What does it mean for a number to

What does it mean for a number to be negative?

Core Lesson 0 separates positive and negative numbers. 0 is neither positive or negative. Negative Numbers Positive Numbers

Core Lesson

Core Lesson

Core Lesson 9

Core Lesson -9

Core Lesson 6 4 2 0 Negative Numbers -2 -4 -6 Positive Numbers

Core Lesson 6 4 2 0 -2 -3 -4 -6

Core Lesson (-5) or -5 -2 or (-2)

Core Lesson Integers: …-4, -3, -2, -1, 0, 1, 2, 3, 4…

Guided Practice 1. Write negative 5 two different ways. -5 or (-5) 2. Which is written correctly? 8 - or -8 -8

Quick Quiz 1. Write negative 12 two different ways. 2. Which is written correctly: -3 or 3 -

Negative Numbers in REAL LIFE Elevation Temperature Money

How do you describe elevations that are above sea level and below sea level?

6 4 2 0 Negative Numbers -2 -4 -6 Positive Numbers

200 feet below sea level -200 feet below sea level

2’ 0’ -2’ Sea level is another way of referring to 0.

700’ or 700 feet above sea level 700’ 220’ 0’

3’ 0’ -5’ or 5’ below sea level -5’

3’ 0’ -400’ or 400’ below sea level -400’

Some places on land are actually below sea level! Death Valley in California is 282’ below sea level or – 282’

1. A hiker climbs 150 feet up Mt. Whitney. Is this a positive or negative number? 2. A submarine dives 200 feet below sea level. How would you write this?

1. Mt. Everest is 29, 029 feet above sea level. Is this a positive or negative number? 2. If you go scuba diving and go 50 feet below sea level, how would you write the elevation?

What does a temperature below zero mean?

6 4 2 0 Negative Numbers -2 -4 -6 Positive Numbers

Writing -20 degrees as 20 degrees below zero

Celsius Boiling point of water 100 degrees Celsius & 212 degrees Fahrenheit 50 Freezing point of water 0 0 degrees Celsius & 32 degrees Fahrenheit 212 90 32

A thermometer is just like a vertical number line. 100 50 0

A fever: 102 degrees F (38. 9 C) A really hot day: 110 degrees F (43. 3 C) The sun: 10, 000 degrees F (5, 537. 7 C)

15 The starting temperature is at -5 degrees and then drops 10 degrees. What would the new temperature be? 0 -5 -10 -15 -20 10 5 0 -5 -10 -15 -20

15 What about if we start at a positive temperature and drop 15 degrees? 5 0 -5 -10 -15 -20 10 5 0 -5 -10 -15 -20

20 degrees below zero or -20 degrees

Did you know? Fairbanks Alaska: -6 degrees F

1. You have a fever and your temperature goes down 2 degrees. Is your new temperature a positive or negative number? Positive 2. It is a very cold day, and the temperature drops to 20 degrees below zero, how would you write this? -20

1. Water boils at 100 degrees Celsius. Is this a positive or negative number? 2. One of the coldest temperatures in Nebraska is 47 degrees below zero Fahrenheit, how would you write this?

In what situations can money be negative?

Think about situations where you have either spent money or lost it. In both cases you don’t have it anymore. This would be negative

Think about situations where you have either earned money or been given money. In both cases you HAVE the money. This will be positive

You mow the lawn and get $10

You get money for your birthday: $50

BANK Deposit Savings Checking

Hey, Jake can I borrow $2? Sure Dave, just make sure you pay it back.

Now, Dave owes Jake $2. -$2

You spend $15 on a shirt. -$15

You buy a car for $37, 000 -$37, 000

Description Deposit Amount $100 Balance $100 - 20 = Bought Shoes -$20 $80 - 15 = Went to Movies -$15 $65 + 30 = $30 $95 -$50 $45 Babysitting Bought Video Game - 50 =

1. If you owe your friend 5 dollars, would that be written as a positive or negative number? -$5 2. If your parents give you 10 dollars for chores, is that written as a positive or negative number? $10

1. You owe the library 2 dollars in fines. Is that written as a positive or negative number? 2. You make 15 dollars babysitting. Is that written as a positive or negative number?

In this lesson you will learn to describe negative values with words by using a number line.

-5 and 5

lllllllllllllllllllll -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5 -$4. 25 OR $4. 25 in debt

llllllllllllllll -9. 5 OR 9. 5 ft. underwater 15 ft. 10 ft. 5 ft. 0 Sea Level -5 ft. -10 ft. -15 ft.

lllllllllllllllllllllllllllllllllllllllll -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 -5. 75 OR 5. 75 yard loss 5 6 7 8 9 10

How could you write each situation? 1) 2) 3) 4) Mary owes her friend $6. 25. Chris gained 25 yards. Kate won $13 in a raffle. Bailey is 1500 feet below sea level

A submarine is hovering 12 ft. below sea level. How far does the submarine need to rise to reach sea level?

A -12. 5 -6. 5 llllllllllllllll B 15 ft. 10 ft. 5 ft. 0 Sea Level -5 ft. -10 ft. -15 ft.

Tim owes $4. 75 Chris owes $2. 25 lllllllllllllllllllll -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5 -$4. 75 OR 4. 75 in debt -$2. 25 OR $2. 25 in debt

Gracie and Ella are running a race. Ella is 8. 5 yards from the finish line and Gracie is 3. 75 yards from the finish line. Who is further from the finish line?

Bailey owes Ms. Beverly $3. 50 and Jaden owes her $4. 50. Put these two values on a number line

lllllllllllllllllllll -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5 More Debt Less Debt

If New York is -15°, and Chicago is -10°, which city is colder?

Chicago -10° llllllllllllllll New York -15° C o l d e r 15° 10° 5° 0° -5° -10° -15°

-15 -10 New York -15° Chicago -10° -15 < -10

llllllllllllllll D e e p e r S h a l l o w e r 15 ft. 10 ft. 5 ft. 0 Sea Level -5 ft. -10 ft. -15 ft.

llllllllllllllll If Portland is -2°, and Seattle is -4°, which city is colder? 15° 10° 5° 0° -5° -10° -15°

Draw a number line and put $4. 25 in debt and $3. 50 in debt. Write an inequality that shows this relationship using absolute value. lllllllllllllllllllll -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5

Which of the following shows the greatest debt? a. -$5. 50 c. -$5. 75 b. -$4. 75 d. -$3. 25

Opposite Absolute Value

What is the opposite of each number? 1) -5 2) 6 3) 12 4) -1. 5 5) 2. 3 6) 78 7) -90 8) -51 9) 11 10) 75

What is the absolute value of each number? 1) -5 2) 6 3) 12 4) -1. 5 5) 2. 3 6) 78 7) -90 8) -51 9) 11 10) 75