

Rational Numbers as Decimals
Presentation
•
Mathematics
•
7th Grade
•
Hard
Joseph Anderson
FREE Resource
23 Slides • 51 Questions
1
2
Use page 6 in your workbook to help you with the following questions.
3
Multiple Choice
A decimal that ends is a(n) _.
additive inverse
complex fraction
terminating decimal
repeating decimal
4
Multiple Choice
Two numbers that have a sum of 0 are _.
additive inverses
complex fractions
terminating decimals
repeating decimals
5
Multiple Choice
A _ is a fraction ba where a and/or b are fractions and b is not equal to 0.
additive inverse
complex fraction
terminating decimal
repeating decimal
6
Quick Review
Integers are the counting numbers, their opposties, and 0. Opposite integers are the same distance from 0 in opposite directions. Opposite quantities combine to make 0.
7
The descent of her climb is represented by -3. She has to climb 3 miles to return to her starting point.
A climber descends 3 miles into a canyon. What integer represents the descent of her climb? How far does she have to climb to return to her starting point?
8
Fill in the Blanks
On a cold winter morning, the temperature was -4 degrees Fahrenheit. By noon, the temperature increased 4 degrees. What was the temperature at noon
Type answer...
9
Fill in the Blanks
Audrey deposits $27 in her account. Then she makes two withdrawals, one for $15 and one for $12. What is the total change to the balance of Audrey's account?
Type answer...
10
Quick Review
All rational numbers have an equivalent decimal form. The decimal equivalent will be either a terminating decimal or a repeating decimal. A terminating decimal ends in repeating zeros. A repeating decimal has a never-ending pattern of the same digits.
11
12
Multiple Select
Which fractions have a decimal equivalent that is a repeating decimal. If possible, select all that apply.
6513
47141
1211
319
13
Fill in the Blanks
Greg bought 191611 gallons of gas. What decimal should the meter on the gas pump read?
14
15
Fill in the Blanks
119=
Type answer...
16
Fill in the Blanks
54=
Type answer...
17
Fill in the Blanks
−517=
Type answer...
18
Fill in the Blanks
95=
Type answer...
19
Quick Review
To add integers with the same sign, add the absolute value of each integer. The sign of the sum will be the same as the sign of the addends. To add integers with different signs, find the difference of the absolute value of each integer. The sign of the sum will be the same as the sign of the greater addend.
20
21
Fill in the Blanks
Jonah's cell phone came with 64 GB of membory. He has used 15 GB. He then uses 5 MB of memory to record photos and videos from a trip. Use the addition expression 64+(−15)+(−5) to find how much memory is left on his phone
22
Multiple Choice
Stella walks down a flight of stairs to the basement. Then she walks back up the stairs and up another flight of stairs to the second floor of her house. Each flight of stairs represents a change of 12 feet in height. How far is Stella above the ground?
0 ft
-12 ft
12 ft
24 ft
23
24
Multiple Choice
64+(−15)=
49
-49
79
-79
25
Multiple Choice
−121+(−34)=
155
-155
-87
87
26
Multiple Choice
−86+92=
178
-178
-6
6
27
Multiple Choice
109+(−162)=
-271
271
-53
53
28
Quick Review
To subtract integers, use the additive inverse to write an equivalent addition expression. Then follow the rules for addition. When the signs are the same, find the sum of the absolute values. When the signs are different, find the difference. Use the sign of the number with the greater absolute value.
29
30
Fill in the Blanks
The temperature is 1 degree Fahrenheit at dusk. It is 8 degrees colder at dawn. What is the temperature at dawn?
Type answer...
31
Fill in the Blanks
Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn. Nadim has remained in the same place. What integer represents Kyle's location relative to Nadim's location on the game board?
Type answer...
32
33
Multiple Choice
82−(−14)=
96
-96
68
-68
34
Multiple Choice
−18−(−55)=
-73
73
37
-37
35
Multiple Choice
−17−44=
-27
27
-61
61
36
Multiple Choice
70−(−101)=
171
-171
-31
31
37
Quick Review
Positive and negative rational numbers and decimals can be added and subtracted following the same rules as adding and subtracting integers.
38
39
Fill in the Blanks
Doug digs a hold that is 1.7 feet below ground level. He plants a bush that is 3102 feet tall from the bottom of the root to the top branch. How much of the bush is above the ground?
Type answer...
40
Fill in the Blanks
Penelope has a birdhouse that is 4109 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. What is the distance between the birdhouses?
Type answer...
41
42
Fill in the Blanks
−2.63+341=
43
Fill in the Blanks
−421−(−1.07)=
44
Fill in the Blanks
0.74+(−53)=
45
Fill in the Blanks
−81−0.356=
46
Quick Review
Multiply integers the same way you multiply whole numbers. If the signs of the factors are the same, the product is positive. If the signs of the factors are different, the product is negative.
47
Multiply integers the same way you multiply whole numbers. If the signs of the factors are the same, the product is positive. If the sign of the factors are different, the product is negative.
Lesson 1-6 Review
48
Fill in the Blanks
Marisa buys 4 books at $13 per book. What integer represents the total change in the amount of money Marisa has?
49
Multiple Select
Which expressions have a product of -18? If possible, select all that apply
−2⋅−9
−6⋅3
−3⋅6
−9⋅2
50
Fill in the Blanks
−7⋅−14=
Type answer...
51
Fill in the Blanks
9⋅−20=
Type answer...
52
Fill in the Blanks
−11⋅−16=
Type answer...
53
Fill in the Blanks
−15⋅12=
Type answer...
54
The same rules for multiplying integers apply to multiplying rational numbers. If the signs of the factors are the same, the product will be positive. If the signs of the factors are different, the product will be negative.
Lesson 1-7 Review
55
Fill in the Blanks
Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, what number represents the total change in the amount of money Jason has?
56
Fill in the Blanks
−232⋅−473=
Write your answer as an improper frraction.
57
Fill in the Blanks
−394⋅552=
Write your answer as an improper fraction.
58
Fill in the Blanks
632⋅−451=
Type answer...
59
Divide integers the same way you divide whole numbers. The quotient is positive if the signs of the dividend and divisor are the same. The quotient is negative if the signs of the dividend and divisor are different.
Lesson 1-8 Review
60
Multiple Select
Which expressions have a quotient of -4? If possible, select all that apply.
6−24
−36÷−9
−72÷18
−2184
61
Fill in the Blanks
Whitney rolls a ball down a ramp that is 18 feet long. If the ball rolls down 2 feet each second, what integer represents the amount of time, in seconds, the ball takes to reach the end of the ramp?
62
Fill in the Blanks
−981=
Type answer...
63
Fill in the Blanks
−123÷−4=
64
Fill in the Blanks
−494=
65
Fill in the Blanks
65÷(−5)=
Type answer...
66
The same rules for dividing integers apply to dividing all rational numbers. The quotient is positive when the numbers being divided have the same signs. The quotient is negative when the numbers being divided have different signs. Complex fractions have a fraction in the numerator, the denominator, or both. To divide a fraction, rewrite as multiplication by its multiplicative inverse, or reciprocal.
Lesson 1-9 Review
67
Fill in the Blanks
98÷−1154=
Use "/" to write your answer as a fraction.
Type answer...
68
Fill in the Blanks
−3.6÷271=
Write your answer as an improper fraction.
69
Fill in the Blanks
A boat drops an anchor 17.5 feet to the bottom of a lake. If the anchor falls at a rate of 0.07 feet each second, how long will it take the anchor to reach the bottom of the lake?
Type answer...
70
Quick Review
You can use rational numbers to solve problems in the same way that you use whole numbers. Be sure to make sense of the problem you are solving to help you choose the correct operations and determine which values will be positive and which will be negative.
71
Example
72
Fill in the Blanks
In 5 rounds of a game, Jill scored -3, 8, 9, -7, and 13. What integer represents her average score for the 5 rounds?
Type answer...
73
Fill in the Blanks
Peter signed up for a program that costs $10.50 per month to stream movies to his computer. He decided to cancel his service after 65 month. He only has to pay for the amount of time he used the service. What number represents the total change in the amount of money Peter has after paying for the service?
74
Fill in the Blanks
Maggie spent $4.05 on cheese and fruit at the farmer's market. She bought 81 pound of apples, 41 pound of pears, and 1.25 pounds of bananas. If fruit cost $0.80 per pound, how much did Maggie spend on cheese?
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