Lesson 2.1 Multiplication Comparisons

Transcription

1 Name: # Lesson 2.1 Multiplication Comparisons Date: Ms. Mastromarco 1. Write a comparison sentence. a. 6 3 = 18 times as many as is. 2. Alan is 14 years old. This is twice as old as his brother James is. How old is James? b. 7 9 = 63 is times as many as. 4.OA.A.1 3. A baseball stadium has 38,496 seats. Rounded to the nearest thousand, how many seats is this? 4.NBT.A.3 4.NBT.B.4 4. Add , , Multiply. 7 3 = 7 4 = 7 5 = 7 6 = 7 7 = 7 8 = 6. Choose the best answer. Which two values are located at the same point on a number line?

2 7. 8. Last month, a store sent 2,104 s to customers about sales. The number of s sent the month before was 2,014. Use >,<, or = to compare the two numbers of s sent. Explain how you used the digits to determine your answer.

3 Name: # Lesson 2.2 Comparison Problems Date: Ms. Mastromarco Pr 1. Ryan counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many white cars did Ryan count? 2. Sari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have? 4.OA.A.2 3. Dani has 45 marbles. She has 5 times as many marbles as Joe has. How many marbles does Joe have? 4. Choose the best answer. 4.OA.A.1 4.NBT.2 5. Kayla makes and sells pottery vases. If she charges $9 per vase and she sells 6 vases one week and 7 vases the next, how much will she earn? 6. James woke up at 7:00 AM. It took him 6 minutes to get dressed and 15 minutes to eat breakfast. What time is it now? Show the time on the clock.

4 7. Draw a model. Write an equation and solve. At the zoo, there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there? 8.

5 Name: # Lesson 2.3 Multiply Tens, Hundreds, and Thousands Date: Ms. Mastromarco Pr 1. Find the product. a = 2. A plane is traveling at a speed of 400 miles per hour. How far will the plane travel in 5 hours? b. 6 3,000 = c. 9 4,000 = 3. Write a comparison sentence to represent this equation. 6 7 = 42 4.OA.A.1 4. The population of Middleton is five thousand, fifty-four people. Write this number in standard form. 4.OA.A.2 5. Meredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did she pick? 6. The drive to Patricio s grandmother s house is 642 miles. Patricio s family has driven 484 miles so far. How many miles do they have left to drive? 4.NBT.A.2

6 7. Show your work. 8. Explain your answer.

7 Name: # Lesson 2.4 Estimate Products Date: Ms. Mastromarco Pr 1. Estimate the product by rounding. a. 2 6,254 b A theater has 4,650 seats. If the theater sells all the tickets for each of its 5 shows, about how many tickets will the theater sell? 3. Diego has 4 times as many autographed baseballs as Melanie has. Diego has 24 autographed baseballs. How many autographed baseballs does Melanie have? 4. Round 44,816 to the nearest hundred. 4.NBT.B.4 4.OA.A.1 5. Multiply. 8 3 = 8 4 = 8 5 = 8 6 = 8 7 = 8 8 = 6. Selena had 204 stamps in her collection. She bought 47 more stamps. If she gave 38 stamps to her brother, how many stamps does Selena have now? 3.OA.8

8 7. Explain your answer. 8. In Chicago, Ryan climbed the Willis Tower (108 stories) and the John Hancock Center (100 stories). In New York City, he climbed the Empire State Building (102 stories) and the Bank of America Tower (54 stories). How many stories did he climb in all? Estimate, then find your answer. Show your work.

9 Name: # Lesson 2.5 Distributive Property Date: Ms. Mastromarco Pr 1. Model the product on the grid. Record the product = 2. Fill in the equations using the Distributive Property. Then, find the product = ( x ) + ( x ) x ( + ) = 3. Candy City has a population of twentyone thousand, seventy people. Write the population in standard form. 4. Allison has 5 times as many baseball cards as football cards. In all, she has 120 baseball and football cards. How many baseball cards Allison have? 4.OA.A.2 4.NBT.B.4 5. What fraction of the pie is shaded? 6. Divide = 25 5 = 48 6 = 12 2 = 28 4 =

10 7. Model the product on the grid = Fill in the equations using the Distributive Property. Then, find the product = ( x ) + ( x ) x ( + ) = 8. Complete the table and explain the patterns that you find. The Rule: Multiply by 2 and add 1. IN OUT What patterns do you see?

11 Name: # Lesson 2.7 Multiply Using Partial Products Date: Ms. Mastromarco Pr 1. Use partial products to find the product x 3 2. Use partial products to find the product x 6 3. The school fair made $1,768 on games and $978 on food sales. How much money did the fair make on games and food sales? 4. Last year a business had profits of $8,000. This year its profits are 5 times as great. What are this year s profits? 4.NBT.A.2 5. Last weekend Rocky watched 3 television shows that were each 30 minutes long. He also watched 1 movie on television that was 90 minutes long. What is the total number of minutes Rocky watched television last weekend? 6. Which fraction is larger?

12 7. Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows? Show your work. 8. Explain how you can find using two different methods. Be sure to find the product.

13 Name: # Lesson 2.6 Multiply Using Expanded Form Date: Ms. Mastromarco Pr 1. Find the product using expanded form = ( + ) = ( ) + ( ) = + = 2. Find the product using expanded form = ( + + ) = ( ) + ( )+ ( ) = + + = 3. List these numbers in order from least to greatest. 8,251 8,125 8, Justin bought 6 packages of napkins for his restaurant. There were 200 napkins in each package. How many napkins did Justin buy? 4.NBT.A.2 5. Fill in the blanks to make the statements true. a. 4 times as much as 3 is. b. 10 times as much as 9 is. c. 700 is 10 times as much as ,462 songs were downloaded in one day. Round this number to the nearest hundred thousand. 4.NBT.A.3

14 7. Is 10 times 10 times 6 the same as 10 tens times 6? Draw a picture or show your work. Then explain your answer. 8. Keshley s family went on vacation to Disney World. Their vacation cost $5,990. Sophia s family went on vacation to Niagara Falls. Their vacation cost $4,720. Both families budgeted about $5,000 for their vacations. Whose family stayed closer to the budget? Round to the nearest thousand. Use what you know about place value to explain your answer.

15 Name: # Lesson 2.8 Multiply Using Mental Math Date: Ms.Mastromarco Pr 1. Find the product. Tell which strategy you used = 2. Find the product. Tell which strategy you used Alex has 175 baseball cards. Jacob has 3 times as many baseball cards as Alex. How many fewer cards does Alex have than Jacob? 4. A baseball stadium sold some burgers. 2,806 were cheeseburgers. 1,679 burgers didn t have cheese. How many burgers did they sell in all? 4.NBT.B Estimate the product by rounding =

16 7. In January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months? Is your answer reasonable? Explain. 8. Martin s car had 86,456 miles on it. Of that distance, Martin s wife drove 24,901 miles, and his son drove 7,997 miles. Martin drove the rest. a. About how many miles did Martin drive? Round each value to estimate. b. Exactly how many miles did Martin drive? Refer to your estimate from part A to tell if your answer is reasonable.

17 Name: # Lesson 2.9 Multi-Step Multiplication Problems Date: Ms. Mastromarco 1. There are 9 rows of 36 trees. In each row, 14 of the trees are spruce trees. How many trees are NOT spruce? 2. Ron needs to place 54 square tiles in each of 8 rows to tile a countertop. He wants to randomly place 8 groups of 4 blue tiles each and have the rest be white. How many white tiles will Ron need? 4.OA.A.3 3. Hailey has bottles that hold 678 pennies each. About how many pennies does she have if she has 6 bottles filled with pennies? 4. Kevin has 5 fish in his fish tank. Jasmine has 4 times as many fish as Kevin has. How many fish does Jasmine have? 5. Compare. Write greater than, less than, or equal to in the blank. Five hundred fifty-two thousand, nineteen is 500, , , Fill in the blanks to make the pattern true. 6, 9,,, 18, 21,,

18 7. Jonah and his friends go apple picking. Jonah fills 5 baskets. Each basket holds 15 apples. If 4 of Jonah s friends pick the same amount as Jonah, how many apples do Jonah and his friends pick in all? 8. Write a word problem that can be solved using multiplication of two-digit numbers. Solve your word problem and explain the solution.

19 Name: # Lesson 2.10/2.11 Multiply with Regrouping Date: Ms. Mastromarco 1. Use your favorite method to find the product x 8 x 5 2. Use your favorite method to find the product , x 7 x 6 3. A website has 13,406 people registered. What is the word form of this number? 4. Connor scored 14,370 points in a game. Amy scored 1,089 fewer points than Connor. How many points did Amy score? 4.NBT.A.2 4.NBT.B.4 5. Jess has 3 times as many fidget spinners as Mia. Together, they have 28 spinners. How many spinners does Jess have? 6. 4.OA.A.2

20 7. Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches, between the top of the tree and the floor of the treehouse? Show your work. 8. Explain how finding 4 x 384 can help you find 4 x 5,384. Then find both products.

21 Name: # Lesson 2.12 Solve Problems Using Equations Date: Ms. Mastromarco 1. Find the value of n = n 2. Find the value of n = n n = n = 4.OA.A.3 3. Write an equation that represents the comparison sentence. 32 is 8 times as many as A baseball cap costs $8. A matching shirt costs 4 times as much as the cap. What operation can you use to determine the cost of the shirt? 4.OA.A.1 5. Use your favorite method to find the product. 6. List 5 odd numbers x 6

22 7. A bakery has 4 trays with 16 muffins on each tray. The bakery has 3 trays of cupcakes with 24 cupcakes on each tray. If 15 cupcakes are sold, how many muffins and cupcakes are left? Show your work. 8.