Integers
Give a complete definition of a positive number.
What is a number is a number that is greater than 0.
Define what an inequality is.
What is a statement that two quantities are not equal using > and <.
Define absolute value.
What is the numbers distance away from 0.
Explain how a number line shows that 7 and -7 are opposites.
What is 7 and -7 are the same amount of units away from 0.
Compare -15 and 21 using two inequalities < or >.
What is -15<21 and 21>-15.
What is the absolute value of l-25l?
What is 25
Disneyland is 850 feet below sea level. What number represents the elevation of Disneyland?
What is -850.
Arrange the list of numbers from greatest to least:
-150, 36, 79, -82, 45, 213
What is:
213, 79, 45, 36, -82, -150
Use absolute value to describe the relationship between a negative credit balance and the amount owed.
What is the amount owed is the absolute value of the balance.
What is the opposite of the opposite of the opposite of -50?
What is 50?
Golf scores represent the number of strokes above or below par. A negative score means that you hit a number below par while a positive number means that you hit a number above par. The winner in golf has the lowest score. During a round of golf, Janice's score was -10 and Matthew's score was -25. Who lost the game? Explain.
What is Janice lost the game because she had the highest score.
Julie's credit card balance is more than -$45. Does Julie owe more of less than $45?
What is Julie owes less than $45.
A number is q units to the right of 0 on the number line. Describe the location of its opposite.
What is the opposite of q units to the left of 0 on the number line.
There are three numbers f,g, and h, where f>g and g>h. Describe the positions of the numbers on a number line.
What is the f will be the number farthest to the right of the number line. The third number h will be the farthest to the left on the number line. The number g will be in the middle of f and h.
Bobby says that finding the absolute value of a number is the same as finding the opposite of the number. For example, l-10l = 10. Explain his error.
What is Bobby's technique only works if the original number is negative. The absolute value of a nonnegative number is equal to the number itself, not its opposites.