Definitions
Integers are all of the positive numbers (greater than 0), negative numbers (less than 0), and zero.
What is the opposite of 4?
-4
Compare.
-10 and -2
The farther an integer is from 0, the _____ its absolute value.
If a number is _____, then the number is less than its absolute value.
Define inequality.
An inequality is a statement that two quantities are not equal.
Graph and label the following points on a number line.
-2, -8, 5
-8, -2, 5
-9 and 2
-9 < 2
Numbers with the same absolute value are ______.
Equally distant from zero
Which numbers are ordered from greatest to least?
A. 6, 4, 0, -1, -5
B. 6, -5, 4, -1 , 0
C. -5, -1, 0, 4, 6
A
Define opposites.
Two numbers are opposites if on a number line, they are the same distance from 0 but on different sides of 0.
I.e. 5 and -5
Name an integer that meets the following description.
the opposite of the opposite of -2
-2
List the numbers in order from least to greatest.
4, -6, 0, 8, -9, 1 and 3-9, -6, 0, 1, 3, 4, 8
Which is the absolute value of 9 and -9?
9
How would you use a number line to order integers from greatest to least?
A. Graph the absolute values, then read from left to right.
B. Graph the integers, then read from left to right.
C. Graph the integers, then read from right to left.
C. Graph the integers, then read from right to left.
Define absolute value.
The absolute value of a number is the number's distance from zero as a number line -- ALWAYS as a positive value.
What term describes 9 and -9?
opposites
NOT absolute value!
Compare the following:
-344 and -281
377 and 249
-344 < -281
377 > 249
Absolute value is always ______ or 0.
positive
The smaller the absolute value of a negative number, the ______ the number is.
A. smaller
B. largerC. farther from zero
B. larger
What does it mean for something to be ordered "greatest to least", and how would I read that on a number line?
Greatest (biggest value) to least (smallest value) and is read from right to left.
The average height of an American man is almost 5 feet 10 inches. The following numbers show how much taller or shorter the average 3 men are.
How tall is the shortest man?
Steve: 3 inches
Rob: -2 inches
Umberto: -7
Umberto at 5 feet and 3 inches
The symbol ___ means "less than" and the symbol ___ means "greater than.
The symbol < means less than and the symbol > means greater than.
Angelique says finding the absolute value of a number is the same as finding the opposite of a number.
Explain her error.
Angelique is only correct when working to find the absolute value of a negative number (for example, |-5|=5). However, when finding the absolute value of a positive number (i.e. |5|), it would not be the opposite because it stays the same.
Janet's scores for a game were:
-7, 5, -3, -6, 1, -1, and 2
Put them in order from least to greatest.
-7, -6, -3, -1, 1, 2, 5