Comparison Problems
Regrouping
Estimate Products
Multiplying Using Expanded Form (box method)
Partial Products
100

What symbol does IS mean?

=

100

735 x 6 =

4,410

100

7 x 497= 

7 x 500= 3,500

100

143 x 5



175

100

471 x 4

400 x 4= 1,600

70 x 4  =    280

1 x 4  =         4


                1, 884

200

What symbol means AS MUCH AS?

x

200

912 x 6=  

5,472

200

2,213 x 5= 

2,000 x 5= 10,000

200

213 x 4 = 

852

200

$3,439  x 7

$21,000

   2,800

      210

        63

$24,073

300

Mr. Penny has three times as many pencils as Mrs. Santoro. Mrs. Santoro has 6 pencils. How many pencils do the have all together.  Draw a model to solve the problem.  (Lines or boxes)

24 pencils-


P  -      6

S  ---   6  6  6

300

548 x 3 =  

1,644

300

Mrs. Dorji sells a roll od Bermuda horse hay for $58.  She says she will make $174 if she sells 3 rolls.  Is this reasonable?  Why or why not?

It is reasonable because the 8 tells you to give the 5 a shove. So we round $58 to $60.  $60 x 3= $180.  $174 is close to $180.

300

288 x 3 =   

864

300

608 x 6= 

3,600

       0

    48

3,648

400

Jamie has 3 times as many cards as Rick.  Together, they have 20 cards.  How many cards does Jamie have?

R  __                                 

                                    }  20

J  ___   ____  ____           


4 x N = 20    N=5   Jamie has 15 cards.   

400

6,767 x 6

40,602

400

Find TWO numbers the exact number is between.


8 x 684

8 X 600 =  4,800

8 x 700 - 5,600

400

Ben wants to buy 3 sweaters for $19 each and 2 pais of jeans for $44 each.  How much will Ben spend on the clothing?

$145

400

837  x 9  =

 7,200

    270

      63 

7,533

500

Last month, Andrea trained 3 times as may cats than dogs.  If the total number of cats and dogs was 28 animals, how many cats did she train?  Draw a model and solve the problem.

C  ____    ____   _____

                                       }28

D  _____

4 x N= 28   N= 7   She trained 21 cats.

500

7,676 x 7 =  

53,732

500

Most Americans throw away about 1,365 pounds of trash each year.  Is it reasonable to estimate that Americans throw away over 10,000 pounds of trash in 5 years?  Explain

No.  A reasonable estimate is between 5,000 and 10,000 pounds.

500

Beth walks her dog 4 times a day.  Each time she walks her dog she walks 1,890 yards.  How many yards does she walk her dog in 2 days?

15,120 yards

500

A passenger jet flies at an average speed of 548 miles per hour.  At that speed, how many miles does the plane travel in 7 hours?  

500 x 7 =  3,500

  40 x 7 =     280

    8 x 7 =       56

                 3,836

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