    ### Answers − Long Multiplication − Box Method

#### 1.    23 × 97 =

(a) create a table: with 20 and 3 in the first row; and 90 and 7 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 20 3 90 1800 270 7 140 21

(c) add up all the values that were multiplied in second step above:

 1800 270 140 +    21 ------- 2231

#### 2.    475 × 88 =

(a) create a table: with 400, 70 and 5 in the first row; and 80 and 8 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 400 70 5 80 32000 5600 400 8 3200 560 40

(c) add up all the values that were multiplied in second step above:

 32000 5600 400 3200 560 +    40 ------- 41800

#### 3.    576 × 72 =

(a) create a table: with 500, 70 and 6 in the first row; and 70 and 2 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 500 70 6 70 35000 4900 420 2 1000 140 12

(c) add up all the values that were multiplied in second step above:

 35000 4900 420 1000 140 +    12 ------- 41472

#### 4.    1783 × 37 =

(a) create a table: with 1000, 700, 80 and 3 in the first row; and 30 and 7 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 1000 700 80 3 30 30000 21000 2400 90 7 7000 4900 560 21

(c) add up all the values that were multiplied in second step above:

 30000 21000 2400 90 7000 4900 560 +    21 ------- 65971

#### 5.    684 × 47 =

(a) create a table: with 600, 80 and 4 in the first row; and 40 and 7 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 600 80 4 40 24000 3200 160 7 4200 560 28

(c) add up all the values that were multiplied in second step above:

 24000 3200 160 4200 560 +    28 ------- 32148

#### 6.    786 × 77 =

(a) create a table: with 700, 80 and 6 in the first row; and 70 and 7 in the first column

(b) complete the remaining cells by multiplying as follows:

 × 700 80 6 70 49000 5600 420 7 4900 560 42

(c) add up all the values that were multiplied in second step above:

 49000 5600 420 4900 560 +    42 ------- 60522 back to:   