Positive and Negative Numbers - Asheville City Schools正数与负数-阿什维尔市的学校.pptVIP

Aren’t integers interesting? Adding and Subtracting Integers! What You Will Learn Some definitions related to integers. Rules for adding and subtracting integers. Are you ready?? Definition Positive number – a number greater than zero. 0 1 2 3 4 5 6 Definition Negative number – a number less than zero. 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 Definition Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7 Definition Absolute Value – The size of a number with or without the negative sign. The absolute value of 9 or of –9 is 9. Negative Numbers Are Used to Measure Temperature Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50 Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank. Hint If you don’t see a negative or positive sign in front of a number it is positive. 9 + Integer Addition Rules Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14 Solve the Problems -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 = -8 -18 14 -13 7 11 Solve the Problems 1. 8 + 13 = 2. –22 + -11 = 3. 55 + 17 = 4. –14 + -35 = 21 -49 72 -33 Integer Addition Rules Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the one with the larger absolute value in front of your answer. -9 + +5 = 9 - 5 = 4 Larger abs. value Answer = - 4 Solve These Problems 3 + -5 = -4 + 7 = (+3) + (-4) = -6 + 7 = 5 + -9 = -9 + 9 = -2 5 – 3 = 2 0 -4 1 -1 3 9 – 9 = 0 9 – 5 = 4 7 – 6 = 1 4 – 3 = 1 7 – 4 = 3 S