7BOBO-ޘdHHHHHH-݄H-ݠ-l 6 - -Z(`@xHH(FG(HH(d'@-  - - l /*A*| H-d-ݐ*| <| ?-@-\9v > -!4 SDSETt---ݰj,hj,h j,h j-78op]^%&RS12klmn-.t}~  QR  rsFGyzUcdz{ 3 E F ? @   Y 5 6 [ \ ~   PQcde|}de*+,-.u( 8    6 2-`-- --ݸREADING GUIDE UNIT 11 USING SIGNED NUMBERS AND VECTORS 1. Every number has a certain size or _______________. 2. Numbers that represent a negative situation are called _______________ numbers. 3. When you see a minus sign (-) between two numbers, as in 5 - 3, you read the situation as _______________ _______________ _______________. The minus sign tells you _______________ to do. 4. When you write a minus sign (-) before one number, as in -6, you read the situation as _______________ _______________. The minus sign tells you what _______________ of number the six is. 5. Positive and negative numbers are called _______________ _______________. 6. Arrows - or directed line segments - are called _______________. 7. Each vector has a given _______________ and a given _______________. 8. Draw a number line with the numbers 0, 1, 2, 3 and 4. 9. When you write a plus (+) between two numbers. The plus sign tells you _______________ to do. 10. If a number does not have a sign in front of it to show whether it is a positive or negative number, you can always assume that it is a _______________ number. 11. Draw a number line with the numbers -4,-3, -2, -1, 0, 1, 2, 3, 4. 12. The numbers to the right of the zero are _______________ numbers. 13. The numbers to the left of the zero are _______________ numbers. 14. _______________ is the dividing point between the positive and negative numbers. 15. _______________ is the only number of the number line that is neither positive nor negative. 16. On a number line, the numbers to the _______________ are greater than the numbers to the left. 17. The symbol > means _______________ _______________ or larger than. 18. The distance of a number from zero (ignoring direction - right or left) is called the _______________ _______________ of the number. 19. The symbols ___ ___ mean the absolute value. 20. Absolute value reads as the distance of the number from _______________. 21. +10 and -10 have the _______________ absolute value. 22. A number is greater in value when it is further to the _______________ on the number line. 23. Which is greater? -20 _____ -30 |-30| _____ |-20| 24. When two numbers are the same distance from _______________ on a number line (ignoring direction), then the numbers have the _______________ absolute value. 25. When two negative numbers are added together, the result is always a _______________ number. 26. To add two or more negative numbers, add the _______________ _______________ of the numbers and then write the total with a negative sign. 27. The minus sign can be read as _______________ _______________ _______________. 28. The opposite of any negative number is the _______________ number with the same _______________ value. 29. You can rewrite the subtraction of a _______________ number as the addition of a _______________ number with the same _______________ value. 30. Rewrite the following problems: 7 - (-4) = 7 + _____ = 12 - (-56) = 12 + _____ = GENERAL RULE FOR ADDING TWO NUMBERS WITH DIFFERENT SIGNS 31. First decide which number has the _______________ absolute value. The answer will have the same _______________ as the number with the greater absolute value. 32. Second, find the _______________ of their absolute values and write this difference with the correct sign attached. 33. Solve the following problems: -7 + 4 = _____ -7 - 3 = _____ -7 + (-3) = _____ 34. When two positive numbers are multiplied, the answer is always _______________. 35. When two negative numbers are multiplied, the answer is always _______________. 36. When a negative number and a positive number are multiplied, the answer is always _______________. 37. In dividing two signed numbers, the answer is _______________ if the numbers have the same sign. The answer is _______________if the numbers have different signs. 38. The way the arrow points tells you the _______________ of the vector. The length of the arrow tells you the _______________ of the vector. 39. To know the size, you must have a _______________ to show the size of a unit. 40. The _______________ _______________ of a vector is its size or magnitude - equal to the _______________ of the arrow that represents the vector. 41. Label the tail and head of this vector. 42. A _______________ _______________ show the combined effect of two seperate forces. DSET(H-ݼ8  / 6*8DSET(H+h-ݴ8y8jzj6*8DSETR -݀-|-   -Unit 11 reading guideDSETR@-ݘ--h   -L