Lesson 8T ~ Understanding Integers
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1 Lesson 8T ~ Understanding Integers Name Period Date Find the opposite of each number Graph the number 3 and its opposite. 6. Graph the following integers on the number line: 8, 5, 0, and 4 7. Which of the following are integers? Circle your answers Find each absolute value = 9. 7 = = Write an integer to represent each situation. 11. A diver dove 9 feet under the surface of the ocean. 1. Jack climbed up 00 stairs. 13. Nina owes her sister $ Name the integer represented by each point. C B A D A = B = C = D = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
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3 Lesson 9T ~ Comparing Integers Name Period Date 1. Graph and 5 on the number line. a. Which number is bigger (further to the right on the number line)? b. Complete the statement using < or >: 5. Graph 1 and 3 on the number line. a. Which number is bigger (further to the right on the number line)? b. Complete the statement using < or >: 1 3 Complete the statement using < or > Order the integers from least to greatest. 6. 7, 1, 0, , 1, 3, , 8, 4, , 5, 17, Copy and complete each statement using <, > or = SM C Curriculum Oregon Focus on Rational Numbers & Equations
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5 Lesson 10T ~ Adding Integers Name Period Date Use a number line to find each sum ( ) =. 7 + ( 3) = = 4. + ( 5) = ( 6) = 6. + ( 1) = ( 5) = = ( 7) = ( 9) = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
6 11. Ken withdrew $15 from his account on Thursday and then deposited $10 in his account on Friday. a. Which number should be negative? b. Write an addition problem for this situation. + c. What integer represents the total change in his account over the last two days? 1. Kelly was in a two-day golf tournament. On the first day, her score was 3. On the second day, her score is 4. What is her overall score for the entire tournament? 13. Leeza climbed 8 stairs and then went down 19 stairs. What integer represents her total change in stair height? 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
7 Lesson 11T ~ Subtracting Integers Name Period Date Use a number line to find each difference = Write as an addition problem by adding the opposite. + Find the sum using the number line:. ( 3) = Write as an addition problem by adding the opposite. + Find the sum using the number line: = Write as an addition problem by adding the opposite. + Find the sum using the number line: 4. 1 ( ) = Write as an addition problem by adding the opposite. + Find the sum using the number line: = Write as an addition problem by adding the opposite. + Find the sum using the number line: 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
8 Find each difference by adding the opposite = 7. 4 ( 1) = 8. 4 = = ( 3) = ( 1) = = ( 6) = = 15. Write a subtraction problem that involves two positive integers and has a negative answer. = 16. Write a subtraction problem that involves two negative integers and has a negative answer. = 17. Write a subtraction problem that involves two negative integers and has a positive answer. = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
9 Lesson 1T ~ Multiplying Integers Name Period Date Model each product using a number line. 1. (3) =. 4(1) = 3. ( 4) = = + = = + + = Find each product. 4. 5() = 5. 4( 1) = 6. 3(6) = 7. 4( 5) = 8. 3( 11) = 9. 1() = (6) = 11. 4( ) = 1. 8( 4) = 13. 9(3) = 14. ( 7) = 15. 6( 6) = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
10 16. Josh lost pounds every week for 6 weeks. What integer represents the change in Josh s weight during that time? = pounds 17. Jake is making iced tea. He has ice cubes which he uses to cool the iced tea. Each ice cube lowers the temperature of the liquid by 3º F. He adds 4 ice cubes to the tea. What integer represents the change in temperature of the iced tea? = º F 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
11 Lesson 13T ~ Dividing Integers Name Period Date Shade in the sign of the answer = + or. 8 4 = + or ( 3) = + or 4. 5 ( 5) = + or Find each quotient = = = ( 5) = 9. 1 ( 3) = = = 1. 8 ( ) = = ( 7) = 15. ( ) = = 17. Joy added ice cubes to her lemonade. The change in temperature of her lemonade was 10º F. If she added 5 ice cubes, what integer represents the change in temperature per ice cube? = 18. Pat takes the same amount from his bank account every week. Over the last 4 weeks he has withdrawn $36. What integer represents the weekly change in his bank account? = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
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13 Lesson 14T ~ Powers and Exponents Name Period Date a. What number repeats? b. How many times does it repeat? c. Write a power for this expression: Write the numerical expression as a power = 3. ( 11)(11)(11) = 4. ( 3)( 3)( 3)( 3) = = Will the value of each power will be + or? ( 3) 9. 4 ( 6) 3 10 Write each power in expanded form and find the value Expanded Form: 11. ( 5) Expanded Form: Value: Value: Expanded Form: ( 3) Expanded Form: Value: Value: 14. Determine which power has the greater value: a. What is the value of ( 3)? b. What is the value of c. Which is greater, 3? ( 3) or 3? ( 3) or Compare the two powers by filling in the circle with <, > or =. 5 ( 5) 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
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15 Lesson 15T ~ Order of Operations Name Period Date 1. Number the operations in the order they should be performed (#1 #4) Grouping Symbols Addition & Subtraction Multiplication & Division Powers. Rewrite the operations listed in Exercise 1 in order from the first to the last. #1 # #3 #4 3. Use the expression: 5(4 + 1) 4 a. Add the numbers in the parentheses. Rewrite the new expression: b. Find the value of the power. Rewrite the new expression: c. Do the multiplication. Rewrite the new expression: d. Subtract the final two numbers. What is the value of the expression? Find the value of each expression. Show all work. Circle your answer (3 + 1) SM C Curriculum Oregon Focus on Rational Numbers & Equations
16 Find the value of each expression. Show all work. Circle your answer. 6. ( 3 + 5) 1 7. (5 9) ( + 1) (3 + 1) 10. Four friends go to the movies. Each movie ticket costs $8. They buy tubs of popcorn for $6 each. They also buy a box of candy to share for $4. The friends want to split the total cost evenly. How much does each friend owe? 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
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