integers_distance and absolute value (1).ppt
- 1. INTEGERS
- 2. UNIT ESSENTIAL QUESTIONS •What are integers? •When do we work with integers in the real world? •What situations can be represented with integers? •How do we add and subtract integers?
- 4. INTEGERS •Whole numbers and their opposites are integers such as 6 and -6. •Zero is not positive or negative but is an integer. 0 6 -6 Opposites What do you notice about the opposite pairs?
- 5. Positive number – a number greater than zero. 0 1 2 3 4 5 6
- 6. Negative number- a number less than zero. 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
- 7. NEGATIVE NUMBERS CAN BE USED TO MEASURE TEMPERATU RES BELOW ZERO.
- 10. Examples of words that can be used to represent positive and negative situations. Can you think of other words used in real life to represent a positive or negative situation?
- 12. THE INTEGER TO THE RIGHT ON THE NUMBER LINE IS ALWAYS LARGER. -2 > -17 Comparing itegers Greater than 0 < 22 Less than -247 > -400 Greater than
- 15. 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 What is the opposite of 0?
- 16. 0 6 -6 Opposites What do you notice about the location of the opposite pair of integers?
- 17. CLASS DISCUSSION •What is distance? •What kind of numbers are used to show distance? DISTANCE
- 19. ABSOLUTE VALUE The distance a number is from zero on the number line. Absolute value is always positive. The symbol for absolute value is -4 Absolute value does not equal opposite. 4
- 21. QUESTION? If |x| = 3, what is the value of x?
- 22. ANSWER -3 or 3
- 23. Y O U R T U R N
- 24. DISTANCE ON A NUMBER LINE • How can you find the distance between two numbers on a number line? Practice https://schoolyourself.org/learn/algebra/dis tance-1d
- 25. TO FIND THE DISTANCE BETWEEN ANY TWO NUMBERS ON THE SAME SIDE OF ZERO YOU NEED TO SUBTRACT THE TWO NUMBERS ABSOLUTE VALUE. EXAMPLES: DISTANCE BETWEEN -5 AND -12 IS 7 DISTANCE BETWEEN 20 AND 38 IS 18 TO FIND THE DISTANCE BETWEEN ANY TWO NUMBERS ON OPPOSITE SIDES OF ZERO YOU NEED TO ADD THE TWO NUMBERS ABSOLUTE VALUE. EXAMPLES: DISTANCE BETWEEN -12 AND 4 IS 16 DISTANCE BETWEEN -21 AND -4 IS 25
- 26. WORKBOOK VOLUME 1 (additive inverse) p. 193 (e, f, g) p. 194 (1-8) p. 195 (1-11) p. 223-224 (distance on a number line)