Question

Write a multiplication table of 46 by using the Vinculum method and identify the fourth term in the table.
A. 184
B. 230
C. 143
D. 138

Answer 1

Hint: In these types of questions remember the method by which you have to solve the question and also replace the number with a simpler form for example if we have to find the table of 39 then instead of 39 use (40 – 1) to apply the Vinculum method.

Complete step-by-step answer:
For finding the table of 46 using the Vinculum method we can write 46 = 40+6
In the Vinculum method, instead of multiplying the number with 46, it is multiplied with 40 and 6 and the result is subtracted.
Let’s find the multiplication table of 46

1	$(40 + 6) \times 1$	46
2	$(40 + 6) \times 2$	92
3	$(40 + 6) \times 3$	138
4	$(40 + 6) \times 4$	184
5	$(40 + 6) \times 5$	230
6	$(40 + 6) \times 6$	276
7	$(40 + 6) \times 7$	322
8	$(40 + 6) \times 8$	368
9	$(40 + 6) \times 9$	414
10	$(40 + 6) \times 10$	460

For the fourth term = $(40 + 6) \times 4$=184.

Note: In these types of the question first change the number into (40+6) to follow the rules of Vinculum method then use the method of writing the table in the Vinculum method i.e. In Vinculum method instead multiplying the number with 46 multiply it with (40+6) and then results are added for example if we have to find the number at the x place then the format of finding that number will be\[\{ \left( {40 + 6} \right)x = {\text{ }}the{\text{ }}number{\text{ }}at{\text{ }}the{\text{ }}x{\text{ }}place\} .\]