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Integers
Absolute Value
Coordinate Planes
Number Lines
Opposites
100
Write an integer for this situation: A scuba diver rose from an elevation of -25 to -4.
+21
100
| 12 |
12
100
Which quadrant is represented by a negative x value and a positive y value? ( -x , y )
Quadrant II examples: ( -4, 5 ) ( -1 , 2 ) ( -6 , 4 )
100
The temperature is 37 degrees below 0. Make a list of 4 different lower temperatures.
Answers will vary - all numbers must be < -37. Possible answers: -38, -39, -50, -60, -100
100
The opposite of 6
-6
200
Terry lost 103 pounds
-103
200
| 0 |
0
200
How far apart are the following coordinates: ( -10, 6 ) ( -10, -10 )
16 units
200
The football team gained the following yards on 6 consecutive plays: -2 , 1 , -7 , -6 , 11 , -9 Write an integer to represent their total yards for those plays
-12 yards
200
The opposite of 1/4
- 1/4
300
If the temperature in Alabama is 41 degrees and the temperature at the south pole is -47 degrees, how much warmer is Alabama's temperature?
88 degrees warmer
300
What is the distance between these two coordinates? ( 3.5 , 1 ) and ( -7.5 , 1 )
11 units
300
A student draws a square on the coordinate plane. The first two corners are ( -3 , -4 ) and ( -7 , -4 ). What are the locations of the other two corners?
Two possible answers: ( -3 , -8 ) and ( -7 , -8 ) OR ( -3 , 0 ) and ( -7 , 0 )
300
67 + -71 - (-10) - 35
-29
300
What is the opposite of | -1/2 |
-1/2
400
The opposite of 21/20 is in between which two integers...
-2 and -1
400
Fix the following statement: The temperature is -20 degrees below 0
The temperature is 20 degrees below 0 OR The temperature is -20 degrees
400
The coordinates for the base of a triangle are ( 0, -2 ) and ( 4 , -2 ). The area of the triangle 9.5 units squared. Write down 3 possible ordered pairs for the location of the third corner.
All answers must be in the form of ( x , y ) x - can be literally any number y - must be 2.75
400
19 - ______ = 36
-17
400
What is the opposite of the following value: -18 + -2 - 8 - 9 + 12 - | 2 - 6 |
29
500
What is the difference between an integer and a rational number? Give 3 examples of each
Integers are the whole numbers and their opposites (ex: 2, 4, -5, 0, and -8 are all integers) Rational numbers include all integers, as well as fractions and decimals (ex: 1/4, -6/5, 4.4, -8, 3, 0 )
500
A student answers the following question: | 5 | = -5 Explain their error
The student confused absolute value with opposites. Absolute value is the distance away from 0 on a number line. Absolute value is never a negative number.
500
Calculate the area of this rectangle without writing anything down. ( 2, 4 ) ( -4 , 4 ) ( -4 , -1 ) ( 2 , -1 )
30 units squared
500
The following values are all in between which two opposite integers... 5/2 , -3.02, -9/4, -3.00001, 2.9, 0
-4 and 4
500
How do you know if two numbers are opposites? Are 3/2 and 2/3 opposites?
They are the same exact distance away from 0 on the number line. No, they are reciprocals. Reciprocals are two numbers that multiply to equal 1.