Do Now 9/28/10Do Now 9/28/10

Take out your HW from last night.Take out your HW from last night. Textbook page 31-32, #3-11, 13-23 allTextbook page 31-32, #3-11, 13-23 all

Copy HW in your planner.Copy HW in your planner. Textbook page 32, #24-32 all, #34-40 evens, #48-58 Textbook page 32, #24-32 all, #34-40 evens, #48-58

evensevens Quiz on adding and subtracting integers Friday.Quiz on adding and subtracting integers Friday.

In your journal, answer the following question. In your journal, answer the following question. How do you add two integers that have the same How do you add two integers that have the same sign? How do you add two integers that have sign? How do you add two integers that have different signs? Provide an example for each different signs? Provide an example for each question.question.

HomeworkHomework Textbook page 31-32, #3-11, 13-23 all Textbook page 31-32, #3-11, 13-23 all

3) 23) 2 4) -154) -15 5) 85) 8 6) 86) 8 7) -127) -12 8) -138) -13 9) -69) -6 10) -1510) -15 11) -1211) -12 13) The arrow should 13) The arrow should

start at -2 and go 5 units start at -2 and go 5 units in the positive direction; in the positive direction; -2 + 5 = 3-2 + 5 = 3

14) A14) A 15) -1615) -16 16) 916) 9 17) -1017) -10 18) 1018) 10 19) -1419) -14 20) -1320) -13 21) 621) 6 22) 322) 3 23) -923) -9

ObjectiveObjective

SWBAT use absolute values to perform SWBAT use absolute values to perform integer additioninteger addition

Section 1.5 “Adding Integers” Part 2Section 1.5 “Adding Integers” Part 2

00 11 22 33 44 55-1-1-2-2-3-3-4-4-5-5

When you ADD aWhen you ADD a POSITIVE NUMBERPOSITIVE NUMBERx + 5 = x + 5 =

+5+5

-4 + 5 = 1 -4 + 5 = 1

x = -4x = -4

-4-4 + 5 = + 5 =

Addition Using a Number LineAddition Using a Number Line

00 11 22 33 44 55-1-1-2-2-3-3-4-4-5-5

When you ADD aWhen you ADD a NEGATIVE NUMBERNEGATIVE NUMBER

5 + 5 + (-7)(-7) = =

-7-7

5 + (-7) = -2 5 + (-7) = -2

5 + x = 5 + x = x = -7x = -7

ABSOLUTE VALUEABSOLUTE VALUE The distance a number is away from ZERO. Distance is always positive.The distance a number is away from ZERO. Distance is always positive.

00 11 22 33 44 55-1-1-2-2-3-3-4-4-5-5

negative positivezero

What is the absolute value of -4? or |-4| |-4| = 4

What is the absolute value of 4? or |4|? |4| = 4

Remember this???

|35| = 35|35| = 35

35 + 1835 + 18

Adding Two Integers with SAME signsAdding Two Integers with SAME signs

To add two integers with the SAME signs, To add two integers with the SAME signs, add the absolute values of the numbers. The add the absolute values of the numbers. The answer will have the same sign. answer will have the same sign.

|18| = 18|18| = 18

35 + 18 35 + 18 = 53 = 53

Section 1.5 “Adding Integers” Part 2Section 1.5 “Adding Integers” Part 2

|-35| = 35|-35| = 35

-35 + (-18)-35 + (-18)

|-18| = 18|-18| = 18

35 + 18 35 + 18 = 53 = 53 - -

|-35| = 35|-35| = 35

-35 + 18-35 + 18

Adding Two Integers with DIFFERENT signsAdding Two Integers with DIFFERENT signs

To add two integers with DIFFERENT To add two integers with DIFFERENT signs, subtract the smaller absolute value from signs, subtract the smaller absolute value from the greater absolute value and write the sign of the greater absolute value and write the sign of the integer with the greater absolute value. the integer with the greater absolute value.

|18| = 18|18| = 18

35 – 18 35 – 18 = 17 = 17 - - Because 35 has a greaterBecause 35 has a greaterabsolute value than 18 the absolute value than 18 the answer is “negative”.answer is “negative”.

Section 1.5 “Adding Integers” Part 2Section 1.5 “Adding Integers” Part 2

|-43| = 43|-43| = 43

-43 + 35-43 + 35

|35| = 35|35| = 35

43 – 35 43 – 35 = 8= 8--Because 43 has a greaterBecause 43 has a greaterabsolute value than 35 the absolute value than 35 the answer is “negative”.answer is “negative”.

|-53| = 53|-53| = 53

-53 + 85-53 + 85

|85| = 85|85| = 85

85 – 53 85 – 53 = 32= 32Because 85 has a greaterBecause 85 has a greaterabsolute value than 53 the absolute value than 53 the answer is “positive”.answer is “positive”.

Negative or Positive?Negative or Positive?Without solving the problem, decide Without solving the problem, decide

whether the sum will be positive, negative, whether the sum will be positive, negative, or zero.or zero.

7 + (-4)7 + (-4)positivepositive

-13 + 11-13 + 11negativnegativ

ee

-3 + 3-3 + 3zerozero

-73 + (-67)-73 + (-67)negativenegative

Try It Out…Try It Out…

-43 + 95-43 + 95= 52= 52 -43 + (-15)-43 + (-15) = -58= -58

37 + (-46)37 + (-46)= -9= -9 -123 + 162-123 + 162= 39= 39

-13 + 13-13 + 13 = 0= 0 -83 + 57-83 + 57= -26= -26

““Integer” CardsInteger” Cards““Integer” CardsInteger” Cards RedRed cards = Negative cards = Negative Black Black cards = Positivecards = Positive

Jack = 11, Queen = 12, King =13, Ace = 1 or 14Jack = 11, Queen = 12, King =13, Ace = 1 or 14

Dealer deals each player 2 cards.Dealer deals each player 2 cards.

The player with the The player with the higheshighest sum, gets all the cards t sum, gets all the cards from that round. from that round.

The player with the most cards at the end of the The player with the most cards at the end of the deck wins!deck wins!

HomeworkHomework

Textbook page 32 #14-40 even, #48-58 Textbook page 32 #14-40 even, #48-58 eveneven