ $\displaystyle 20^\circ F$ below zero and in Tucson it is $105^\circ F$ $\displaystyle 105^\circ F$ above zero; therefore we can say:

$20+105=125^\circ F$ $\displaystyle 20+105=125^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 20$ units away from zero and Tucson’s is 105 $\displaystyle 105$ units away.

Temp9

We can see that Tucson is $125^\circ F$ $\displaystyle 125^\circ F$ warmer than New Castle.

Report an Error

Example Question #4 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $110^\circ F$ $\displaystyle 110^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-15^\circ F$ $\displaystyle -15^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$80^\circ F$ $\displaystyle 80^\circ F$

$152^\circ F$ $\displaystyle 152^\circ F$

$150^\circ F$ $\displaystyle 150^\circ F$

$115^\circ F$ $\displaystyle 115^\circ F$

$125^\circ F$ $\displaystyle 125^\circ F$

Correct answer:

$125^\circ F$ $\displaystyle 125^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $15^\circ F$ $\displaystyle 15^\circ F$ below zero and in Tucson it is $110^\circ F$ $\displaystyle 110^\circ F$ above zero; therefore we can say:

$15+110=125^\circ F$ $\displaystyle 15+110=125^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is $\displaystyle 15$ units away from zero and Tucson’s is 110 $\displaystyle 110$ units away.

Temp10

We can see that Tucson is $125^\circ F$ $\displaystyle 125^\circ F$ warmer than New Castle.

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : Understand the Value of Positive and Negative Numbers: CCSS.Math.Content.6.NS.C.5

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #551 : Problem Solving

Example Question #552 : Problem Solving

Example Question #553 : Problem Solving

Example Question #554 : Problem Solving

Example Question #555 : Problem Solving

Example Question #182 : Grade 6

Example Question #556 : Hspt Mathematics

Example Question #556 : Problem Solving

Example Question #112 : Word Problems

Example Question #4 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

All Common Core: 6th Grade Math Resources

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