**Exercise - 2** **Exercise 2.1** 1. The population of a town is five crore sixty seven lakh fifty nine thousand nine hundred and forty five. Out of which two crore four lakh forty five thousand and nine are men and $2{,}13{,}07{,}280$ are women. Then find the population of children in that town. 2. What should be added to the product of $3245$ and $243$ to get the sum eight lakh ninety-nine thousand six hundred forty six? 3. Find the values of A, B, C and D in the example: $$\begin{array}{r l} \text{B 8 A 3} \\ -\; \text{5 D 2 C} \\ \hline \text{3 1 6 4} \end{array}$$ 4. Find the values $\text{a, b, c, d}$ and $\text{e}$ in the given example of multiplication: $$\begin{array}{r l} \text{b 2 a} \\ \times \quad \text{c 6} \\ \hline 1962 \\ +\; 1\text{e }0\text{ d } \text{x} \\ \hline 15042 \end{array}$$ 5. What is the digit at ten's place in the sum of the numbers $6, 60, 606, 6060, \dots, 606060606 =$ ? 6. $62\text{ Thousand} + 36\text{ Hundred} + 82\text{ Tens} + 246\text{ Units} = {?}$ 7. Write the number $70{,}59{,}080$ in the extended form of index form of $10$. 8. Write this number $3 \times 10^0 + 9 \times 10^3 + 8 \times 10^{-4} + 5 \times 10^{-2} + 1 \times 10^2 + 2 \times 10^{-3}$ in the simplest form. 9. Write the number $2095.403$ in the extended form of index form of $10$. 10. Find all three digit numbers formed by using digits $2, 8, 3$ without repetition. 11. Find the difference between the sum of the three greater number and the sum of the remaining numbers formed by using the digits $2, 9, 7$ without repetition. 12. Find the difference between the $6$ digit greatest number and the smallest number formed by using digits $2, 5, 0, 9$. 13. Write all three digit numbers formed by using digits $3, 8$ and $5$ while repetition is allowed. 14. Write all four digit numbers using digits $9, 0, 5, 7$ without repetition. 15. How many times is the greatest $6$ digit number to the three digit largest number?

उत्तर: $A = 9, B = 8, C = 9, D = 7$

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