Name: ____________________________________ Date: ___________ Division Test Study Guide Checklist Test: Thursday, December 17, 2015 Use the outline of division concepts below as a checklist while you are studying and completing the review packet. • Each time you finish a section, check it off the list below. • Circle a section, instead of checking it off, if you are having trouble and would like more practice. ! Be able to explain, identify, and/or give an example of the following terms: • Dividend • Quotient • Divisor • Remainder ! Be able to explain and give an example of the following relationships: • Relationship between multiplication and division • Relationship between division and subtraction ! Be able to write a division problem as: • A sentence • A fraction • Using the division symbol (house) ***When dividing, answers must be written in fractional form.*** ! Be able to: • Divide by multiples of 10, 100, 1,000, etc. • Estimate quotients ! Be able to divide: • Using the traditional method with a 1-digit divisor and a 2-digit divisor • Using the short division method with a 1-digit divisor ! Be able to interpret remainders of division word-problems: • Keep, Ignore, or Round Up ! Be able to solve Real-Word Problems that involve all four operations (Using the 4-Step Problem Solving Method) ! Be able to recognize and solve Special Cases of Division problems ! Be able to solve Real-Word Problems that involve all four operations (Using the 4-Step Problem Solving Method) Name: _____________________________________ Date: _______________________ Division Test Review Guide Vocabulary: Give an example for each. 1) divisor: the number of equal groups in a division problem 2) dividend: the total number of groups that you start with before fair sharing 3) quotient: the answer to a division problem 4) remainder: the amount leftover after “fair sharing” or “making equal groups” 5) volume: the measurement of space inside a 3-dimensional figure Division Relationships: Explain the relationship and give an example. 1) The relationship between division and subtraction: _______________________________________________________________________ _______________________________________________________________________ 2) The relationship between division and multiplication: _______________________________________________________________________ _______________________________________________________________________ Division Three Ways ! 1) Rewrite the division sentence 95 ÷ 8 = 11 ! As a fraction ______________ using the math symbol ______________ ! 2) Rewrite the fraction !" As a division sentence _______________ using the math symbol _____________ Division With Multiples of 10; 100; 1,000, etc.: Use mental math to find the following quotients 1) 72,000 ÷ 80 = ___________________ 2) 55,000 ÷ 500 = ________________ 3) 132,000 ÷ 1200 = ________________ 4) 3,200,000 ÷ 800 = ________________ Estimating Quotients: Estimate the following quotients. Be sure to SHOW the numbers you are using to estimate! 1) 6,254 ÷ 9 2) 57,964 ÷ 8 3) 9,754 ÷ 87 4) 72,943 ÷ 63 Short Division Method: Find the following quotients using the short division method (Rewrite the equation using the division “house” symbol.) 1) 15,934 ÷ 4 2) 3,985 ÷ 3 3) 728 ÷ 9 4) 6,089 ÷ 6 Traditional Division Method: Find the following quotients using the traditional method. 1) 4 7306 2) 6 950 3) 72 6329 4) 37 3908 (Traditional Division Method Continued) 5) 62 829 6) 92 8645 Interpreting the Remainder: Solve each problem using the Using 4-Step Problem Solving Method. Be sure to show all of your work! 1) John and his three siblings bought a stereo system for their parents for their anniversary. The stereo system cost $267.00 including tax which they split evenly. How much did each sibling contribute towards the gift? What does the remainder mean? ______________________________________________ What do you do with the remainder? __________________ 2) The fifth grade teachers in Livingston are putting together a field trip to the museum. A total of 795 students, teachers, and chaperones will be attending the trip. How many buses should be reserved if each bus can seat 54 people? What does the remainder mean? ______________________________________________ What do you do with the remainder? __________________ Word Problems: Solve each problem using the Using 4-Step Problem Solving Method. Be sure to show all of your work! 1) Mrs. Smith asked her son to go to the grocery store for her. He had to purchase 2 gallons of milk that cost $2.49 each, and 2 dozen eggs that cost $3.79 per dozen. How much change will he get back if he gives the cashier a $20 bill? 2) The student council wanted to collect coats for a fundraiser to help the homeless in this cold winter. They wanted to collect a total of 250 coats. If there are 19 classrooms in the school, how many coats will each class have to collect in order for the student council to reach their goal? 3) Timothy was going to have a birthday party at Funplex. He invited 20 other people to his party, including friends and family. If it costs $12 per person for the party, how much did they have to pay in total for his party? Special Cases of Division: Replace x with the proper numeral or word phrase. x 25 1) 16 ÷ 0 = x 2) 36 0 3) = x 25 x x 4) 17 17 5) 0 23 6) 0 ÷ 51 = x Volume 1) Identify the length, width and height of the rectangular prism. Then calculate the volume. 10 in. 9 in. 9in. 18in. Length ___________ Width ___________ Height ___________ The volume of the rectangular prism is ____________________ 2) The volume of a rectangular prism is 1,620 cubic feet. If the width is 6 feet and the height is 15 feet, how long is the rectangular prism? 3) Christopher has a rectangular prism that is filled entirely with 210 unit cubes. What are three different possible values for the length, width and height of the rectangular prism? Explain your thinking. .