State True/False:
a) The predecessor of a two-digit number is never a single-digit number.
b) 1 is the smallest whole number.
c) Subtraction and division of whole numbers follow closure property.
d) Addition and multiplication are commutative for whole numbers.

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Solution

a) False
Predecessor of 10 is 9. Here we can see that predecessor of two-digit number is single-digit number.
b) False
0 is the smallest whole number.
c) False
Only addition and multiplication of whole numbers follow the closure property.
d) True
Addition and multiplication are commutative for whole numbers.

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Similar questions

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.

(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.

Q. Write (T) for true and (F) for false against each of the following statements:
(i) Zero is the smallest natural number.
(ii) Zero is the smallest whole number.
(iii) Every whole number is a natural number.
(iv) Every natural number is a whole number.
(v) 1 is the smallest whole number.
(vi) The natural number 1 has no predecessor.
(vii) The whole number 1 has no predecessor.
(viii) The whole number 0 has no predecessor.
(ix) The predecessor of a two-digit number is never a single-digit number.
(x) The successor of a two-digit number is always a two-digit number.
(xi) 500 is the predecessor of 499.
(xii) 7000 is the successor of 6999.

Q. Which of the following statements are true and which are false?

(i) Every whole number has its successor.
(ii) Every whole number has its predecessor.
(iii) 0 is the smallest natural number.
(iv) 1 is the smallest whole number.
(v) 0 is less than every natural number.
(vi) Between any two whole numbers there is a whole number.
(vii) Between any two non-consecutive whole numbers there is a whole number.
(viii) The smallest 5-digit number is the successor of the largest 4 digit number
(ix) Of the given two natural numbers, the one having more digits is greater.
(x) The predecessor of a two digit number cannot be a single digit number.
(xi) If a and b are natural numbers and a < b, than there is a natural number c such that a<b<c.
(xii) If a and b are whole numbers and a<b, then a+1< b+1.
(xiii) The whole number 1 has 0 as predecessor.
(xiv) The natural number 1 has no predecessor.

Which of the following statements is not true?
(A) Both addition and multiplication are associative for whole numbers.
(B) Zero is the identity for multiplication of whole numbers.
(C) Addition and multiplication both are commutative for whole numbers.
(D) Multiplication is distributive over addition for whole numbers.

Q. Addition and multiplication on whole numbers follow the property of closure, but subtraction and division do not follow. Explain with example.

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State True/False: a) The predecessor of a two-digit number is never a single-digit number. b) 1 is the smallest whole number. c) Subtraction and division of whole numbers follow closure property. d) Addition and multiplication are commutative for whole numbers.

State True/False:
a) The predecessor of a two-digit number is never a single-digit number.
b) 1 is the smallest whole number.
c) Subtraction and division of whole numbers follow closure property.
d) Addition and multiplication are commutative for whole numbers.