Large Numbers Worksheet - Class 5 Mathematics | FREE PDF Download

Q1: Write the place value of:

1. 8 in 8,50,019
Ans: The place value of 8 is 8,00,000

Sol: In the number 8,50,019, the digits from left to right represent places starting from ten lakh, lakh, ten thousand, thousand, hundred, ten and one.

The digit 8 is in the ten-lakh place. Therefore its place value = 8 × 1,00,000 = 8,00,000.
Hence, the place value for 8 is 8,00,000.

2. 3 in 6,00,003
Ans: The place value of 3 in the digit 6,00,003 is 3

Sol: In 6,00,003, the digits from right to left are units, tens, hundreds, thousands, ten-thousands, lakhs and ten-lakhs.

The digit 3 is at the units (ones) place. Therefore its place value = 3 × 1 = 3.
Hence, the place value for 3 is 3.

Q 2: Write the greatest and the smallest number (without repeating a digit) from the digits 4, 0, 3 and 1.
Ans: Greatest - 4310 ; Smallest - 1034

Sol: To form the greatest and smallest 4-digit numbers using digits 4, 0, 3, 1 without repeating any digit:

• Greatest number: Arrange digits in descending order: 4, 3, 1, 0 → 4310.
• Smallest number: Arrange digits in ascending order but do not put 0 at the beginning. The smallest non-zero digit is 1, then place 0 and remaining digits in order: 1, 0, 3, 4 → 1034.

Q 3: Fill in the blanks, using > or < :

1. 7,30,052 _____ 25,194
2.     38,569 _____ 1,30,056
3. 4,37,295 _____ 4,37,564

Ans:
1. 7,30,052  >  25,194

Sol: 7,30,052 is a six-digit number while 25,194 is a five-digit number. Any six-digit number is greater than any five-digit number.
Hence, 7,30,052 > 25,194.

2. 38,569  <  1,30,056

Sol: 1,30,056 is a six-digit number and 38,569 is a five-digit number. Therefore the six-digit number is greater.
Hence, 38,569 < 1,30,056.

3. 4,37,295  <  4,37,564

Sol: Both numbers are six-digit numbers and their first three digits are the same: 4, 3 and 7. Compare the next digit:

• Fourth digit of 4,37,295 is 2.
• Fourth digit of 4,37,564 is 5.

Since 2 < 5, 4,37,295 < 4,37,564.

Q 4: Write the following numbers in words:

1. 4,30,01,925
Ans: Four crore thirty lakh one thousand nine hundred twenty-five.
2. 73,25,10,201
Ans: Seventy-three crore twenty-five lakh ten thousand two hundred one
3. 60,01,08,800
Ans: Sixty crore one lakh eight thousand eight hundred.
4. 68,39,201
Ans: Sixty-eight lakh thirty-nine thousand two hundred one.

Q 5: Write the following numbers in short form:

1.  5,00,00,000 + 8,00,000 + 6,000 + 100 + 5
Ans: 50,806,105
2.  90,00,00,000 + 3,00,000 + 70,000 + 300 + 2
Ans: 900,370,302
3. 7,00,00,000 + 50,00,000 + 3,00,000 + 5,000 + 200 + 3
Ans: 75,305,203

Hint: Add the values place-wise. Example for the first sum:
5,00,00,000 + 8,00,000 = 50,800,000
50,800,000 + 6,000 = 50,806,000
50,806,000 + 100 + 5 = 50,806,105.

Q 6: Find the greatest number of each group:

1.  4,30,17,865;  3,41,08,756;  4,13,08,765;  3,01,45,678
Ans: Greatest Number - 4,30,17,865

Sol: All numbers have nine digits. Compare the first digit of each number:
Numbers starting with 4 are larger than those starting with 3. Between the two that start with 4, compare the second digit: 4,30,17,865 has 3 as the second digit while 4,13,08,765 has 1. Since 3 > 1, 4,30,17,865 is the greatest.

2.  4,30,17,865;  3,41,08,756;  4,13,08,765;  3,01,45,678
Ans: Greatest Number- 4,30,17,865

Sol: Same reasoning as above: compare digit by digit from left to right. The number 4,30,17,865 is the largest.

Q 7: Write the greatest and the smallest number (without repeating a digit) from the following digits:

Hint: Follow the same method as shown in Q 2

1. 7, 5, 2, 1, 0, 8
Ans: Greatest - 875210, Smallest - 102578

2.  8, 3, 9, 0, 4, 7
Ans: Greatest - 987430; Smallest - 304789

3. 4, 3, 8, 1, 5, 6
Ans: Greatest - 865431; Smallest - 134568

Q 8: Observe the pattern and write next three numbers :

1.  43,12,563 ; 43,13,563 ; 43,14,563 ; _____ ; _____ ; _____
Ans: 43,12,563 ; 43,13,563 ; 43,14,563 ; 43,15,563 ; 43,16,563 ; 43,17,563

Sol: The middle two digits increase by 1 each time (12, 13, 14...), so the next three are 15, 16 and 17 giving 43,15,563 ; 43,16,563 ; 43,17,563.

2. 2,19,54,684 ; 2,19,54,584 ; 2,19,54,484 ; _____ ; _____ ; _____
Ans: 2,19,54,684 ; 2,19,54,584 ; 2,19,54,484 ; 2,19,54,384 ; 2,19,54,284 ; 2,19,54,184

Sol: The last three-digit group decreases by 100 each time: 684, 584, 484, then 384, 284, 184. So fill in those three numbers.

Q 9: Fill in the blanks:

1. 100 thousands = ______ lakh
Ans: 100 thousands = 1 lakh
2. 10 crores = _____ millions
Ans: 10 crores = 100 millions

Q 10: Solve the following

1.  Round off 43, 98 and 236 to the nearest ten.
2. After rounding off, add them. 
3. Round off the sum to the nearest hundred.

Ans: Following are the answers to the given questions
1. After rounding off 43, 98 and 236 to the nearest 10 we get = 40, 100 and 240
2. Adding: 40 + 100 + 240 = 380
3. 380 rounded to the nearest hundred = 400

How Rounding off Works
To round to the nearest 10, look at the ones digit:
1. If it is less than 5, round down (change ones digit to 0).
2. If it is 5 or more, round up (add 1 to the tens digit and change ones digit to 0).

• Example - Round Up: 47 → ones digit 7 (≥5), so add 1 to tens (4 → 5) and put 0 → 50.
• Example - Round Down: 43 → ones digit 3 (<5), so change last digit to 0 → 40.

Q 11: A 3-digit number was rounded off to the nearest ten and the result was 320. Find the interval of the original number.

Ans: The original number lies between 315 and 324, inclusive.

Sol: Numbers that round to 320 when rounded to the nearest ten are those whose ones digit makes them round down to 320 (320-324) or round up to 320 (315-319). Combining these gives all integers from 315 up to 324 inclusive.

Question 12: How many hundreds are there in 2,56,000?

Ans: 2,560 hundreds are there in 2,56,000.

Because 2,56,000 ÷ 100 = 2,560.

Question 13: Place-value of a digit can never be less than its face-value. Is it true?

Ans: Yes. The place value of a digit is its face value multiplied by the value of the place (1 for units, 10 for tens, 100 for hundreds, etc.). Since the place multiplier is always at least 1, the place value is never less than the face value. It is equal to the face value only when the digit is in the units place.

Question 14: Write twelve million, one lakh six thousand, three hundred seven in figures.

Ans: 12,106,307

Question 15: Find the sum of the place values of two 5s in 50,29,653.

Ans: 5,000,050

Sol: In 50,29,653 the digits from right are: ones 3, tens 5, hundreds 6, thousands 9, ten-thousands 2, lakhs 0, ten-lakhs 5.

One 5 is at the tens place → place value = 5 × 10 = 50.
The other 5 is at the ten-lakh place → place value = 5 × 1,00,000 = 5,00,000 × 10 = 5,000,000 (ten-lakh is 10 × lakh).
Sum = 5,000,000 + 50 = 5,000,050.