Question 4.5.4: Using Napier’s Rods to Multiply Two- and Three-Digit Numbers......
Using Napier’s Rods to Multiply Two- and Three-Digit Numbers
Multiply 48 × 365, using Napier’s rods.
Step-by-Step
48 × 365 = (40 + 8) × 365
Write (40 + 8) × 365 = (40 × 365) + (8 × 365). To find 40 × 365, determine 4 × 365 and multiply the product by 10. To evaluate 4 × 365, set up Napier’s rods for 3, 6, and 5 with index 4, and then evaluate along the diagonals, as indicated.
Therefore, 4 × 365 = 1460. Then 40 × 365 = 1460 × 10 = 14,600.
48 × 365 = (40 × 365) + (8 × 365) 8 × 365 = 2920
from Example 3
= 14,600 + 2920
= 17,520
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