RBSE Solutions Class 6 Maths Chapter 7 Vedic Mathematics More Ques

Question 1. Fill in the (RBSESolutions.com) blanks :
Answer:

In simple words: This table shows how a number changes using a Vedic math rule. For a given digit, the digit just before it is reduced by one to get the new number. For example, in 15 of digit 5, the digit 1 before 5 is changed to 0, making the new number 05.
🎯 Exam Tip: Pay attention to which digit is specified and apply the rule consistently to the digit immediately preceding it, handling cases like a leading digit becoming zero.

Question 1. Make table of (RBSESolutions.com) following numbers :
(i) 99
(ii) 98
(iii) 89
(iv) 999
Answer:
(i) 99:
When converting the number 99 into Vinkulum, the inverse of 99 is stated as \( 1\overline{1}9 \). The unit digit is calculated as 9 (10 – 1), which means it would be reduced by 1. The complementary digit of the tens digit \( \overline{1} \) is 9. This process helps simplify calculations by using negative digits.
(ii) 98:
To change the number 98 into Vinkulum, the inverse of 98 is given as \( 1\overline{1}8 \). Here, the unit digit is 8, and its complementary digit (10 – 2) is 2, so it would be reduced by 2. The complementary digit of the tens digit \( \overline{1} \) stays as 9, and the hundreds digit, which is 1, would be increased by 1.
(iii) 89:
When changing the number 89 into Vinkulum, its inverse is shown as \( 1\overline{11} \). The unit digit is \( \overline{1} \), which would be reduced by 1. The tens digit is also \( \overline{1} \), and it would also be affected by this reduction.
(iv) 999:
For the number 999, converting it into Vinkulum gives an inverse of \( 100\overline{1} \). In this representation, the unit digit is \( \overline{1} \), which means it would be reduced by 1. Both the tens and hundreds digits are 0, so their complementary digit, based on the Ekadhik value of 0 (which is 1), is 9. Therefore, the tens and hundreds digits stay the same, and the thousands digit, which is 1, would be increased by 1.

(0+1)\(\rightarrow\)1998(9-1)
(1+1)\(\rightarrow\)2997(8-1)
(2+1)\(\rightarrow\)3996(7-1)
(3+1)\(\rightarrow\)4995(6-1)
(4+1)\(\rightarrow\)5994(5-1)
(5+1)\(\rightarrow\)6993(4-1)
(6+1)\(\rightarrow\)7992(3-1)
(7+1)\(\rightarrow\)8991(2-1)
(8+1)\(\rightarrow\)9990(1-1)
In simple words: Vinkulum conversion helps write numbers using a mix of positive and negative digits, often making big numbers easier to handle in calculations. For example, 999 becomes \( 100\overline{1} \), meaning 1000 minus 1. This system is useful in Vedic Mathematics for simplifying complex operations.
🎯 Exam Tip: When converting to Vinkulum, remember that a digit followed by a bar means it is subtracted. For example, \( \overline{1} \) means -1. Practice converting different numbers to master this technique.

Question 1. Fill in the (RBSESolutions.com) blanks :
Answer:

In simple words: This table demonstrates the "Ekadhikena Poorvena" principle, which means "one more than the previous". For single numbers, it simply means adding one. For numbers where a specific digit is mentioned, that particular digit is increased by one, with any necessary carry-over to the left.
🎯 Exam Tip: Remember to identify the target digit correctly. If the digit is 9 and it increases, it becomes 0 and a '1' is carried over to the digit on its left, effectively increasing the value of the place to its left.