QUESTION BANK CLASS 6 WHOLE NUMBERS
- Which is the smallest whole number?
b) 1
c) 2
d) 4
d) 4
Which of the following is not represent
0?
a) 1+0 b) 0 x 0 c) d)
- The smallest whole number is
b) 2
c) 3
d) 0
- The predecessor of 94 is
b) 93
c) 91
d) 95
- One Crore = _________ Million.
b) 100
c) 1
d) 1000
- 9999 + 1 = ________
b) 1000
c) 10000
d) 100000
- The successor of 100199 is
b) 100990
c) 100200
d) 10200
- The predecessor of 10000 is
b) 9999
c) 100001
d) 10001
- The Smallest six digit number is ____
b) 99999
c) 100000
d) 1000000
- The whole number _____ lies between 11 and 12.
b) 11
c) 13
d) 14
- The smallest whole number is
b)2
c)3
d)0
- The predecessor of 94 is
b)93
c)91
d)91
(d) 625 × 279 × 16 (e) 285 × 5 × 60 (f) 125 × 40 × 8 × 25
- State –True or false The whole number 13 lies between 11 and 12
- The whole number _____ lies between 10 and 12.
- 999 + 1=____
- Write the next three natural numbers after 10999.(3M)
- How many whole numbers are there between 32 and 53? (2m)
- Give rough estimate(By rounding off to nearest hundreds) 8325 – 491
- Find the sum by suitable rearrangement:- 837+208+363
- Find the product using suitable property:- 854x102.
Write True or False. All natural numbers are whole numbers.
How many whole numbers are there between 32 and 53?
Find the product using suitable properties: 854 x 102
Estimate of 578 x 161
EXERCISE 2.1
- Write the next three natural numbers after 10999.
- 2. Write the three whole numbers occurring just before 10001.(3M)
- 3. Which is the smallest whole number?
- 4. How many whole numbers are there between 32 and 53? (2M)
- 5. Write the successor of : (a) 2440701 (b) 100199 (c) 1099999 (d) 2345670
- 6. Write the predecessor of : (a) 94 (b) 10000 (c) 208090 (d) 7654321
- Find the product using suitable properties: 738 x 103
- 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.
- 8. Which of the following statements are true (T) and which are false (F) ?
- (a) Zero is the smallest natural number. (b) 400 is the predecessor of 399.
- (c) Zero is the smallest whole number. (d) 600 is the successor of 599.
- (e) All natural numbers are whole numbers.
- (f) All whole numbers are natural numbers.
- (g) The predecessor of a two digit number is never a single digit number.
- (h) 1 is the smallest whole number.
- (i) The natural number 1 has no predecessor.
- (j) The whole number 1 has no predecessor.
- (k) The whole number 13 lies between 11 and 12.
- (l) The whole number 0 has no predecessor.
- (m) The successor of a two digit number is always a two digit number.
EXERCISE 2.2
- Add the numbers 234, 197 and 103.
- Find 14 + 17 + 6 in two ways.
- Find 12 × 35
- Find 8 × 1769 × 125
- The school canteen charges ₹ 20 for lunch and ₹4 for milk for each day. How much money do you spend in 5 days on these things?
- Find 12 × 35 using distributivity.
- Simplify: 126 × 55 + 126 × 45
- Find the sum by suitable rearrangement:
- 2. Find the product by suitable rearrangement:
(d) 625 × 279 × 16 (e) 285 × 5 × 60 (f) 125 × 40 × 8 × 25
- 3. Find the value of the following (a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
- 4. Find the product using suitable properties.
- 5. A taxidriver 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 ` 44 per litre, how much did he spend in all on petrol?
- 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 ₹45 per litre, how much money is due to the vendor per day?
- 7. Match the following:
- (i) 425 × 136 = 425 × (6 + 30 +100) (a) Commutativity under multiplication.
- (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition.
- (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition.
EXERCISE 2.3
- Which of the following will not represent zero: (a) 1 + 0 (b) 0 × 0 (c) 0/2 (d) (10 - 10) / 2
- 2. If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
- 3. If the product of two whole numbers is 1, can we say that one or both of them will be
- 1? Justify through examples.
- 4. Find using distributive property :
- (a) 728 × 101 (b) 5437 × 1001 (c) 824 × 25 (d) 4275 × 125 (e) 504 × 35
- 5. Study the pattern :
- 1 × 8 + 1 = 9 1234 × 8 + 4 = 9876
- 12 × 8 + 2 = 98 12345 × 8 + 5 = 98765
- 123 × 8 + 3 = 987
- Write the next two steps. Can you say how the pattern works?
- (Hint: 12345 = 11111 + 1111 + 111 + 11 + 1)
EXTRA TRY THESE QUESTIONS
- Write the predecessor and successor of 19; 1997; 12000; 49; 100000.
- Is there any natural number that has no predecessor?
- Is there any natural number which has no successor? Is there a last natural number?
- Are all natural numbers also whole numbers?
- Are all whole numbers also natural numbers?
- Which is the greatest whole number?
- Find 4 + 5; 2 + 6; 3 + 5 and 1+6 using the number line.
- Find 8 – 3; 6 – 2; 9 – 6 using the number line.
- Find 2 × 6; 3 × 3; 4 × 2 using the number line.
- 1. Which numbers can be shown only as a line?
- 2. Which can be shown as squares?
- 3. Which can be shown as rectangles?
- 4. Write down the first seven numbers that can be arranged as triangles,
- e.g. 3, 6, ...
- 5. Some numbers can be shown by two rectangles, for example, 3X4; 2X6
- Give at least five other such examples.
POINTS TO REMEMBER
- The natural numbers along with zero form the collection of WHOLE NUMBERS.
- Every natural number has a successor.
- Every whole number has a successor.
- Every whole number except zero has a predecessor.
- All natural numbers are whole numbers, but all whole numbers are not natural numbers
- Every natural number except 1 has a predecessor.
- 1. The numbers 1, 2, 3,... which we use for counting are known as natural numbers.
- 2. If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.
- 3. Every natural number has a successor. Every natural number except 1 has a predecessor.
- 4. If we add the number zero to the collection of natural numbers, we get the collection of whole numbers. Thus, the numbers 0, 1, 2, 3,... form the collection of whole numbers.
- 5. Every whole number has a successor. Every whole number except zero has a predecessor.
- 6. All natural numbers are whole numbers, but all whole numbers are not natural numbers.
- 7. We take a line, mark a point on it and label it 0. We then mark out points to the right of 0, at equal intervals. Label them as 1, 2, 3,.... Thus, we have a number line with the whole numbers represented on it. We can easily perform the number operations of addition, subtraction and multiplication on the number line.
- 8. Addition corresponds to moving to the right on the number line, whereas subtraction corresponds to moving to the left. Multiplication corresponds to making jumps of equal distance starting from zero.
- 9. Adding two whole numbers always gives a whole number. Similarly, multiplying two
- whole numbers always gives a whole number. We say that whole numbers are closed under addition and also under multiplication. However, whole numbers are not closed under subtraction and under division.
- 10. Division by zero is not defined.
- 11. Zero is the identity for addition of whole numbers. The whole number 1 is the identity for multiplication of whole numbers.
- 12. You can add two whole numbers in any order. You can multiply two whole numbers inany order. We say that addition and multiplication are commutative for whole numbers.
- 13. Addition and multiplication, both, are associative for whole numbers.
- 14. Multiplication is distributive over addition for whole numbers.
- 15. Commutativity, associativity and distributivity properties of whole numbers are useful in simplifying calculations and we use them without being aware of them.
- 16. Patterns with numbers are not only interesting, but are useful especially for verbal calculations and help us to understand properties of numbers better.
- the number 1 has no predecessor in natural numbers
- The natural numbers along with zero form the collection of whole numbers.
- The distance between these points labelled as 0 and 1 is called unit distance.
- Out of any two whole numbers, the number on the right of the other number is the greater number.
- We can also say that whole number on left is the smaller number.
- sum of any two whole numbers is a whole number i.e. the collection of whole numbers is closed under addition. This property is known as the closure property for addition of whole numbers
- whole numbers is closed under multiplication
- Whole numbers are closed under addition and also under multiplication
- The whole numbers are not closed under subtraction and division.
- Division of a whole number by 0 is not defined.
- Addition is commutative for whole numbers. This property is known as commutativity for addition.
- multiplication is commutative for whole numbers
- addition and multiplication are commutative for whole numbers.
- Subtraction is not commutative for whole numbers.
- Zero is called an identity for addition of whole numbers or additive identity for whole numbers.
- Zero has a special role in multiplication too. Any number when multiplied by zero becomes zero!
- 1 is the identity for multiplication of whole numbers or multiplicative identity for whole numbers.
- Every number can be arranged as a line;
- The number 6 can be shown as l l l
- a rectangle
- Some numbers like 4 or 9 can also be arranged as squares;
- Some numbers can also be arranged as triangles.3,6
- (a) 117 + 9 = 117 + 10 – 1 = 127 – 1 = 126
- (b) 117 – 9 = 117 – 10 + 1 = 107 + 1 = 108
- (c) 117 + 99 = 117 + 100 – 1 = 217 – 1 = 216
- (d) 117 – 99 = 117 – 100 + 1 = 17 + 1 = 18
(a) 84 × 9 = 84 × (10 – 1)
- (b) 84 × 99 = 84 × (100 – 1)
- (c) 84 × 999 = 84 × (1000 – 1)
- The following pattern suggests a way of multiplying a number by 5 or 25 or 125.
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