Number System — Complete Exam Mastery Guide · Chapter 5
Solved Examples
Example 1: In the number 8,459, find the place value and face value of 4. - Face value of 4 = 4 - Position of 4 is hundreds place → Place value = 4 × 100 = 400
Example 2: In the number 3,07,215, find the difference between the place value and face value of 7. - Digits: 3(lakhs) 0(ten-thousands) 7(thousands) 2(hundreds) 1(tens) 5(units) - Place value of 7 = 7 × 1000 = 7000 - Face value of 7 = 7 - Difference = 7000 − 7 = 6993
Example 3: Find the sum of the place values of both 5’s in the number 55,050. - Digits: 5(ten-thousands), 5(thousands), 0(hundreds), 5(tens), 0(units) - Place values: 5×10000 = 50000; 5×1000 = 5000; 5×10 = 50 - Sum of place values of the digit 5 appearing thrice = 50000 + 5000 + 50 = 55,050
Example 4: Find the sum of the place values of the digits 7 and 9 in the number 7,28,943. - Digits: 7(lakhs), 2(ten-thousands), 8(thousands), 9(hundreds), 4(tens), 3(units) - Place value of 7 = 7 × 1,00,000 = 7,00,000 - Place value of 9 = 9 × 100 = 900 - Sum = 7,00,000 + 900 = 7,00,900
Example 5 (Missing-digit variant): The difference between the place value and the face value of a digit standing in the hundreds place of a number is 693. Find the digit. - Let the digit be d. Place value = d × 100; face value = d. - Difference = 100d − d = 99d - 99d = 693 → d = 693 ÷ 99 = 7 - Check: place value of 7 in the hundreds place = 700; face value = 7; difference = 700 − 7 = 693 ✓
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1.This question is based on the five, three-digit numbers given below. (Left) 128 945 371 539 276 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE - All operations to be done from left to right. What will be the resultant if the second digit of the highest number is added to the third digit of the lowest number.15166
2.This question is based on the five, three-digit numbers given below. (Left) 458 625 751 359 245 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) If all the numbers are arranged in descending order, then the position of how many numbers will remain unchanged?
3.This question is based on the five, three-digit numbers given below. (Left) 593 784 358 631 296 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE - All operations to be done from left to right. What will be the resultant, if the third digit of the highest number is added to the second digit of the lowest number?
4.This question is based on the five, three-digit numbers given below. (Left) 715, 906, 570, 853, 418 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) Note: All operations to be done from left to right. What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number?
5.This question is based on the five, three-digit numbers given below. (Left) 700 496 723 316 639 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE - All operations to be done from left to right. What will be the resultant if the second digit of the highest number is subtracted from the third digit of the lowest number?
6.This question is based on the five, three-digit numbers given below. (Left) 453 125 410 183 473 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the third digit of the highest number is added to the third digit of the lowest number?
7.This question is based on the five, three-digit numbers given below. B y (Left) 254 236 287 896 814 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number?
8.This question is based on the five, three-digit numbers given below. (Left) 284 286 297 213 246 273 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the third digit of the highest number is added to the third digit of the lowest number?
9.This question is based on the five, three-digit numbers given below. (Left) 627 543 658 719 482 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the third digit of the highest number is multiplied with the second digit of the lowest number?
10.This question is based on the five, three-digit numbers given below. (Left) 548 658 254 369 714 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the second digit of the second highest number is multiplied with the the third digit of the lowest number?