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Integer Application

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Where do we see negative integers

• Temperature• Money• Distance below sea level

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Look at the following temperature questions.

Don’t be afraid to draw a thermometer to help.

Are you ready?

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On Monday the low temperature in Denver, Colorado was -15°F and the high temperature was 35°F. What equation could be used to find t, how much warmer was the high temperature than the low temperature?

t = 35 – (-15)

How much warmer was the high temperature than the low temperature ? 50°

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The low temperature for Nome, Alaska was -5°F. The high temperature was 41° higher than the low temperature. What expression could be used to determine the high temperature?A. -5 - 41B. -5 + 41C. -5 + (-

41)D. 5 + 41

What was the high temperature?

36°F

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The record low temperature in Texas was recorded in Seminole, Texas at -23°F. The record high temperature in Texas was recorded in Seymour, Texas at 120°F. Select an equation that could be used to find x, the difference in the record high and record low temperatures?

A. B.

C. D.

120 ( 23) x 120 ( 23) x

120 ( 23) x 120 23 x

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The table below shows elevation of five locations above and below sea level.

City Distance Above/Below Sea Level (feet)

Death Valley, CA -86

New Orleans, LA -6

Sacramento, CA 52

Waikiki, HI 236

What equation could be used to determine d, the difference in elevation between Death Valley and Waikiki?

A. -86 – 236 = dB.236 + -86 = dC.-86 – (-236) = dD.236 – (-86) = d

What was the difference in elevation between Death Valley and Waikiki?

322 feet

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0011 0010 1010 1101 0001 0100 1011We also see negative integers when we talk about money. Look at

the following questions that deal with money .

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Mrs. Franklin has $32 in her checking account. She needs to write a check to her best friend for babysitting. She owes her friend $47. Write an equation that could be used to find m, the amount of money that Mrs. Franklin has in her checking account after she writes the check?

32 47m What is the value of m?

-$15

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Mr. Jefferson owed $56 to his brother for helping him move into his new apartment. He paid him $24. Select the expression that could be used to determine how much Mr. Jefferson still owes his brother.

A. -56 + 24

B. 56 + 24

C. 56 – 24

D. -56 - 24

How much does Mr. Jefferson still owe his brother?

-$32

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We also see negative integers in distances

problems.

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The highest peak in Texas is Guadalupe Peak at almost 8,800 feet above sea level. The lowest point in the United States is in Death Valley, California. Death Valley is 86 feet below sea level. What equation could be used to find d, the difference between Death Valley and Guadalupe Peak?

A. 8800 – 86 = dB. 8800 – (-86) =

dC. -8800 + (-86) =

dD. -8800 + 86 = d

What is the difference between Death Valley and Guadalupe Peak?

8886 feet

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Look at the picture below and see if you can give an expression that can be used to determine the distance between the bird and the fish.Bird is 23 feet

above sea level

Fish is 16 feet below sea level

23 – (-16)

What is the distance between the bird and the fish?

39 feet

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Sometimes problems have more than one number in them. To help keep everything organized we can use a scoreboard. We put the positives on one side and the negatives on the other. This helps keep everything organized. + -

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Use the scoreboard method with the following problem:During Super Bowl XXXVI, six New England Patriots rushed for 92 yards, 22 yards, 15 yards, -5 yards, -4 yards, and 3 yards. What was the total number of their rushing yards?

+ - 123 yards

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In 2004, a company’s sales were $52 million. The table below gives the change each year for the next several years.

YearChange

(in Millions of Dollars)

2005 -8

2006 +3

2007 -4

2008 +6

2009 +1

Which equation could be used to determine s, the sales of the company in 2009?

A. 52 – (8 +4) – (3 + 6 + 1) = t

B. 52 – (8 +4) + (3 + 6 + 1)= t

C. 52 – 8 + 4 + 3 + 6 + 1 = t

D. 52 + (8 - 4) + (3 + 6 + 1) = t

What would the company’s sales have been in 2009? $50 Million

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Several classmates were playing a game using a number line, moving a game piece to the right for positive numbers and to the left for negative numbers. Mel began at zero. After Mel made moves of +7, -12, -1, what equation could help Mel determine m, what move he needs to make in order to end up on zero?A. 0 = -7 + 12 + 1 + mB. 0 = 7 - (-12) - (-1) +

mC. 0 = 7 + (-12) + (-1) +

mD. 0 = 7 + 12 + 1 + m

What move would Mel have to make to end up on zero?

+6