Integers. Name: Class: Date: Matching

Transcription

1 Name: Class: Date: ID: A Integers Matching Match each of the following vocabular words with its definition. a. integer f. coordinates b. x-axis g. -coordinate c. -axis h. x-coordinate d. opposites i. absolute value e. origin 1. the point where the x-axis and -axis intersect on the coordinate plane 2. the distance of a number from zero on a number line: shown b 3. the second number in an ordered pair that tells the distance to move up or down from the origin 4. the set of whole numbers and their opposites. the horizontal axis on a coordinate plane 6. one of the numbers of an ordered pair that locate a point on a coordinate graph 7. two numbers that are an equal distance from zero on a number line Short Answer Name a positive or negative number to represent the situation. 8. an increase of 12 points in our math grade 9. a rise of 29 F in the temperature 10. spending $42 Graph each integer and its opposite on a number line Use the number line to find the absolute value of the integer Use the number line to find the comparison that is true Order the integers 4, 9,, and from least to greatest, and then plot each of them on a number line. 1

2 Name: ID: A 1. The four best scores from an amateur golf tournament sponsored b a local golf club are given in the table below. Since the lowest score wins, which golfer won the tournament? Plaer Score Mr. Benitez 2 Mr. Hill Mr. Williams 7 Mr. Haashi The table below shows the change in four companies stock prices at the end of the da s trading. Which compan s stock lost the most? Compan Change In Price King Farle 3 Allendale 6 Tellers 17. Name the quadrant where the point (, ) is located. x 18. Name the quadrant where the point (0, 4) is located. x 2

3 Name: ID: A 19. Give the coordinates of the following point. x 20. Graph the point (1, 0) on a coordinate plane. 3

4 Integers Answer Section MATCHING 1. ANS: E REF: Page 48 OBJ: Identifing Quadrants STO: 3.04 TOP: 9-3 The Coordinate Plane KEY: quadrant, coordinate plane 2. ANS: I REF: Page 41 OBJ: Finding Absolute Value STO: 1.01 TOP: 9-1 Understanding Integers KEY: absolute value 3. ANS: G REF: Page 49 OBJ: Locating Points on a Coordinate Plane 4. ANS: A REF: Page 41 OBJ: Graphing Integers STO: 1.01 TOP: 9-1 Understanding Integers KEY: integer, graph. ANS: B REF: Page 48 OBJ: Identifing Quadrants STO: 3.04 TOP: 9-3 The Coordinate Plane KEY: quadrant, coordinate plane 6. ANS: F REF: Page 49 OBJ: Locating Points on a Coordinate Plane 7. ANS: D REF: Page 41 OBJ: Graphing Integers STO: 1.01 TOP: 9-1 Understanding Integers KEY: integer, graph SHORT ANSWER 8. ANS: +12 An increase should be represented b a positive integer, and a decrease should be represented b a negative integer. REF: Page 40 OBJ: Identifing Positive and Negative Numbers in the Real World STO: 1.01 TOP: 9-1 Understanding Integers KEY: positive, negative, integer NOT: /A/ An increase is represented b a positive integer; a decrease is represented b a negative integer. /B/ The change is represented b an integer, not a fraction./c/ The change is represented b an integer, not a fraction. /D/ Correct! 9. ANS: +29 The temperature rising should be represented b a positive integer, and the temperature falling should be represented b a negative integer. REF: Page 40 OBJ: Identifing Positive and Negative Numbers in the Real World STO: 1.01 TOP: 9-1 Understanding Integers KEY: positive, negative, integer NOT: /A/ The change in temperature is represented b an integer, not a fraction. /B/The temperature rising is represented b a positive integer; the temperature falling is represented b a negative integer. /C/ The change in temperature is represented b an integer, not a fraction./d/ Correct! 1

5 10. ANS: 2 An amount earned should be represented b a positive integer, and an amount spent should be represented b a negative integer. REF: Page 40 OBJ: Identifing Positive and Negative Numbers in the Real World STO: 1.01 TOP: 9-1 Understanding Integers KEY: positive, negative, integer NOT: /A/ An amount earned is represented b a positive integer; an amount spent is represented b a negative integer. /B/ Correct! /C/ The amount is represented b an integer, not a fraction./d/ The amount is represented b an integer, not a fraction. 11. ANS: The student should graph both the integer and its opposite. These will be two points equidistant from zero, one to the left of zero and one to the right of zero. REF: Page 41 OBJ: Graphing Integers STO: 1.01 TOP: 9-1 Understanding Integers KEY: integer, graph NOT: /A/ Correct! /B/ What are the integer and its opposite? /C/ What is the opposite of this integer? /D/ You must graph the integer itself. 12. ANS: 8 The absolute value of a number is its distance from zero on the number line. REF: Page 41 OBJ: Finding Absolute Value STO: 1.01 TOP: 9-1 Understanding Integers KEY: absolute value NOT: /A/ Absolute value cannot be negative. /B/ Absolute value is the number's distance from zero on the number line. /C/ Correct! /D/ Absolute value is the number's distance from zero on the number line. 13. ANS: < The integer ling to the left of the other integer on the number line is the lesser integer. REF: Page 44 OBJ: Comparing Integers STO: 1.01, 1.03 TOP: 9-2 Comparing and Ordering Integers KEY: integer, compare NOT: /A/ Correct! /B/ The leftmost integer on the number line is the lesser integer. /C/ The leftmost integer on the number line is the lesser integer./d/ The rightmost integer on the number line is the greater integer. 14. ANS: 9,, 4, Students must put integers in ascending order and plot each integer on the number line. REF: Page 44 OBJ: Ordering Integers STO: 1.01, 1.03 TOP: 9-2 Comparing and Ordering Integers KEY: integer, order NOT: /A/ The integers must be in order from least to greatest./b/ The integers must be in order from least to greatest. /C/ Be sure to plot each integer on the number line. /D/ Correct! 2

6 1. ANS: Mr. Williams Negative numbers are alwas less than positive numbers. The negative number that is farthest from zero on the number line is the least number. Therefore, Mr. Williams is the winner of the tournament. REF: Page 4 OBJ: Application: Compare and Order Integers STO: 1.01, 1.03 TOP: 9-2 Comparing and Ordering Integers KEY: integer, compare, order NOT: /A/ The negative number that would lie farthest to the left on a number line is the lowest score. /B/ The negative number that would lie farthest to the left on a number line is the lowest score. /C/ Correct! /D/ The negative number that would lie farthest to the left on a number line is the lowest score. 16. ANS: King Negative numbers are alwas less than positive numbers. The negative number that is farthest from zero on the number line is the least number. Therefore, King s stock lost the most mone. REF: Page 4 OBJ: Application: Compare and Order Integers STO: 1.01, 1.03 TOP: 9-2 Comparing and Ordering Integers KEY: integer, compare, order NOT: /A/ The negative number that would lie farthest to the left on a number line is the change in price of the stock that lost the most. /B/ The negative number that would lie farthest to the left on a number line is the change in price of the stock that lost the most./c/ The negative number that would lie farthest to the left on a number line is the change in price of the stock that lost the most. /D/ Correct! 17. ANS: Quadrant III The student must tell whether the point is in Quadrant I, II, III, or IV. If both x and are positive, the point will be in Quadrant I. If x is negative and is positive, the point will be in Quadrant II. If both x and are negative, the point will be in Quadrant III. If x is positive and is negative, the point will be in Quadrant IV. REF: Page 48 OBJ: Identifing Quadrants STO: 3.04 TOP: 9-3 The Coordinate Plane KEY: quadrant, coordinate plane NOT: /A/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. The signs of x and determine which quadrant the point is in. /B/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. The signs of x and determine which quadrant the point is in./c/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. The signs of x and determine which quadrant the point is in. /D/ Correct! 3

7 18. ANS: Between Quadrants I and II The student must tell which two quadrants the point lies between. If x = 0 and is positive, the point will be on the -axis between Quadrants I and II. If x = 0 and is negative, the point will be on the -axis between Quadrants III and IV. If = 0 and x is positive, the point will be on the x-axis between Quadrants I and IV. If = 0 and x is negative, the point will be on the x-axis between Quadrants II and III. REF: Page 48 OBJ: Identifing Quadrants STO: 3.04 TOP: 9-3 The Coordinate Plane KEY: quadrant, coordinate plane NOT: /A/ Correct! /B/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. If x = 0, the point is on the -axis. If = 0, the point is on the x-axis./c/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. If x = 0, the point is on the -axis. If = 0, the point is on the x-axis. /D/ The coordinate plane is divided b the x-axis and the -axis into four quadrants. If x = 0, the point is on the -axis. If = 0, the point is on the x-axis. 19. ANS: (, 3) The distance left or right from the origin is the value of the x-coordinate and the distance up or down from the origin is the value of the -coordinate. REF: Page 49 OBJ: Locating Points on a Coordinate Plane NOT: /A/ The x-coordinate is listed first, followed b the -coordinate. /B/ Correct! /C/ Moving to the right from (0, 0) is moving in a positive direction and moving left from (0, 0) is moving in a negative direction. /D/ Moving up from (0, 0) is moving in a positive direction and moving down from (0, 0) is moving in a negative direction. 20. ANS: x The x-coordinate of the ordered pair tells how man units to move left or right from the origin. The -coordinate of the ordered pair tells how man units to move up or down from the origin. REF: Page 49 OBJ: Graphing Points on a Coordinate Plane NOT: /A/ Correct! /B/ The first number in the ordered pair tells whether to move left or right from (0, 0). The second number tells whether to move up or down./c/ The first number in the ordered pair tells whether to move left or right from (0, 0). The second number tells whether to move up or down. /D/ The first number in the ordered pair tells whether to move left or right from (0, 0). The second number tells whether to move up or down. 4