Two Digit by Two Digit Using Box Method

Gregory uses this model to multiply 46×38. Enter the correct value for each area.

• Area A: 12,000, Area B: 1,800, Area C: 3,200, Area D: 480

• Area A: 70, Area B: 36, Area C: 48, Area D: 14

• Area A: 700, Area B: 90, Area C: 120, Area D: 14

• Area A: 1,200, Area B: 180, Area C: 320, Area D: 48

What partial product matches each letter?

• A=350 B=100 C=630 D=18

• A=3,500 B=10 C=630 D=18

• A=3,500 B=100 C=630 D=18

• A=3,500 B=100 C=540 D=18

What number goes in the box with the question mark?

The area model represents 23 X 47.

Which answer shows all the correct partial products?

• 800 + 140 + 12 + 21

• 800 + 140 + 120 + 21

• 80 + 140 + 120 + 21

• 800 + 14 + 120 + 21

The area model represents 38 X 16.

Which answer shows all the correct partial products?

• 300 + 180 + 8 + 48

• 30 + 180 + 80 + 48

• 300 + 180 + 80 + 48

• 300 + 18 + 80 + 48

What number is missing from the table?

• 11

• 120

• 50

• 30

To multiply 64 x 51 using the BOX METHOD, what would be your partial products?

• 300 + 200 + 6 + 4

• 3000 + 200 + 60 + 4

• 3000 + 20 + 6 + 4

• 300 + 200 + 60 + 40

• Add the numbers together.

• Break each number into tens and ones.

• Subtract the smaller number from the larger number.

• Divide the numbers by 2.

Answer explanation

The first step in the box method is to break each number into tens and ones. For 23, this means 20 and 3; for 45, it means 40 and 5. This allows for easier multiplication of each part.

• 408

• 412

• 384

• 396

Answer explanation

Using the box method, break down 34 into 30 and 4, and 12 into 10 and 2. Calculate: (30x10) + (30x2) + (4x10) + (4x2) = 300 + 60 + 40 + 8 = 408. Thus, the product of 34 and 12 is 408.