Large Numbers Class 5 Worksheet Maths

Question 1: Write the place value of:

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

Sol: The place value of each digit in the number 8,50,019 presented in a simplified tabular form below
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: The place value of each digit in the number 6,00,003 presented in a simplified tabular form below

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 - 0134

Sol: To write the Greatest number and Smallest number using four different numbers 4,0,3,1

• Arrange the given numbers from largest to the smallest as given below
  The largest digit is 4.
  The next largest is 3.
  Then we have 1.
  Finally, 0 is the smallest.
• For Greatest Number, Arrange the digits from largest to the smallest in order
  therefore, Greatest number = 4310
• For Smallest Number, Arrange the digits from smallest to the largest in order
  therefore, Smallest Number= 0130

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: As 7,30,052 is a six digit number and 25,194 is a five digit number.
Hence, 7,30,052 is greater than 25,194.

2. 38,569  <  1,30,056

Sol: As 1,30,056 is a six digit number and 38,569 is a five digit number.
Hence, 1,30,056 is greater than 38,569.

3. 4,37,295  <  4,37,564

Sol: In this case both 4,37,295 and 4,37,564 are six digit numbers,
Hence in this case we will start looking at the digits

• The first digits are the same: 4 (in both numbers).
• The second digits are also the same: 3 (in both numbers).
• The third digits are the same: 7 (in both numbers).
  Look at the Fourth Digit
• In 4,37,295 the fourth digit is 2
• In 4,37,564 the fourth digit is 5.
  Here, 2 is less than 5
  therefore, 4,37,564 is greater than 4,37,295

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 Crores 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 Lack 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: 50806105
2.  90,00,00,000 + 3,00,000 + 70,000 + 300 + 2
Ans: 900370302
3. 7,00,00,000 + 50,00,000 + 3,00,000 + 5,000 + 200 + 3
Ans: 75305203

Hint: Simply add all the numbers and you will get the solution.

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 : We can always follow the following method to find the greatest number.

• Count the Digits:
  All numbers have 9 digits. 
• Compare the First Digit:
  The first number 4,30,17,865 starts with 4.
  The second number 3,41,08,756 starts with 3.
  The third number 4,13,08,765 starts with 4.
  The fourth number 3,01,45,678 starts with 3.
  Since 4 is greater than 3, we can already see that the numbers starting with 4 are likely to be greater.
• Compare the Numbers Starting with 4:
  Now, compare 4,30,17,865 and 4,13,08,765:
  The second digit of 4,30,17,865 is 3.
  The second digit of 4,13,08,765 is 1.
  Since 3 is greater than 1, 
  Hence 4,30,17,865 is greater.

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: We can always follow the following method to find the greatest number.

• Count the Digits:
  All four numbers have 9 digits
• .Compare the First Digit:
  4,30,17,865 starts with 4.
  3,41,08,756 starts with 3.
  4,13,08,765 starts with 4.
  3,01,45,678 starts with 3.
  Since 4 is greater than 3, we can focus on the numbers starting with 4.
• Compare the Two Numbers Starting with 4:
  4,30,17,865 (first digit 4, second digit 3)
  4,13,08,765 (first digit 4, second digit 1)
  Now, compare the second digits:
  The second digit of 4,30,17,865 is 3.
  The second digit of 4,13,08,765 is 1.
  Since 3 is greater than 1
  The greatest number among the group is 4,30,17,865.

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 - 012578
2.  8, 3, 9, 0, 4, 7
Ans: Greatest - 987430; Smallest - 034789
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: As we can see in the question
First Number = 43,12,563
Second Number = 43,13,563
Third Number = 43,14,563
Here we observed a pattern that the numbers in the middle are changing,
Hence the next three numbers would be 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: As we can see in the question
First Number = 2,19,54,684
Second Number = 2,19,54,584 

Third Number =  2,19,54,484
Here we observed a pattern that the numbers in the end are changing and decreasing by 100
Hence the next three numbers would be 2,19,54,384 ; 2,19,54,284 ; 2,19,54,184

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
Let us understand this with the help of rounding off to nearest 10,Firstly look at the ones place of the number, 
1. If it is less than 5, it will Round Down.
2. If it is equal to or more than 5, it will Round Up.

• Round Up: If you are rounding up, add 1 to the tens place digit and change the last digit to 0.
  For Example: Round off 47 to the nearest 10.
  Ans: Now in this question , As we see 7 on the ones place of the number.
  So, This number will Round Up,
  So, Add one to the Tens Place and 0 at the end
  Rounded Up Number = 5

• Round Down: If you are rounding down, just change the last digit to 0.
  For Example: Round off 43 to the nearest 10.
  Ans: Now in this question , As we see 3 on the ones place of the number.
  So, This number will Round Down,
  So, we just have to change the last digit to 0 at the end.
  Rounded Up Number = 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: There can be two cases where round off to nearest 10 can result in 320.
Case 1: Rounding up 315 to 319
Case 2: Rounding down 321 to 325

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

Ans: 2560 hundred are there in 2,56,000.

= 2560

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

Ans: Yes, Place value and face value are always equal in one place. 
The face value of a number is the value of the digit or numeral itself.

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 in tens ,2nd 5 in ten lakh

Sol:  In 5029653, there are

3 Ones ,5 tens ,6 hundred ,9 thousand , 2 ten thousand , 0 lakh , 5 ten lakh

therefore , one 5 is at tens place and the other one is at ten lakh.