Estimations
Area Models
Miscellaneous
Standard Form
2-Step Problems
100

Estimate this problem using Front-End Estimation:

39 x 54 =

30 x 50 = 1,500

100

Solve using an area model: 

14 x 26 = 

364

100

Solve using a method of your choice:

17 x 24 = 

408

100

Solve using standard form:

34 x 45 = 

1,530

100

34 x 23 + 129 = 

911

200

Estimate this problem using Compatible Numbers:

24 x 82 = 

25 x 80 = 2,000

200

Solve using an area model:

63 x 92 = 

5,796

200

Solve using a method of your choice: 

94 x 45 = 

4,230

200

Solve using standard form:

87 x 96 = 

8,352

200
6,538 - 64 x 82 = 

1,290

300

Estimate the answer to this problem using Front-End Estimation, Rounding, and Compatible Numbers:

78 x 52 = 

FEE: 70 x 50 = 3,500

R: 80 x 50 = 4,000

CN: 75 x 50 = 3,750 or something. similar

300

Solve using an area model:

Micah is starting a lemonade stand business. He has 34 stands around Provo. Each lemonade stand uses 62 lemons every day to make their lemonade. How many lemons does he need to provide each day to keep up with demand?

2,108 lemons

300

Solve using expanded standard form:

57 x 69 = 

3,933

300

Use standard form to solve:

At the Olympics, Theodore runs a marathon (about 26 miles). While he runs, he likes to take selfies to post online. Theodore takes 69 selfies every mile during the marathon. How many selfies did Theodore take at the Olympics?

1,794 selfies

300

Over fall break, Mary carved 69 pumpkins and counted the seeds. All but one of her pumpkins had exactly 31 seeds. The last pumpkin she carved had 76 seeds. How many seeds were in Mary's pumpkins altogether?  

2,215 seeds

400
Find an estimate (using any strategy) for the following problem:


Benji walks 84 miles every day to get to and from school. He goes to school for 76 days. How many miles does he walk in all?

FEE: 80 x 70 = 5,600 miles

R: 80 x 80 = 6,400 miles

CN: 80 x 75 = 6,000 miles (or something similar)

400

Solve using an area model: 

Ellis is only allowed to eat waffle fries on his birthday. Every year, Ellis eats 73 waffle fries to celebrate. If this tradition continues, how many waffle fries will he have eaten when he is 73 years old?

5,329 waffle fries

400

Solve using expanded standard form:

Neela and Elsie play Mario Kart together after school every day. Each day, they play 48 races. If they do this for 86 days, how many races will they have played?

4,128 races

400

Solve using standard form:

Mrs. Monga's cat, Khajiit, likes to be pet 77 times per day. Each petting session must include exactly 39 strokes. How many strokes does Khajiit get every day?

3,003 strokes

400

Henry and Ryan are arguing about who has more cherry flavored mambas. Henry has 49 bags that each have 23 cherry flavored mambas in them. Ryan has 58 bags that each have 19 cherry flavored mambas in them. Who has more cherry flavored mambas? How many more?

Henry has 25 more cherry flavored mambas than Ryan.

500

Estimate the answer to this problem using Front-End Estimation, Rounding, and Compatible Numbers. Then find the actual answer:

After Luna became president, she gave speeches in 47 states. In each state she spoke in, she gave 98 speeches. How many speeches did give as president?

FEE: 40 x 90 = 3,600 speeches

R: 50 x 100 = 5,000 speeches

CN: 45 x 100 = 4,500 speeches (or something similar)

Actual Answer: 4,606 speeches

500
After using an area model to solve 87 x 78, Claire gets the following partial products: 560, 640, 49, and 56. She then declares that the answer is 1,305. However, Hunter disagrees. He says the answer is 6,786 and got the following partial products: 56, 490, 640, and 5,600. Who is correct? Where did the other person go wrong?

Hunter is correct. 

Claire's partial products are incorrect. When solving 80 x 70, Claire only added one zero to the end of the product instead of two, and when solving 70 x 7, Claire did not add the zero to the end of 49 to make 490. 

500

George M. and Evelyn buy 41 watermelons. After counting carefully, they find that each watermelon has exactly 46 seeds. George M. estimates that there are 2,500 seeds in all. Evelyn estimates that there are 1,800 seeds in all. Whose estimate is more reasonable? Why? How many seeds are there in all?

Evelyn's estimate is more reasonable because she used Compatible Numbers to find her answer, while George M. used High-End Estimation. Evelyn's estimate is closer to the actual answer.


There are 1,886 seeds in all. 
500

After solving the problem using standard form, Bryce says that 94 x 43 = 658. Mrs. Monga tells him he did it wrong and needs to try again. Did Bryce get the answer wrong? If so, where did he go wrong and what is the correct answer?

Yes, Bryce got the wrong answer. He forgot to add the placeholder 0 when multiplying 94 x 40. The correct answer is 4,042.

500
For his birthday, George B. got 57 gift baskets. Each gift basket contained 35 pieces of chocolate and 56 starbursts. Write an equation using all three numbers and solve to find how much candy George B. got in all. 

57 x (35+56) = 5,187 pieces of candy

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