Multiplication Word Problems for Class 3

1) Dipa Has Given Nisha This Sudoku to Solve. Help Nisha to Solve the Sudoku.

After Solving the Sudoku, Check if the Product of Each 3 × 3 Grid Is the Same or Not.

Here is the solution to the sudoku.

Now, we have to check the product of the numbers for each 3 × 3 grid.

Now in this purple marked 3 × 3 grid, the product of the numbers is

1 × 5 × 9 × 4 × 6 × 8 × 7 × 3 × 2
= 45 × 4 × 6 × 8 × 7 × 3 × 2
= 180 × 6 × 8 × 7 × 3 × 2
= 1080 × 8 × 7 × 3 × 2
= 8640 × 7 × 6
= 60480 × 6 = 362880

Now in this blue marked 3 × 3 grid, the product of the numbers Is

7 × 6 × 8 × 2 × 4 × 1 × 3 × 9 × 5
= 42 × 8 × 2 × 4 × 1 × 3 × 9 × 5
= 336 × 2 × 4 × 1 × 3 × 9 × 5
= 672 × 4 × 3 × 9 × 5
= 2688 × 3 × 9 × 5
= 8064 × 9 × 5
= 72576 × 5
= 362880

Similarly, we can check for the other grids also. It is evident that the product will be the same for all the 3 × 3 grids because the numbers in all the 3 × 3 grids are the same. Hence, the product of all the 3 × 3 grids will be the same.

2) Shukla Found Sudoku in the Newspaper, and She Wants to Solve the Sudoku. Help Her to Solve the Sudoku.

Then Check if the Product of the Numbers Along the Rows Is the Same or Not. Similarly, whether if the Product of the Numbers Along the Columns Is the Same or Not.

In the row:

4 × 3 × 5 × 2 × 6 × 9 × 7 × 8 × 1 = 12 × 5 × 2 × 6 × 9 × 7 × 8
= 60 × 2 × 6 × 9 × 7 × 8
= 120 × 6 × 9 × 7 × 8
= 720 × 9 × 7 × 8
= 6480 × 7 × 8
= 45360 × 8
= 362880

Since the numbers are the same in every row, then for every row then the product of each row is the same.

In the column:

4 × 6 × 1 × 8 × 3 × 9 × 5 × 2 × 7 = 24 × 8 × 3 × 9 × 5 × 2 × 7
= 192 × 3 × 9 × 5 × 2 × 7
= 576 × 9 × 5 × 2 × 7
= 5184 × 5 × 2 × 7
= 5184 × 10 × 7
= 51840 × 7
= 362880

Since the numbers are the same in every column, then for every row
then the product of each column is the same.