Ch 11.1 Integers + Absolute Value Course 1

11.1 Vocabulary 1 Positive Numbers: greater (>) than zero, sometimes written with a plus (+) sign. Positives show gains, increases, above, more Example: a $1 raise in allowance = +1 Negative Numbers: less (<) than zero, always written with a negative (-) or minus sign. Negatives show losses, decreases, below, less Example: losing a $5 bet = -5

11.1 Integer Vocabulary 2a Graph positives & negatives on a number line. Opposites: points on a number line the same distance from zero but on opposites sides of 0. Zero is its own opposite. Integers: a set or group of all whole numbers and their opposites (like -2, 0, 2, 5, or 124), with no fractions (like ½) or decimals (like 2.3).

11.1 Opposites Negative Integers Positive Integers -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Zero is neither negative nor positive. Absolute values are never negative. Opposite integers have same absolute value.

11.1 Absolute Value Vocabulary 2b Absolute Value: distance from 0 (number line). Its symbol is 2 vertical parallel lines like this l l. l -3 l = 3; This is read as “the absolute value of -3 equals 3”. This means that the distance from -3 to 0 on a number line is 3 steps away. l 3 l = 3; This is read as “the absolute value of 3 equals 3”, so +3 is also 3 steps away from zero. l 0 l = 0

11.1 Discuss Tell whether -3.2 is an integer. Why/why not? a. -3.2 is not a whole number Give the opposite of 14. The opposite of -11. a. Opposite of 14 is -14; opposite of -11 is 11. Name all integers with absolute value of 12. a. 12 and -12, so l 12 l = l -12 l = 12