Worksheet Solutions: Whole Numbers- 1

Whole Numbers- 1 Class 6 Worksheet Maths

Fill in the blanks

(a) ____ x 13 = 13 x 18
Sol:  18
Explanation: The correct answer is 18, as 18×13=13×18=234. This demonstrates the commutative property of multiplication, where changing the order of factors doesn't change the product.

(b) Whole numbers are closed under _______ and ________ operation.
Explanation: Whole numbers are closed under addition and multiplication. This means that when you add or multiply any two whole numbers, the result will always be a whole number. For example, adding 2 and 3 (both whole numbers) results in 5, and multiplying 4 and 5 (both whole numbers) results in 20.

(c) Division by ______ is not defined.
Sol: Zero
Explanation:  Division by zero leads to undefined behavior in mathematics. For instance, dividing any number by zero results in an undefined value because there is no number that, when multiplied by zero, equals another number.

(d) _______ is the identity for multiplication.
Sol: 1
Explanation: Division by zero leads to undefined behavior in mathematics. For instance, dividing any number by zero results in an undefined value because there is no number that, when multiplied by zero, equals another number.

(e) If ______ is added to a number, the sum will remain the same. Hence ______is called the __________ in the whole numbers.
Sol: 0, 0,Identity element for Addition.
Explanation: If 0 is added to a number, the sum will remain the same. Hence, 0 is called the identity element for addition in the whole numbers. Adding 0 to any number doesn't change its value, which demonstrates the additive identity property.

Match the columns

Question 1:

Question 2:

Ques 3: Seema got 99 marks in Math, 69 marks in English, and 91 in Science. Another student Rita got 92 marks in Math, 33 in English and 84 in Science. What are their total marks?
Ans:
Marks obtained by Seema:
Math = 99
English = 69
Science = 91
∴ Total marks obtained by Seema = 99 + 69 + 91 = 259
Marks obtained by Rita:
Math = 92
English = 33
Science = 84
So Total marks obtained by Rita = 92 + 33 + 84 = 209

Ques 4: Ramesh ordered 10 cartons of chocolates to distribute among the class. Each carton holds 20 boxes and each box has 12 chocolates. How many chocolates did Ramesh order altogether?
Ans:
2400 chocolates

Ques 5: Mukesh lives form a hostel which charges Rs 55 for Dinner and 45 for Lunch. Find the money he has to pay for seven days.
Ans:
Amount paid for lunch = 45
Amount paid for dinner = 55
Number of days = 7
Money paid by him in 7 days = 7 x (55 +45) = 700

Ques 6: Find the sum by suitable rearrangement:
(a) 837 + 208 + 363
(b) 1962 + 453 + 1538 + 647
Ans:
(a) 837 + 208 + 363 = (837 + 363) + 208
= 1200 + 208 = 1408
(b) 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647)
= 3500 + 1100 = 4600

Ques 7: Find the product by suitable rearrangement:
(a) 2 x 1768 x 50
(b) 4 x 166 x 25
(c) 8 x 291 x 125
(d) 625 x 279 x 16
(e) 285 x 5 x 60
(f) 125 x 40 x 8 x 25

Ans:
(a) 2 x 1768 x 50 = 2 x 50 x 1768
= 100 x 1768 = 176800
(b) 4 x 166 x 25 = 4 x 25 x 166
= 100 x 166 = 16600
(c) 8 x 291 x 125 = 8 x 125 x 291
= 1000 x 291 = 291000
(d) 625 x 279 x 16 = 625 x 16 x 279
= 10000 x 279 = 2790000
(e) 285 x 5 x 60 = 285 x 300 = 85500
(f) 125 x 40 x 8 x 25 = 125 x 8 x 40 x 25
= 1000 x 1000 = 1000000

Ques 8: A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs Rs 44 per litre, how much did he spend in all on petrol?
Ans:
Quantity of petrol filled on Monday = 40 l
Quantity of petrol filled on Tuesday = 50 l
Total quantity filled = (40 + 50) l
Cost of petrol (per l) = Rs 44
Total money spent = 44 × (40 + 50)
= 44 × 90 = Rs 3960

Ques 9: A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, how much money is due to the vendor per day?
Ans:
Quantity of milk supplied in the morning = 32 l
Quantity of milk supplied in the evening = 68 l
Total of milk per litre = (32 + 68) l
Cost of milk per litre = Rs 15
Total cost per day = 15 * (32 + 68)
= 15 * 100 = Rs 1500

Ques 10: If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
Ans:
If the product of 2 whole numbers is zero, then one of them is definitely zero.
For example, 0 * 2 = 0 and 17 * 0 = 0
If the product of 2 whole numbers is zero, then both of them may be zero.
0 * 0 = 0
However, 2 * 3 = 6
(Since numbers to be multiplied are not equal to zero, the result of the product will also be non-zero.)

Ques 11: If the product of two whole numbers is 1, can we say that one of both of them will be 1? Justify through examples.
Ans:
If the product of 2 numbers is 1, then both the numbers have to be equal to 1.
For example, 1 * 1 = 1
However, 1 * 6 = 6
Clearly, the product of two whole numbers will be 1 in the situation when both numbers to
be multiplied are 1.

Ques 12: How many whole numbers are there between 32 and 53?
Ans:
Whole numbers between 32 and 53 = 20 (53 − 32 − 1 = 20)
(33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52)

Ques 13: In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.
(a) 530, 503
(b) 370, 307
(c) 98765, 56789
(d) 9830415, 10023001
Ans:
(a) 530, 503
As 530 > 503,
503 is on the left side of 530 on the number line.
(b) 370, 307
As 370 > 307,
307 is on the left side of 370 on the number line.
(c) 98765, 56789
As 98765 > 56789,
56789 is on the left side of 98765 on the number line.
(d) 9830415, 10023001
Since 98, 30, 415 < 1, 00, 23, 001,
98,30,415 is on the left side of 1,00,23,001 on the number line.
Ques 14: Solve the following using distributive property.
(a) 234 x 13 + 234 x 7
Sol: 4680
Explanation: Using the distributive property, we can factor out 234 from both terms:
234×13+234×7=234×(13+7)=234×20=4680

(b) 405 + 405 x 29
Sol: 12150
Explanation: Applying the distributive property:
405+405×29=405×(1+29)=405×30=12150

(c) 3845 x 5 x 782 + 769 x 25 x 218
Sol: 19225000
Explanation: First, we can rearrange the terms to apply the distributive property:
(769×5)×5×782+769×25×218
=769×25×782+769×25×218
=769×25×(782+218)=769×25×1000=19225000

Ques 15: Write 5 successive numbers just after 4023.
Sol: 4024, 4025, 4026, 4027, 4028
Ques 16: Write the smallest and largest 6 digit whole number.
Sol:
Smallest - 100000
Largest - 999999

Ques 17: Write the smallest natural and smallest whole number.
Sol: The smallest natural number is 1 because natural numbers start from 1 and go up to infinity.

The smallest whole number is 0. Whole numbers include all natural numbers along with zero.

The document Whole Numbers- 1 Class 6 Worksheet Maths is a part of the Class 6 Course Mathematics (Maths) Class 6.
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Mathematics (Maths) Class 6

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FAQs on Whole Numbers- 1 Class 6 Worksheet Maths

 1. What are whole numbers?
Ans. Whole numbers are numbers that do not have any fractions or decimals. They include all positive integers starting from 0, such as 0, 1, 2, 3, etc.
 2. How do you add whole numbers?
Ans. To add whole numbers, simply line up the numbers vertically and add the digits in each place value column, starting from the rightmost column and carrying over any excess to the next column.
 3. Can whole numbers be negative?
Ans. No, whole numbers cannot be negative. They only include non-negative integers starting from zero.
 4. What is the difference between whole numbers and natural numbers?
Ans. Natural numbers are a subset of whole numbers and do not include zero. Whole numbers, on the other hand, include zero along with all the positive integers.
 5. How do you multiply whole numbers?
Ans. To multiply whole numbers, multiply the numbers as if they were all positive integers, ignoring the signs. The result will be a positive number if the number of negative numbers multiplied is even, and negative if it is odd.

Mathematics (Maths) Class 6

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