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example 8. Find the product: 5 × 24

Solution. 5 × 24 Tips

Double Half

10 12 In the case of an even and an odd number,
5 × 24 = 10 × 12 = 120 we take half of the even number and double
the odd number.

box Multiplication Method

The box multiplication method is a simple and visual way to multiply the numbers by
breaking them up into smaller groups. It helps us understand exactly how each digit

contributes to the final product.

example 9. Multiply 23 by 15.

Solution.
Step 1. Expand the numbers: 23 = 20 + 3 and 15 = 10 + 5.

Step 2. Draw a box or Step 3. Multiply each Step 4. Add the products.
grid with the number of pair to fill each box

columns and rows equal with the product of × 20 3
to the number of parts in its corresponding row 10 200 30
the expanded form of the and column numbers. 5 100 15

numbers. × 20 3 300 45

× 20 3 10 200 30 345

10 5 100 15

5

Thus, 23 × 15 = 345.

example 10. Multiply 237 × 26.

Solution. 237 = 200 + 30 + 7 and 26 = 20 + 6 × 200 30 7
Multiply each pair to fill each box with the product 20 4000 600 140

of its corresponding row and column numbers and 6 1200 180 42
then add all the products.
5200 780 182
Thus, 237 × 26 = 6162.
6162

46 Mathematics 5