Integer Concepts
Opposites
Absolute Value
Inequality
Word Problems
100
What is the definition of Integer.
Any whole number or numbers.
100
Definition of Opposite in math
Same distance from zero on either side of the number line
100
Definition of Absolute Value
- Always positive
- Number of spaces from zero on the number line.
100
Definition of Inequality
Comparing integers using less than, greater than, or equal to
100
Uziel bought 5 apples at the store. What integer could represent this situation.
-5
200
Draw a number line counting by 10's that goes from -60 to 60.
I will check should be
-60, 50, 40, 30, 20, 10, 0 , 10, 20, 30,40,50,60
200
If point A is at -10 and the opposite is Point B, what is the value of Point B.
Point B= 10
200
Fill in the blanks.
The number -8 is ___ units from 0 on a number line, so l -8 l = _____
8, 8
200
Compare -60 and 90. Use <,>, or =
-60 < 90
200
How do you know that an elevation of -30 ft. is less than an elevation of 90 ft?
-30 is below 0 and 90 is above 0, so the elevation of -30 ft is lower than that of 90 ft.
300
An investment gains 5$ in value on one day. The next day it loses $3 in value. Represent each of these using integers.
$5 and -$3
300
Draw an accurate graph and plot the opposite of 65.
I will check. Plot should be at -65.
300
l -14 l + l 2 l =
16
300
Draw an accurate number line. Plot these numbers. Make an inequality.
65 and -20
I will check the number line. Inequality: 65 > -20
300
Henry made the following observation:
"Whenever I move down on a vertical number line the numbers get smaller."
Provide 3 examples that prove and explain whether or not Henry made a correct observation.
On a vertical number line 0 is below 4. 0 is less than 4 so that would be true.
-3 is less than 6 and -3 is below 6.
I will check answers.
400
Account balances for four students are shown: Who are the savers and who are the debtors?
Milahh = $40
Jayden = -$300
Amonni= $0
Leiam= $220
Demir= -$50
Mia= $0
Savers: Milahh and Leiam
Debtors: Demir and Jayden
400
Melissa recorded her balance in her account everyday of the week. Which of these values are opposites?
Mon: $50
Tuesday: $-10
Wednesday: $10
Thursday: $50
Friday: $-50
$50 and $-50
$10 and $-10
400
An inequality with absolute values is shown below.
l-4 l > l -6 l
Which statement about the inequality is correct?
A. The inequality is true because 4 is greater than 6.
B. The inequality is true because 4 is less than 6.
C. The inequality is false because 4 is less than 6.
D. The inequality is false because 4 is greater than 6.
C. The inequality is false because 4 is less than 6
400
This table shows the lowest recorded temperature of some of the tallest mountain peaks around the world.
Makalu : -23.4 * F
Broad Peak: -30.7 * F
Mount McKinley: -15.6 * F
Kilimanjaro: -26.1 * F
Place them in order from least to greatest.
-30.7, -26.1, -23.4, -15.6
400
The lowest temperature ever recorded in the U.S. was –79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what that temperature means?
A. It means the temperature was 79.8 °F more than one.
B. It means the temperature was 79.8 °F more than zero.
C. It means the temperature was 79.8 °F less than one.
D. It means the temperature was 79.8 °F less than zero.
D.
500
The table below shows the temperature, in degrees Fahrenheit, at 9:00 a.m. in Valley Stream over several days.
Anthony says that the temperature on Monday was higher than the temperature on Thursday because l-3l > l-1l . Is Anthony correct? Explain why or why not, and use Anthony's inequality to support your explanation.
No because -3 is a lower temperature compared to -1.
500
Is this statement true or false and WHY. Jesus said the opposite of 9 is 9 because 9 is 9 units from zero.
He is incorrect because the opposite of 9 is 9 units to the left so it would be -9.
500
What are the magnitudes of -60, 34, 50 , and -100?
magnitudes: 60, 34, 50, and 100.
500
Order these from least to greatest: 0.82,0.04,0.167,0.505
0.04, 0.167, 0.505, 0.82
500
Paul and George are both hiking in the park. They each began hiking at an elevation of 4 feet below sea level. After an hour of hiking, Paul has increased his elevation by 16 feet, and George is located at an elevation 9 feet below Paul's.
Enter George's current elevation.
_____ feet above sea level
3 feet above sea level