Given digits are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Write the smallest 9-digit number and the greatest 8-digit number using these digits without repetition. Find the difference between them.

Here are the solutions for the questions: c) 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the given digits. (i) Write the smallest number of 9-digits formed from the given digits. Step 1: Identify the smallest 9 distinct digits from the given set. The smallest 9 digits are 0, 1, 2, 3, 4, 5, 6, 7, 8. Step 2: Arrange these digits to form the smallest 9-digit number. To form the smallest number, the smallest non-zero digit must be in the highest place value. So, 1 comes first, followed by 0, then the remaining digits in ascending order. The smallest 9-digit number is 102,345,678. 102,345,678 (ii) Write the greatest number of 8-digits formed from the given digits. Step 1: Identify the greatest 8 distinct digits from the given set. The greatest 8 digits are 9, 8, 7, 6, 5, 4, 3, 2. Step 2: Arrange these digits to form the greatest 8-digit number. To form the greatest number, arrange the digits in descending order. The greatest 8-digit number is 98,765,432. 98,765,432 (iii) Find the difference of the numbers formed in (i) and (ii). Step 1: Subtract the number from (ii) from the number from (i). 102,345,678 - 98,765,432 Step 2: Perform the subtraction. 102,345,678 - 98,765,432 = 3,580,246 The difference is 3,580,246. a) If x is at tens place and y is at ones place, write the number formed by these digits. The number formed is the sum of the place values of the digits. 10x + y The number is 10x + y. b) If a is at hundreds place, b is at tens place and c is at ones place, write the number formed by these digits. The number formed is the sum of the place values of the digits. 100a + 10b + c The number is 100a + 10b + c. c) If p is at thousands place, q is at hundreds place, r is at tens place and s is at ones place, write the number formed by these digits. The number formed is the sum of the place values of the digits. 1000p + 100q + 10r + s The number is 1000p + 100q + 10r + s. Creative section - B The mobile number of Sunayana's father is 9851086083. (i) What is the place value of 5 in the number? Step 1: Identify the position of the digit 5 in the number 9851086083. The digit 5 is in the hundred millions place. Step 2: Calculate the place value. Place value of 5 = 5 × 100,000,000 = 500,000,000. The place value of 5 is 500,000,000. (ii) What is the face value of 5 in the number? The face value of a digit is the digit itself. The face value of 5 is 5. (iii) Find the difference between the place value and face values of 5 in the number. Step 1: Use the place value and face value found in (i) and (ii). Place value = 500,000,000 Face value = 5 Step 2: Calculate the difference. 500,000,000 - 5 = 499,999,995 The difference is 499,999,995. Last free one today — make it count tomorrow, or type /upgrade for unlimited.