Name: ______
Math 7A
Unit #1 - The Number System
Chapter #1A – INTEGERS
Unit 1A Goals:
Established Goals:
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and
subtract rational numbers (INTEGERS); represent addition and subtraction on a
horizontal or vertical number line diagram.
7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions
to multiply and divide rational numbers (INTEGERS).
7.NS.3 Solve real-world and mathematical problems involving the four operations with
rational numbers. (Integers)
Student self-assessment checklist:
1) I understand the difference between Counting #’s, Whole #’s and Integers.
2) I can apply the commutative, associative, identity and inverse properties to perform
calculations with integers.
3) I can add, subtract, multiply and divide integers.
4) I can solve real world problems involving integer operations.
AIM: SWBAT distinguish between sets of numbers.
Sets of Numbers:
Rational Numbers
Integers
Whole Numbers
Counting Numbers
All Counting Numbers are also ______, ______&
______.
All Whole Numbers are also ______and ______.
All Integers are also ______.
Answer each question with yes or no and explain your reasoning.
Are all Whole Numbers Counting Numbers? ______
Are all Integers Whole Numbers? ______
Are all Integers Counting Numbers? ______
Are all Rational Numbers Integers? ______
Place each number in ALL the sets it belongs to.
-70.251204
Rational Numbers
Integers
Whole Numbers
Counting Numbers
Answer each question with…ALWAYSSOMETIMES NEVER
1) Whole Numbers are Integers.ASN
2) Counting Numbers are RationalAS N
3) Rational Numbers are Whole NumbersASN
4) Integers are Counting NumbersASN
5) Whole Numbers are RationalASN
HOMEWORK – SETS OF NUMBERS
**Use the chart we made in class to help you answer these questions!**
Answer the following with….SOMETIMESALWAYSNEVER
1) Counting Numbers are Whole Numbers.SAN
2) Whole Numbers are Counting Numbers.SAN
3) Counting Numbers are Integers.SAN
4) Integers are Counting Numbers.SAN
5) Counting Numbers are Rational..SAN
6) Whole Numbers are Integers.SAN
7) Integers are Rational Numbers.SAN
8) Rational Numbers are Whole Numbers.SAN
9) Whole Numbers are Rational.SAN
10) Rational Numbers are Counting Numbers.SAN
State ALL of the sets of numbers that each of the following belongs to:
RationalIntegerWhole Natural
11) 0______
12) -5 ______
13) ______
14) 2.56 ______
15) 20 ______
16) -______
17) 0.______
AIM: SWBAT compare & order integers and find the absolute value of an integer.
DO NOW:
Sets Of Numbers
Counting Numbers Whole Numbers Integers
1, 2, 3, 4, … 0, 1, 2, 3, 4, … …,-4,-3,-2,-1, 0, 1, 2, 3, 4, …
Counting Numbers - are the Natural Numbers 1, 2, 3, 4 …
Whole Numbers - all the Counting Numbers AND zero
Integers - all the Whole Numbers AND their opposites
1) All Counting Numbers are also ______and ______
2) All Whole Numbers are also ______.
3) Are all Whole Numbers Counting Numbers? ______
4) Are all Integers Whole Numbers? ______
5) Are all Integers Counting Numbers? ______
CLASSWORK:
Opposite Numbers: are the same distance from zero on a number line in opposite directions.
For example 5 and -5 are opposites.
______is a special integer because it is neither positive nor negative.
Why is zero an integer? ______
Comparing Integers : and
The number farther right on the number line is the larger number.
______
36 12 “36 is greater than 12” 15 29 “15 is less than 29”
Compare using or <.
1) 15 _____ 25 2) 92 _____ 63 3) 0 _____ 124) -3 _____ 1
5) -5 _____ 0 6) -5 _____ -18 7) -12 _____ 128) -2 _____ -5
Ordering Integers:
Order from least to greatest.
9) -5, -9, 0, -3 ______10) -2, 7, -5, -1 ______
**The three questions most often missed about Integers**
1) Name a number that is not an integer? ______
2) Name the largest negative integer. ______
3) Name the smallest positive integer. ______
Absolute Valuemeasures the ______a number is from zero on the number line.
Distance is always POSITIVE, therefore, Absolute Value is ALWAYS______.
The symbol for absolute value is “| |.”
|4| “ What is the absolute value of 4?” |4| = ______
|-4| “What is the absolute value of -4?” |-4| = ______
True or False
-4 = 4 ______|-4| = |4| ______
**Absolute value bars are evaluated like parenthesis. Do whatever is inside the bars first, and then find the absolute value.
Examples:|-4| + |5| |0 + -2|
4 + 5 |-2|
9 2
1) |16| + |-16| 2) |-24 + 0| 3) |12| + |-7| 4) |-20| + |-9|
The negative symbol “- “ means opposite. For example the “opposite of 4” is -4.
Simplify the expression. (Start from the inside and work it out)
5) - (-4) _____ 6) - (- (-4)) _____ 7) - [- (- (-4))] _____
8) -|-4| _____ 9) - (- |-4|) _____ 10) --- |-4| _____
HOMEWORK – INTRODUCTION TO INTEGERS
Order the integers from least to greatest:
1) 17, -16, -8, 7, 2,2) -16, -24, 25, 11, -56, -136
______
3) -5, -1, 4, 6, -10, 04) 8, -15, 17, -39, 73,
______
First write the OPPOSITE and then write the ABSOLUTE VALUE of each integer:
5) 7______6) -25______
7) 106______8) -241______
Complete the Statement with or .
9) -6 _____ 410) -2 _____ -411) 0 _____ 8
12) -11 _____ -313) 31 _____ -1614) -24 _____ -28
Match the integer expression with the verbal expression:
_____ 15) -|12|A) the opposite of negative twelve
_____ 16) |-12|B) the absolute value of twelve
_____ 17)- (-12)C) the opposite of the absolute value of twelve
_____ 18) |12|D) the absolute value of negative twelve
Simplify the expression.
19) |-15|20) - (-9)21) |-16|
22) -|-16|23) - (-|49|)24) - (- (-34))
The table below shows the distances of the runners from the finish line when the winner won the race. Use the table to answer Questions 25 – 27.
Runner / Distance (ft)Sarah / -16
Beth / -2
Juanita / 0
Tamika / -9
Ingrid / -36
25) Who won the race? ______
26) Who finished further back, Sarah or Tamika? ______
27) Arrange the girls’ names in order from first-place to last-place finish.
______
1st Place 2nd Place 3rd Place 4th Place 5th Place
28) Name a number that is not an integer. ______
29) Name the largest negative integer. ______
30) Name the smallest positive integer. ______
31) State the first 5 Counting Numbers ______
32) Whole Numbers are all the ______and ______.
33) Integers are all the ______and ______.
34) All Counting Numbers are also ______and ______.
35) All Whole Numbers are also ______.
36) Are all Whole Numbers Counting Numbers? ______
37) Are all Integers Whole Numbers? ______
AIM: SWBAT identify properties of addition and multiplication and begin adding integers.
DO NOW:
Write the opposite of each integer.
1) 3 ______2) -5 ______3) -7 ______4) 9 ______
Evaluate.
5) |-12| ______6) |9| ______7) |-2| ______8) |-12| + |-1| __
Compare using or .
9)8 _____ -610)-7 _____ -411)-9 _____ 512)7 _____ 2
Order from least to greatest.
13)-1, -6, 0, -3, -5______
14)-18, -20, -15, -17______
Properties of Addition and Multiplication
1) Commutative Property of Addition and Multiplication: (Commutative,x; Commutative,+)
Changing the order of the numbers without changing the answer. (#’s commute)
Examples: A) 2 + 3 = 3 + 2B) 4(5) = 5(4)
2) Associative Property of Addition and Multiplication: (Associative,x; Associative,+)
Moving the grouping symbols without changing the answer.
Examples: A) 6 + (2 + 3) = (6 + 2) + 3B) 7(4 ● 6) = (7 ● 4)6
3) Additive Identity Property: (Identity, +) Identity of # does not change
Any number plus zero equals that number. *The identity element of addition is zero.
Examples: A) 9 + 0 = 9 B) x + 0 = x
4) Multiplicative Identity Property: (Identity, x) Identity of # does not change
Any number times one is that number. * The identity element of multiplication is one.
Examples: A) 4 ● 1 = 4 B) x ● 1 = x
5) Additive Inverse Property: (Inverse, +)
For every number, a, a + -a = 0. *Remember: Zero is the identity element
Examples: A) 9 + -9 = 0 B) -x + x = 0
6) Multiplicative Inverse Property: (Inverse, x)
For every number, a, a ● = 0*Remember: One is the identity element
Examples: A) 4 ● = 1 B) x ● = 1
7) Multiplicative Property of Zero: (Zero, x) (Everything becomes zero)
Any number times zero is zero
Examples: A) 10 ● 0 = 0 B) x ● 0 = 0
Name the property for each of the following:
1) (13 + 7) + 8 = 13 + (7 + 8)______
2) 0 ● (x + 3) = 0______
3) 9 ● 5 = 5 ● 9______
4) (62 + 3) + 0 = (62 + 3)______
5) (19 + 8) + 6 = (8 + 19 ) + 6______
6) (2 ● 3) ● 7 = 2 ● (3 ● 7) ______
7) 56 ● 1 = 56______
8) 7 ● = 1______
9) -6 + (3 ● 8) = -6 + (8 ● 3)______
10) -15 + 15 = 0______
Adding/Subtracting Integers
Adding integers means adding with both positive and negative numbers (the whole numbers and their opposites). There is an important fact to remember when adding integers…
●“positive 1” (+1) and “negative 1” (-1) are opposites so . . . -1 + 1 = 0, meaning opposites cancel each other out
We’re going to use Integer Chips to investigate the rules of Adding/Subtracting Integers.
will represent positive numbers
will represent negative numbers
2 + 2-1 + -2-5 + 2-1 + 4
What rules can we come up with after using the Integer Chips:
Same Signs - ______Different Signs - ______
Evaluate:
1
-2 + 2 = ______
-4 + 0 = ______
-5 + 5 = ______
1
1
-2 + 5 = ______
-5 + 2 = ______
-2 + -5 = ______
1
1
-2 + 3 = ______
2 + -3 = ______
-2 + -3 = ______
1
1
-6 + 1 = ______
-1 + 6 = ______
-6 + -1 = ______
1
HOMEWORK – PROPERTIES & INTRO TO ADDING INTEGERS
State the name of the property that is shown.
1) (x + 9) + 1 = x + (9 + 1)1) ______
2) 1 x = x2) ______
3) (12 + 9) + 15 = (9 + 12) + 153) ______
4) 12 ● (7 ● 15) = (12 ● 7) ● 154) ______
5) 0 + (9 + 1) = 9 + 15) ______
6) r ● 1 = r 6) ______
7) 106 ● 0 = 0 7) ______
8) -y + y = 0 8) ______
9) (2 + y) + 8 = 8 + (2 + y) 9) ______
10) c ● = 1 10) ______
Evaluate.
11) -4 + 4 = ______12) -4 + -3 = ______13) -4 + 3 = ______
14) 4 + -3 = ______15) -5 + 8 = ______16) -1 + 7 = ______
17) -9 + 3 = ______18) -10 + 4 = ______19) -2 + -8 = ______
AIM: SWBAT add and subtract integers.
DO NOW:
1
Evaluate.
1) -8 + 2 = ______
2) -10 + 5 = ______
3) -6 + 6 = ______
1
4) -3 + 9 = ______
5) 7 + -2 = ______
6) -10 + 0 = ______
1
ADDING & SUBTRACTING INTEGERS
I) Get rid of DOUBLE SIGNS first!
- + - becomes a NEGATIVE (so 7 + -3 becomes 7 – 3)
- - - becomes a POSITIVE (so 6 - -3 becomes 6 + 3)
II) BOX YOUR TERMS!
** The sign IN FRONT of the number goes with the number **
III) When COMBINING INTEGERS with the SAME signs
⇒ADD the numbers and KEEP the same sign.
Examples:
A) 12 + 416
*Basic Addition – adding two positive numbers* / B) –12 + –4
–12 – 4 (get rid of double signs)
–12 – 4 (box terms)
–16 (Same Signs Add & Keep)
C) 25 – (–16)
25 + 16 (get rid of double signs)
= 41
*Basic Addition – adding two positive numbers* / D) –25 + – 16
–25 –16 (get rid of double signs)
–25 – 16 (box terms)
–41 (Same Signs Add & Keep)
IV) When COMBINING INTEGERS with DIFFERENT signs
IGNORE the signs and SUBTRACT numbers. Keep the sign of whatever you have more of
Subtract the absolute values. Keep the sign of the number with the largest absolute value.
⇒SUBTRACT and THINK
A) 12 + –812 – 8 (get rid of double signs)
12 –8 (box terms)
4 (Different Signs Subt. & Think)
*There are more positives, so the answer
is positive* / B) –37 + 16
–37 + 16 (box terms)
–21 (Different Signs Subt. & Think)
*There are more negatives, so the answer
is negative*
Same Signs ⇒ ______Different Signs ⇒ ______
1) 12 + 202) -12 + -203) -12 + 20
4) 12 + -205) -225 + 1256) -225 + -125
7) 20 + -10 + 5 8) -15 + 7 + 89) -14 + -15 + -26
10) 14 + (-8)11) -27 + -1812) -12 + 5
13) -3 + 12 + -1414) -15 + -7 + -13 15) 7 + -2 + 14 + -8
HOMEWORK – ADDING/SUBTRACTING INTEGERS
Evaluate.
Same Signs - ______Different Signs - ______
1) 2 + 232) -27 + -303) -28 + 64) 25 + -30
5) -500 + 1006) -350 + -1257) -75 + - 118) -90 + 90
9) 50 + -10 + 810) -18 + 10 + 811) -79 + 812) -52 + -5
13) -42 + -814) -80 + 1415) 79 + -116) -32 + 5
Complete the statement using always, sometimes, or never.
17) The sum of two positive integers is ______zero.
18) The sum of zero and a positive integer is ______zero.
19) The sum of zero and a negative integer is ______zero.
20) The sum of a positive integer and a negative integer is ______zero.
21) Name the first 5 Counting Numbers ______
22) Whole Numbers are all the ______and ______.
23) Integers are all the ______and ______.
24) Name a number that is not an integer? ______
25) Name the largest negative integer. ______
26) Name the smallest positive integer. ______
27) Are all Counting Numbers Whole Numbers? ______
28) Are all Integers Whole Numbers? ______
AIM: SWBAT continue to add and subtract integers.
DO NOW:
State the property that is shown.
1) (2 + 7) + 10 = 2 + (7 + 10) ______
2) 5x● 1 = 5x ______
3) (5 + 8) + 12 = (8 + 5) + 12 ______
4) 700 + 0 = 700 ______
5) -75 + 75 = 0 ______
6) 8y ● 0 = 0 ______
CLASSWORK:
Additive Inverse Property - For every number, a, a +-a = 0
State the additive inverse of each of the following. Additive inverse ⇒ ______
1) -2 ______2) 14 ______3) -4x ______4) -18mn ______5) -24 ______
ADDING & SUBTRACTING INTEGERS
I) Get rid of DOUBLE SIGNS first!
- + - becomes a NEGATIVE
- - - becomes a POSITIVE
II) BOX YOUR TERMS!
** The sign IN FRONT of the number goes with the number **
III) When COMBINING INTEGERS with the SAME signs
⇒ADD the numbers and KEEP the same sign.
IV) When COMBINING INTEGERS with DIFFERENT signs
IGNORE the signs and SUBTRACT numbers. Keep the sign of whatever you have more of
Subtract the absolute values. Keep the sign of the number with the largest absolute value.
⇒SUBTRACT and THINK
Ex: 7 – 4 -7 – 4
(Diff signs → Subt/Think) (Same signs → Add/Keep)
3 -11
BEWARE OF DOUBLE NEGATIVES!!!! Remember (-) means opposite so –(-4) = +4
DOUBLE NEGATIVES-ADDDOUBLE (Diff) SIGNS - SUBTRACT
Example: 8 --4Example: 8 + -4
8 + 4 8 - 4
= 12 = 4
Compute. Be sure to box off your terms.
Same signs ⇒ ______Different signs ⇒ ______
1) 7 + - 132) -8 - 53) -17 - 94) 9 --2
5) 27 + -196) 5 - 87) 0 --148) -21 - (-14)
9) -5 - 310) -6 --811) 7 - 1312) -13 --18
13) -18 --1814) -70 + -1815) -575 - (-600)16) 90 --60
17) 4 + -12 + -1818) 8 + -10 + -1919) 7 + -11 + 3220) 25 + -4 + 32
21) -38 + -19 + -3 22) (-41) + (-78) + 51 23) -39 + 25 + -1224) -31 + 31 + 45
HOMEWORK – ADDING/SUBTRACTING INTEGERS
1) What is the additive inverse of 19? ______
2) What is the opposite of -24? ______
3) How many numbers have an absolute value of 12? ______List them. ______
4) The counting numbers are ______.
5) The whole numbers are ALL the ______and ______.
6) The integers are ALL the ______and their ______.
For 7-12 state whether each of the following is TRUE or FALSE.
7) One-half is NOT an integer. ______
8) If x is a positive integer, then x 0 ______
9) If x is a negative integer, then x 0 ______
10) All whole numbers are integers? ______
11) All integers are whole numbers? ______
12) Zero is a positive integer. ______
Simplify each expression.
REMEMBER – BOX OFF YOUR TERMS AND FOLLOW THE RULES.
BEWARE OF DOUBLE NEGATIVES!
Same signs ⇒ ______Different signs ⇒ ______
13) -21 + 7 14) -29 + -15 15) -20 + 8 + 22 + -10
16) 5 + (-7)17) 65 - 72 18) -85 --42
19) -32 - 74 20) –15 + 2121) -39 + 25
22) -2 - 3 + 6 - 9 23) 47 + -15 + 8 - 1024) -50 - 10 – 20 + 100
AIM: SWBAT to apply their knowledge of integer rules to real world situations.
DO NOW:
Tell whether the sum of the two integers is always, sometimes or never positive.
1) two negative integers ______
2) a positive integer and a negative integer ______
3) two positive integers ______
4) a positive integer and zero ______
5) a negative integer and zero ______
CLASSWORK:
Write an integer for each situation.
1) a bank deposit of $250 ______2) a loss of 12 pounds ______
3) 7below zero______4) a gain of 6 yards ______
5) 78 m below sea level ______6) a bank withdrawal of $50 ______
7) a loss of 3 yards ______8) a gain of 5 hours ______
Read each problem carefully, write a number sentence and solve.
9) The temperature one morning in Juneau, Alaska was –12oF. By the afternoon, the
temperature had risen 8oF. What was the temperature in the afternoon?
10) If the high temperature for the day was 19oF and the low temperature was -5oF, what was
the change in temperature?
11) Your bank account currently has a balance of -$480. You make a deposit of $350. What is
your new account balance?
12) A submarine is 250 meters below sea level. The submarine then rises 175 meters. What is
the new position of the submarine?
13) If the deepest point in the area is 37,800 feet below sea level and the highest mountaintop
is 29,012 feet above sea level, find the difference in these elevations.
14) You enter an elevator on the eighth floor. The elevator goes up 5 floors and then down 7
floors, where you exit. On what floor did you exit the elevator?
15) At 5 P.M. the temperature read 10oabove zero. At midnight it read 4obelow zero. Find the
change in temperature.
16) A whale that is 660 feet below sea level rises up out of the water to a height of 32
feet above sea level. How far up did the whale travel?
Write an addition expression to describe each situation, then find the sum and explain its meaning.
17) A quarterback is sacked for a loss of 7 yards. On the next play, his team loses 13 yards.
Then the team gains 9 yards on the third play.
18) A seagull starts at 70 feet above sea level. It descends 70 feet to catch a fish.
HOMEWORK – ADDING INTEGERS
Compute.
Same Signs: ______Different Signs:______
1) 9 + –72) (–17) + 23) –11 + –184) 67 + (–43)
5) –6 + 6 + –146) –15 + 8 + (–7)7) –21 + (–25) + (–35)8) –16 + 7 + 19
Read each problem carefully, write a number sentence and solve.
9) At night the average temperature on the surface of the planet Saturn is –150oC. During the
day the temperature rises 27 oC. What is the average temperature on Saturn’s surface
during the day?
10) To get a first down, a football team must gain 10 yards in 4 plays. If the team gained 5
yards on the first play, lost 7 yards on the second play, and gained 8 yards on the third
play. How many yards must they gain on the fourth play to get a first down?
11) A balloon rises 200 feet from the ground, drops 150 feet, and then rises 300 feet. What is
the new height of the balloon?
12) A scuba diver is 85 feet below sea level. The diver rises 12 feet then descends 60 feet.
How far below sea level is the diver?
AIM: SWBAT apply their knowledge of integer rules to real world situations.
Read each problem carefully, write a number sentence and solve.
1) The temperature outside was 20oF. The wind chill made it feel like -15oF. Find the
difference between the real temperature and the apparent temperature.
2) Carly has $50 in a bank account. She writes a check for $75 from the account. What is the
new balance in Carly’s bank account?
3) The highest temperature ever recorded on Earth is 136oF and the lowest temperature
recorded is -129oF. What is the range (difference) of temperatures on Earth?
4) The Panthers lost 5 yards on their first play and lost another 7 yards on their next play.
What was their net result in yards after these two plays?
5) A submarine at -28 feet dives 70 feet. What is the submarine’s position after the dive?
6) Ms. Smith is on a diet. The first week she lost 1 pound, second week lost 3 pounds, third
week gained 1 pound and fourth week lost 4 pounds. What was her net gain or loss?
HOMEWORK – INTEGER APPLICATIONS
Evaluate.
1) -5 + 32) 51 - (-11)3) -18 - (-18)4) -29 + 32
5) -13 - (-18)6) 7 - 257) – 6 + 88) -11 - 9
Read each problem carefully, write a subtraction number sentence and solve.
9) The record low temperature for Albany, NY was -28oF. The lowest temperature in U.S.
history is 52oF lower than Albany’s record low. What is the lowest temperature in U.S.
history?
10) During the day the moon can reach a high temperature of 265oF. At night, the temperature
can reach a low of -170oF. What is the difference between the high temperature and low
temperature on the moon?
11) Are the expressions x - y and y - x always opposites? Explain your reasoning.
12) Carl had $200 in his checking account. He wrote 3 checks, one for $57 and another for
$103. He did not record the amount of the third check. Carl received a statement stating
that he overdrew his account (meaning he took out more money than he had) by $55. What
was the amount of the third check that Carl wrote?
AIM: SWBAT multiply and divide integers.
DO NOW:
Read each word problem carefully, write a number sentence and evaluate. Your final answer must be in a complete sentence.
1) A person goes from a sauna at 115F to an outside temperature of -30F. What is the
change in temperature?
2) A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters.
What is the submarine’s new position?
3) The table shows the temperatures and wind-chill temperatures in three towns.
Town / Actual Temperature / Wind-Chill TemperatureEaston / -3F / -13F
Pine Hills / 10F / -10F
West Falls / 2F / -17F
Which town had the GREATEST difference between the actual temperature and the wind-chill temperature?
Evaluate:
4) -9 + -225) - 6 -- 186) 34 + - 307) 25 -- 25
8) Whenever you have double signs that are + - you change it into a ______sign.
9) Whenever you have double signs that are - - you change it into a ______sign.
CLASSWORK:
When MULTIPLYING and DIVIDINGTWO integers with:
I) TWOSAMESIGNS your answer will be POSITIVE.
Ex: 5 ● 4 = 20 AND-5 ●-4 = 2018 ÷ 3 = 6 AND-18 ÷-3 = 6
II) TWODIFFERENTSIGNS your answer will be NEGATIVE.
Ex: -9 ● 2 = -18 AND 9 ●-2 = -18-18 ÷ 9 = -2 AND 18 ÷-9 = -2
You can also use the diagram below to help you choose your sign . . .
Cover the two signs you have, the sign that is remaining is the sign of your answer.
+
- -
Evaluate.
1)(-10)(-5)2)(12)(4) 3)(-4)(2)4)7(-9)
5)(100)(-7)6)(-6)(13)7)-9(-11)8)(-15)(7)
9)10)62 ÷ 2 11)12)-90 ÷-15
13)-51 ÷ 314)15)-120 ÷ 616)
17)-9 -818)-360 ÷ 6019) -8 020)
BEWARE OF MULTIPLYING MORE THAN 2 NUMBERS!!!!!
1) -1 ●-1 ●-12) -1 ●-1 ●-1 ●-13) -1 ●-1 ●-1 ●-1 ●-1
When multiplying an ODD number of negatives your answer will be ______.
When multiplying an EVEN number of negatives your answer will be ______.
(-2)9 will be ______(-2)100 will be ______(-2)203 will be ______
4) (-6)(-2)(3)(4)5) (-8)(-6)(-2)6) (-4)(-2)(-5)(-10)
Evaluate the expression when x = -9, y = -7 and z = -3. (Replace the variable with the given value.)
7) xy8) -2yz9) xyz10)
Find the mean of the data: To find the mean of a set of data, you first add up all the numbers, and then divide your sum by the number of elements)
11) 8, 5, -4, 9, -3, 11, 2
HOMEWORK – MULTIPLYING & DIVIDING INTEGERS
Find the product or quotient.
Same Signs - ______Different Signs - ______