Mathematics
Fill in the blanks:
(i) A whole number is less than all those whole numbers that lie to its …. on the number line.
(ii) One more than a given whole is called its ….
(iii) There is at least one whole number between two …. whole numbers.
(iv) 738 × 335 = 738 × (300 + 30 + ….)
(v) If a is a non-zero whole number and a × a = a, then a = ….
(vi) …. is the only whole number which is not a natural number.
(vii) The additive identity in whole numbers is ….
(viii) …. is the successor of the largest 3-digit number.
(ix) Division of a whole number by …. is not defined.
Whole Numbers
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Answer
(i) A whole number is less than all those whole numbers that lie to its right on the number line.
(ii) One more than a given whole is called its successor.
(iii) There is atleast one whole number between two non-consecutive whole numbers.
(iv) Since 335 = 300 + 30 + 5, we have:
738 × 335 = 738 × (300 + 30 + 5).
(v) Given, a × a = a where a ≠ 0.
Dividing both sides by a (since a ≠ 0):
a = 1.
So, a = 1.
(vi) 0 is the only whole number which is not a natural number.
(vii) The additive identity in whole numbers is 0.
(viii) The largest 3-digit number is 999. Its successor is 999 + 1 = 1000.
So, 1000 is the successor of the largest 3-digit number.
(ix) Division of a whole number by zero (0) is not defined.
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Related Questions
Observe the following pattern and fill in the blanks:
9 × 9 + 7 = 88
98 × 9 + 6 = 888
987 × 9 + 5 = 8888
9876 × 9 + 4 = …….
98765 × 9 + 3 = …….
Look at the following figures made up of dots:
These figures show the arrangement of the numbers 2 × 3 or 3 × 2; 2 × 4 or 4 × 2 i.e. the numbers 6 and 8.
The numbers 6 and 8 are called rectangular numbers. Can you write two more rectangular numbers?
State whether the following statements are true (T) or false (F):
(i) The successor of a one-digit number is always a one-digit number.
(ii) The predecessor of every two-digit number is a one-digit number.
(iii) The predecessor of a 3-digit number is always a 3-digit number.
(iv) The successor of a 3-digit number is always a 3-digit number.
(v) If a is any whole number, then a ÷ a = 1
(vi) If a is any non-zero whole number, then 0 ÷ a = 0
(vii) On adding two different whole numbers, we always get a natural number.
(viii) Between two whole numbers there is a whole number.
(ix) There is a natural number which when added to a natural number, gives that number.
(x) If the product of two whole numbers is zero, then at least one of them is zero.
(xi) Any non-zero whole number divided by itself gives the quotient 1.
The whole number which does not have a predecessor in whole number system is
0
1
2
none of these