Class 6 Operations on whole Numbers Exercise 4.2-2

\begin{array}{l} \text {Q4. What is the difference between the largest number of five digits } \\ \text {and the smallest number of six digits? } \\ \\\text {Sol. We know that the largest number of five digits is 99999.} \\ \text {The smallest number of six digits is 100000.} \\ \therefore \text {Difference between the smallest number of 6 digits and largest number of 5 digits} \\ =100000-99999=1 \\ \\\text {Q5. Find the difference between the largest number of 4 digits } \\ \text {and the smallest number of 7 digits.} \\\text {Sol. We know that the largest number of 4 digits is 9999.} \\ \text {The smallest number of 7 digits is 1000000.} \\ \therefore \text {Difference between the smallest number of 7 digits and largest number of 4 digits} \\ =1000000-9999=990001 \\ \\\text {Q6. Rohit deposited Rs. 125000 in his savings bank account. Later he } \\ \text {withdrew Rs 35425 from it. How much money was left in his account? } \\ \\\text {Sol. Money deposited in savings bank account = Rs. } 125000 \\ \text {Money withdrawn =Rs. } 35425 \\\therefore \text {Money left in account }=125000-35425= \text {Rs. } 89575 \\ \\\text {Q7. The population of a town is 96209. If the number of men is 29642 } \\ \text {and that of women is 29167, determine the number of children. } \\ \\\text {Sol. Give that the population of a town } =96209 \\ \text {Men population }=29642 \\ \text {Women population } =29167 \\ \text {Total number of men and women } =29642+29167=58809 \\ \therefore \text {Number of children } \\ = \text {Population of a town } – \text {Total number of men and women} \\ =96209-58809=37400 \\ \text {Hence, there are 37400 children in the town.} \\ \\\text {Q8. The digits of 6 and 9 of the number 36490 are interchanged. Find the } \\ \text {difference between the original number and the new number. } \\ \\\text {Sol. Given Number is 39460. } \\ \text {Number after interchanging digits of 6 and 9} =36490 \\ \text {Difference between original and new number} =39460-36490=2790 \\ \\\text {Q9. The population of a town was 59000. In one year it was increased } \\ \text {by 4536 due to new births. However, 9218 persons died or left the town } \\ \text {during the year. What was the population at the end of the year? } \\ \\\text {Sol. Population of a town }=59000 \\ \text {Increase in polulation} =4536 \\ \text {Decrease in polulation due ot death or people who left town} =9218 \\ \text {Population left at the end of year }=59000+ 4536 -9218=54318 \\ \therefore \text {The population left at the end of the year is 54318.} \\ \end{array}