Page 101 - Ganit Kaushal

IV. Solve the following questions.

1. Write the sum of the following numbers in figures according to the Indian system of numeration.
(a) Seven million nine hundred eight thousand four hundred five.

(b) Two hundred eighty-seven million five thousand seven hundred eighteen.
2. What palindrome do you get by applying the reversing and adding procedure on the number 1973?

3. What is the Kaprekar procedure? Explain it in your own words. How many rounds of the Kaprekar
procedure does it take to reach the Kaprekar constant for the number 1973?
4. (a) Rewrite in the Indian place value system:

Six million nine hundred seven thousand four hundred eighteen.
(b) Rewrite in the International place value system:

Sixteen crore thirty-five lakh seven hundred ninety-five.
(c) Rewrite the number 783946675 in the Indian system of numeration, using commas.

5. (a) Find the sum of the largest and smallest four-digit palindromes.
(b) Find the difference between the largest and smallest four-digit palindromes.

Case Study Based Questions
1. On World Environment Day, i.e., 5 June, each student was asked either to
plant a tree or adopt a tree in their neighbourhood. The following is the record

of the trees planted: Neem trees – 2150; Ashoka trees – 1750; Mango trees
– 3225; Eucalyptus trees – 1255. Also, 3450 students adopted a tree in their
neighbourhood.
(a) How many trees were planted in all?

(b) Write the total number of trees planted in the Indian place value system.
(c) What is the difference between the two place values of the digit 8 in
the number obtained in (a)?

(d) How many more trees were planted than adopted by the children?
(e) If A = the sum of total trees planted
B = the number of trees adopted, and

C = the difference of A and B, then find 2A + B – C.

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