Integers & Rational Numbers

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Integers & Rational Numbers Created by Educational Technology Network. www.edtechnetwork.com 2009

Reflection Coordinate Grid Number Line Real Life Miscellaneous 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

Reflection – 10 Points QUESTION: ANSWER: Which coordinate pair is (-5, 7) reflected across the y-axis? ANSWER: (5,7)

Reflection – 20 Points QUESTION: ANSWER: Choose coordinates of a point that is in Quadrant III of the coordinate plane. What are the coordinates if you reflect this point across the x-axis? ANSWER: (Any - #, Any + #)

Reflection – 30 Points QUESTION: ANSWER: Choose coordinates of a point that is in Quadrant IV of the coordinate plane. What are the coordinates if you reflect this point across the y-axis? ANSWER: (Any -#, Any -#)

Reflection – 40 Points QUESTION: ANSWER: Choose coordinates of a point that is in Quadrant II of the coordinate plane. What are the coordinates if you reflect this point across the y-axis? ANSWER: (Any +#, Any +#)

Reflection – 50 Points QUESTION: ANSWER: Choose coordinates of a point that is in Quadrant IV of the coordinate plane. What are the coordinates if you reflect this point across the x-axis? ANSWER: (Any +#, Any +#)

Coordinate Grid– 10 Points QUESTION: A coordinate grid is used to map a home development. The location of a new home is at (-3, -12). Another home is going to be built 15 units east of the first home. What quadrant will the new home be located in? ANSWER: (Quadrant IV)

Coordinate Grid – 20 Points

Coordinate Grid – 30 Points QUESTION: A coordinate grid is used to map a home development. The location of a new home is at (4, -12). Another home is going to be built 15 units west of the first home. What quadrant will the new home be located in? ANSWER: (Quadrant III)

Coordinate Grid – 40 Points

Coordinate Grid – 50 Points QUESTION: What is the origin on a coordinate plan? ANSWER: (0, 0)

Number Line – 10 Points

Number Line – 20 Points

Number Line – 30 Points QUESTION: ANSWER: Write a negative number. Write a different negative number. Write a statement using < or > to compare the numbers. Explain the position of the numbers on the number line. ANSWER: (The negative number with the bigger absolute value is the smaller number.)

Number Line – 40 Points QUESTION: ANSWER: Write a number. Show how to represent this number and its opposite on a number line. Show how far the number and its opposite are away from zero. Repeat this process for two more numbers. ANSWER: (Answers Vary)

Number Line – 50 Points QUESTION: Identify the temperature that is halfway between 6°F and -10°F. ANSWER: (-2°F )

Real Life – 10 Points QUESTION: ANSWER: Name two real-world situation in which positive and negative numbers can be used to represent quantities. Explain the meaning of 0 (zero) in each situation. ANSWER: (Answer Vary)

Real Life– 20 Points QUESTION: ANSWER: (11°F + - 4°F = 7°F) If it is 11°F outside at 9:00 and 7°F at 3:00, write the equation and what is the temperature change? ANSWER: (11°F + - 4°F = 7°F) Temperature Change = - 4°F

Real Life – 30 Points QUESTION: ANSWER: Glenn got in the ground floor of an elevator and ascended to the 12 floor. Write an integer to represent the situation below, and tell the value of zero. ANSWER: (Integer = +12; Zero is the ground floor.)

Real Life – 40 Points QUESTION: ANSWER: (-7°F; 14°F + -21°F = -7°F) If it is 14°F outside at 10:00, and the temperature decreased 21°F by lunch, what temperature is it at noon? Write the equation. ANSWER: (-7°F; 14°F + -21°F = -7°F)

Real Life – 50 Points QUESTION: ANSWER: A snorkeler descends into the Atlantic Ocean and reaches 285 feet. Write an integer to represent the situation below, and tell the value of zero. ANSWER: (-285 ft; Zero is sea level)

Miscellaneous – 10 Points

Miscellaneous – 20 Points

Miscellaneous – 30 Points

Miscellaneous – 40 Points

Miscellaneous – 50 Points QUESTION: Find the absolute value of: |-13| =__________ |2.75| = __________ |-197.3| = __________ Use the absolute value of the above rational numbers and place them in order from least to greatest. ANSWER: (Absolute values = 13, 2.75, 197.3; )