CBSE Class 6 Mathematics Numbers Place Value, Face Value and Number Names Worksheet Set 14

Answer: Digits are the ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 used to write all numbers.

Teacher's Note:
1. Every number is a group of digits.
2. For example, 2345 is written with four digits.

Answer: The smallest natural number is 1, and the smallest whole number is 0.

Teacher's Note:
1. Natural numbers start from 1.
2. Whole numbers are the natural numbers together with 0.

Answer: (a) 0. Whole numbers include 0, but natural numbers start from 1.

Teacher's Note:
1. Zero is the only whole number that is not a natural number.
2. Counting begins with 1.

Answer: (d) 40 000. In 25,49,138 the digit 4 is in the ten-thousands place, so its place value is 4 × 10 000.

Teacher's Note:
1. Count places from the right: ones, tens, hundreds, thousands, ten-thousands.
2. Then multiply the digit by the place value.

Answer: (c) 9049800. All have 7 digits and start 904; at the thousands place 9 is greater than 0, and among 9049008, 9049080 and 9049800 the hundreds digit is largest in 9049800.

Teacher's Note:
1. Compare digits from the left.
2. The first difference decides the greater number.

Answer: 500 000 903 (50,00,00,903 in the Indian system).

Teacher's Note:
1. Fifty crore is 50,00,00,000 and the remaining digits fill the last three places.
2. Put zeros in empty places.

Answer: 40 000

Teacher's Note:
1. The successor is one more than the number.
2. 39 999 + 1 = 40 000.

Answer: 102

Teacher's Note:
1. 100 has repeated zeros and 101 repeats 1.
2. So the smallest such number is 102.

Answer: (a) 77,000,770 = seventy-seven million seven hundred seventy.
(b) 52,50,54,000 = fifty-two crore fifty lakh fifty-four thousand.

Teacher's Note:
1. The International system groups by three digits.
2. The Indian system groups the first three digits, then by two.

Answer: (a) Six hundred fifty-two crore one lakh twenty-seven thousand five hundred sixty-two.
(b) Thirty-two million six hundred four thousand five hundred nine.

Teacher's Note:
1. The first number is in the Indian system.
2. The second is in the International system.

Answer: (a) 565 003
(b) 30 607 408

Teacher's Note:
1. Fill every place; use 0 for a place that is empty.
2. Check the number of digits at the end.

Answer: Smallest 3-digit number = 100, largest 2-digit number = 99. The difference is 100 − 99 = 1.

Teacher's Note:
1. Consecutive numbers differ by 1.
2. This is a quick check of the idea of successor.

Answer: In 2549138 (25,49,138), 5 is in the lakhs place: place value 500 000, face value 5.
In 83471936, 7 is in the ten-thousands place: place value 70 000, face value 7.

Teacher's Note:
1. Face value is the digit itself.
2. Place value is the digit multiplied by the value of its place.

Answer: 6 is in the hundreds place, so the place value is 600 and the face value is 6. Sum = 600 + 6 = 606.

Teacher's Note:
1. Locate the digit's position first.
2. Then add its two values.

Answer: (a) 200000 + 40000 + 5000 + 300 + 80 + 7.
(b) 1000000 + 500000 + 9000 + 700 + 60 + 4.

Teacher's Note:
1. Write each digit times its place value.
2. Skip the places that have 0.

Answer: (a) 7569 (b) 960 101 (c) 20 000 270.

Teacher's Note:
1. Count the digits of the largest part to see how many digits are needed.
2. Fill missing places with 0.

Answer: 1 000 023. It has 7 digits and uses exactly four different digits (1, 0, 2, 3).

Teacher's Note:
1. Use as many zeros as possible.
2. The first digit must not be 0.

Answer: Greatest = 7521; smallest = 1257.

Teacher's Note:
1. Arrange in decreasing order for the greatest.
2. Arrange in increasing order for the smallest.

Answer: The 5 in thousands has place value 5000 and the 5 in ones has place value 5. Product = 5000 × 5 = 25 000.

Teacher's Note:
1. Read the digits in 6,05,735 carefully.
2. Multiply the two place values.

Answer: The first digit is 8 or 5. With 8: 800, 805, 808, 850, 855, 858, 880, 885, 888. With 5: 500, 505, 508, 550, 555, 558, 580, 585, 588. There are 18 numbers.

Teacher's Note:
1. A 3-digit number cannot begin with 0.
2. Two choices for the first digit and three for each of the others give 2 × 3 × 3 = 18.

Answer: The greatest is 99 999, and the smallest is 19 000. Difference = 99 999 − 19 000 = 80 999.

Teacher's Note:
1. In the smallest number the first digit is 1 and the rest are 0.
2. The second digit from the left is the thousands place.

Answer: New population = 150 800 + 4290 = 155 090. Adults = 62 567 + 61 296 = 123 863. Children = 155 090 − 123 863 = 31 227.

Teacher's Note:
1. Find the total first.
2. Then subtract the adults.

Answer: Largest 5-digit even number = 99 998. 987 632 − 99 998 = 887 634. Smallest 4-digit odd number = 1001. 887 634 + 1001 = 888 635.

Teacher's Note:
1. Identify both special numbers first.
2. Do the operations in the order given.

Answer: Given away = 2,89,36,555 + 1,04,21,791 = ₹3,93,58,346. Son's share = 5,56,38,579 − 3,93,58,346 = ₹1,62,80,233.

Teacher's Note:
1. Add the amounts given first.
2. Then subtract from the total.

Answer: The difference of multipliers is 53 − 35 = 18. Excess = 5842 × 18 = 105 156.

Teacher's Note:
1. 5842 × 53 − 5842 × 35 = 5842 × 18.
2. Use the distributive idea instead of two long multiplications.

Answer: Greatest number = 543 210. 6353 × 30 = 190 590. 543 210 − 190 590 = 352 620.

Teacher's Note:
1. Use each digit once for the greatest number.
2. Do the multiplication before the subtraction.

Answer: Cost = 50 × 1500 = ₹75 000. Remaining = 98 500 − 75 000 = ₹23 500.

Teacher's Note:
1. Find the total cost first.
2. Subtract it from the money he had.