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1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Multiply Multiples of 10 Estimate Products Numerical Expressions AlgorithmArea Model
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2 23 x 20 =
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3 What is: 460
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4 3,310 x 300 = ______
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5 What is: 993,000
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6 True or False: (show your work) 6 tens = 2 tens x 3 tens
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7 What is: False 2 tens = 20 3 tens = 30 20 x 30 = 600
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8 True or False? 57 x 2 x 10 x 10 x 10 = 570 x 2 x 10
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9 What is: False. I can rewrite the problem to be 57 x 2 x 1000 on the left side. 57 x 2 x 1000 is not equal to 570 x 2 x 10.
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10 Tickets to a baseball game are $20 for an adult and $15 for a student. A school buys tickets for 45 adults and 600 students. How much money will the school spend for the tickets?
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11 What is: $9,900 Adult: $20 x 45 = $900 Student: $15 x 600 = $9,000 9,000 + 900 9,900
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12 Round the factors to estimate the product. 597 x 52 = ________ x ________ = _________
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13 What is: 600 x 50 = 30,000
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14 Round the factors to estimate the product. 8,379 x 541 = _____ x _____ = ______
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15 What is: 8,000 x 500 = 4,000,000
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16 Round the factors to estimate the product. 726 x 674 = ________ x ________ = _________
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17 What is: 700 x 700 = 490,000
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18 There are 19,763 tickets available for a New York Knicks home game. If there are 41 home games in a season, about how many tickets are available for all the Knicks’ home games?
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19 What is: 19,763 x 41 is estimated to be 20,000 x 40 = 800,000 There were about 800,000 tickets available for all the Knicks’ home games.
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20 The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Show your work!
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21 8,146 x 12 = 8,000 x 10 = 80,000 81,467 x 121 = 80,000 x 100 = 8,000,000 8,146 x 121 = 8,000 x 100 = 800,000 81,477 x 1,217 = 80,000 x 1,000 = 80,000,000
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22 Write the following numerical expression: The difference between 4 twenty-fives and 3 twenty- fives.
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23 What is: (4 x 25) – (3 x 25)
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24 Write the numerical expression: Triple the sum of 33 and 27
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25 What is: (33x27) x 3
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26 Compare the two expressions using >, <, =. 62 x (70 + 8) (70 + 8) x 26
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27 What is: 62 x 78 > 26 x 78 The left side is greater than the right side because the sum or the numbers inside the parenthesis is the same; however multiplying that number by 62 would produce a much greater product than multiplying it by 26.
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28 Two students wrote the following numerical expressions: Angeline: (7 + 15) x (38 + 15) MeiLing: 15 x (7 + 38) Are the expressions equivalent? Explain your answer.
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29 What is: Angeline’s answer is equivalent to 7 fifteens and 38 fifteens while Meiling’s expression showed 15 times the sum of 7 and 38. They are not equivalent. (7+15) x (38+15)15 x (7+38) 22 x 5315 x 45 =1,166= 645
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30 A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant. a) Write an expression to show how to find the total number of oranges ordered. b) Next week, Mr. Lee will double both the number of boxes he orders. Write a new expression to represent the number or oranges in next week’s order.
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31 What is: a) (24 x 8) + (24 x 12) or 24 x (8 + 12) or (24 x 20) b) [(24 x 8) + (24 x 12)] x 2 or (24 x 20) x 2
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32 Find the product using the algorithm: 23 x 31 = __________
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33 What is: 713
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34 Find the product using the algorithm: 624 x 84 = __________
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35 What is: 51,168
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36 Find the product using the algorithm: 524 x 136 = __________
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37 What is: 71,264
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38 Find the product using the algorithm: 4,509 x 326 = _______
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39 What is: 1,469,934
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40 As of the 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people. How many more people live in Brooklyn than in Marlboro?
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41 3,669 x 681 3,669 293,520 + 2,201,400 2,498,589 What is: 2,498,589
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42 Use an area model to show the product of 46 and 73.
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43 What is: 4,672
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44 Use an area model to solve the following equation: 34 x 63 = __________
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45 What is: 2,142
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46 Use the area model to find the product of 52 and 195.
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47 What is: 10,140
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48 Use the area model to find the product of the following equation: 524 x 136 = _____________
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49 What is: 71,264
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50 A publisher prints 1,512 copies of a book in each print run. If they print 305 runs, how many books will be printed? Use the area model to find the solution.
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51 What is: 461,160
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