Powers of 10
Estimate Products
Exponential Form
Multiplication Strategies
Word Problems
100

Which is equivalent to 104

A. 10 x 4
B. 10 x 10 x 10 x 10
C. 10 x 10 x 10 x 10 x 10
D. 1,000
E. 10,000
F. 100,000

B. 10 x 10 x 10 x 10
 
E. 10,000

100

Which is the most reasonable estimate for 68 x 221?

A. 60 x 300

B. 70 x 200

C. 600 x 200

D. 700 x 300

B. 70 x 200

100

What exponential form completes this equation

42 x _______ = 420,000

104

100

What is the product of 573 x 63? Use an algorithm

     573
  x   63
_______
     1719
+ 34380
________
  36,099

100

A bus company charges $83 for a ride from one city to another. During the last trip, the bus had 42 fares. How much money did the bus company earn?

$3, 486

200

A square has side length 10. Which represents the area of the square? Choose all that apply.

A. 10 x 2
B. 10 + 10 + 10 + 10
C. 102
D. 10 x 10
E. 40
F. 100

C. 102

D. 10 x 10


F. 100

200

A rectangular field measures 416 feet long and 52 feet wide. About how much is the area of the field?

Sample answer: 

400 x 50 = 20,000 square feet

200

50 x _____ = 500000

104

200

Calculate 64 x 538 using partial products

   30,000

     1,800
        480
     2,000
        120
 +       32
__________
   34,432

200

In its frame, a rectangular poster measures 68 inches long and 45 inches wide. How much wall space does the poster cover? Explain the strategy you used to find the answer.

3,060 square inches


Sample answer: I used an area model to multiply, then i added the partial products: 2,400 + 300 + 40 = 3,060

300

Which is equivalent to 38 x 105? (standard form number)

3,800,000

300

Which product is correct? Choose all that apply.

178 x 4 = 482

397 x 6 = 2,382

513 x 5 = 25,515

923 x 8 = 7384

397 x 6 = 2382

923 x 8 = 7384

300

The average attendance at a town's high school soccer games is 4,153 people per game. How many people attended the team's 8 home games this season? Give an estimate and the exact number. Explain your strategies.

32,000 ; 33,224 people

Sample answer: I rounded 4,153 to 4,000 and multiplied by 8 to get 32,000. I used an algorithm to multiply 8 times 4,153:
4,153
x     8
_______
33,224

400

Which product is shown by the area model? (see example on the board)

A. 70 x 300 = 21,000

B. 70 x 346 = 24,220

C. 74 x 346 = 24,524

D. 74 x 346 = 25,604

D. 74 x 346 = 25,604


400

A theater has 1,475 seats. For a show's 39 performances, every seat was filled. How many people saw the show? Explain the strategy you used to find the answer. 

57,525 people

Sample answer: I used an algorithm to multiply, first by multiplying 9 times 1,475 and then by multiplying 30 times 1,475. Then, I added the partial products.
  1475
  x  39
______
  13275
+44250
_______
  57,525