
Unit 3 Math
Presentation
•
Mathematics
•
7th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 22 Questions
1
Unit 3 Review
Lessons 11 - 14 Review
2
Lesson 11:
Understand Multiplication with Negative Integers
Multiplication is repeated addition: -4(3) = -4+(-4)+(-4)
Multiplication can be done in any order, known as the commutative property: -4(8) = 8(-4)
Any number multiplied by -1 is its opposite.
The product of two negative integers is positive.
The product of an even amount of negatives is positive: (-3)(-2)(-5)(-1) = 30
The product of an odd amount of negatives is negative. (-3)(-2)(5)(-1) = -30
3
Multiple Select
Which of the following have a value of -12?
-(4X3)
-2 X (-6)
12 X (-1)
-(-6X(-2))
0 X (-12)
4
Multiple Select
Which of the following has/have a POSITIVE value?
*Hint: Odd number of negatives results in a negative. Even number of negatives results in a positive.
(-3)(-15)(-7)(-32)
(−8)3
(6)(18)(-24)(3)
(−2)4
5
Lesson 12:
Multiply & Divide with Negative Numbers
Rational Numbers are numbers that can be expressed as a fraction where the denominator cannot be zero.
Strategies that work for multiplying & dividing positive rational numbers work for negative rational numbers: +(+)=+,+(-)=-, -(-)=+, -(+)=-
Fractions can be rewritten as quotients of two numbers where the numerator is divided by the denominator: 54=4÷5=0.8
6
Multiple Choice
Over a period of 3 21 hours, the height of the water in a harbor, relative to the pier, changes by -7.875 feet.
Does the average change in the height of the water each hour indicate that the water level is rising or falling?
The average change in the height of the water each hour is equal to ____ feet.
-3.5
-7.875
−7.875 ÷ 3.5
−7.875 ⋅ 3.5
7
Multiple Choice
Over a period of 3 21 hours, the height of the water in a harbor, relative to the pier, changes by -7.875 feet.
Does the average change in the height of the water each hour indicate that the water level is rising or falling?
The ____ average change in the height each hour means that the water level is ____ during this time period.
negative, rising
negative, falling
positive, rising
positive, falling
8
Multiple Select
Colton plays three rounds of a video game.
- On round 1, he scores -18 points.
- On round 2, he scores -2.75 times he score on round 1
- On round 3, he scores 3 32 times his score on round 1
Which of the following is/are true.
Colton's score for round 2 is 49 21 points.
Colton's combined score for round 1 and round 2 is less than his score on round 3.
Colton's score for round 3 is greater than his score for round 2.
The sum of Colton's score for all three rounds is a negative number.
9
Multiple Select
The product of two rational numbers, x and y, is a negative number.
Which of the following is/are false.
*Hint: Substitute values in for x and y to help.
x⋅(−y)=positive
x and y must be negative.
x÷y = negative
(−x)⋅(−y) = positive
10
Fill in the Blanks
Type answer...
11
Multiple Select
Which of the following expression(s) are true, where the value on the left equals the value on the right?
−52⋅1 41= 21
−52⋅95=−92
−52⋅−1 95 = 4528
12
Multiple Choice
A factory makes trash bags using plastic pellets. The plastic pellets are placed in barrels which are then poured into a machine.
When the machine is operating, the change to a barrel of pellets is -3.4 kg. per minute.
Each full barrel contains 20 kg of plastic pellets.
Are there enough pellets in a full barrel for the machine to make bags for 5 21 minutes?
When the machine has operated for 5 21 minutes, the change to the amount of plastic pellets in the barrel is ___ kg.
-3.4(5.1)
-3.4(5.5)
3.4(5.1)
3.4(5.5)
13
Multiple Choice
A factory makes trash bags using plastic pellets. The plastic pellets are placed in barrels which are then poured into a machine.When the machine is operating, the change to a barrel of pellets is -3.4 kg. per minute.Each full barrel contains 20 kg of plastic pellets.
Are there enough pellets in a full barrel for the machine to make bags for 5 21 minutes?
There ___ be enough pellets in a full barrel to make bags for 5 21 minutes.
will
will not
14
Multiple Choice
A factory makes trash bags using plastic pellets. The plastic pellets are placed in barrels which are then poured into a machine.
When the machine is operating, the change to a barrel of pellets is -3.4 kg. per minute.
Each full barrel contains 20 kg of plastic pellets.
Are there enough pellets in a full barrel for the machine to make bags for 5 21
minutes?
There will be enough pellets in a full barrel to make bags for 5 21 minutes because ____.
20+(-18.7)>0
20-(-17.34)>0
20+18.7>0
20+(-17.34)>0
15
Lesson 13:
Express Rational Numbers as Terminating or Repeating Decimals
Rational numbers can be expressed a fraction where the denominator cannot be 0 and has either terminating or repeating decimal expansion.
To determine whether a rational number is terminating or repeating, divide the numerator by the denominator. If the decimal repeats, use the repeating bar notation to represent the repeating decimal. If a decimal terminates, it is called a terminating decimal.
If a decimal neither terminates nor repeats, it is called an irrational number.
16
Multiple Choice
What is 10.3−(−8 53) as a fraction?
−18 109
18 109
−1 107
1 107
17
Multiple Choice
Elena divides to find the decimal form of 98 . Her work is shown. Elena says that 98 is a rational number cause the decimal form repeats.
Is Elena correct?
If Elena continues dividing, the remainder will ___.
eventually be 0
always b
change to numbers other than 8
18
Multiple Choice
Elena divides to find the decimal form of 98 . Her work is shown. Elena says that 98 is a rational number cause the decimal form repeats.
Is Elena correct?
The decimal form of 98 ___.
neither terminates nor repeats
terminates
repeats
19
Multiple Choice
Elena divides to find the decimal form of 98 . He work is shown. Elena says 98 is a rational number because the decimal form repeats.
Is Elena correct?
For a decimal to represent a rational number, it must ___, so Elena is ___.
either terminate or repeat, correct
either terminate or repeat, incorrect
neither terminate nor repeat, correct
neither terminate nor repeat, incorrect
always terminate, correct
20
Multiple Choice
Which shows the correct steps to express 241032 as a decimal?
21
Multiple Choice
Raj is making korma for a party. He puts 25 g of curry powder on a food scale. The food scale has marks every 0.1 g. To measure for each recipe, Raj removes 41 g of curry powder from the scale 7 times. He says the mass of the remaining curry powder is between 18.2 g and 18.3 g.
Is Raj correct?
22
Multiple Select
Which of the following fractions, when expressed as a decimal, is/are TERMINATING?
49
−67
185
−2017
23
Lesson 14:
Use the Four Operations with Negative Numbers
The ORDER OF OPERATIONS IS: Parentheses, Exponents, Multiply, Divide (left to right), Add, Subtract (left to right)
Apply strategies for positive & negative integers & rational numbers alike
Simplify expressions by applying propoerties of operations making calculations with positive and negative numbers simpler.
24
Multiple Choice
Which expression has a value LESS THAN 1?
−43⋅4+6
−43⋅(−8)+4
−43⋅(8−4)
−43⋅(4−6)
25
Multiple Choice
Lola has a balance of -$50 in her bank account. She deposits $6 into the account each week for 3 weeks. The fourth week, Lola withdraws $15.
What is the balance in Lola's bank account after the withdrawal in the fourth week?
-$83
-$53
-$47
-$17
26
Multiple Select
Consider the four rational numbers below.
The least possible sum is −5.2 + (−12 32)
The least possible difference is −5.2 − 9.9
The least possible product is −12 32⋅9.9
The least possible quotient is −12 32÷2 41
27
Multiple Select
The changes in Tia's wallet for five days are -%1.75, -$1.75, $2.50, $2.50, and -$1.75.
Determine whether each expression represents the mean change (average) in dollars, in Tia's wallet over the five days.
5(3(−1.75)+2(2.50))
5((−1.75)+2.50)
55((−1.75)+2.50)
5((−5.25)+5)
Unit 3 Review
Lessons 11 - 14 Review
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