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Question

Study the following statements.
Statement-1: Addition and multiplication are commutative for whole numbers.
Statement-2: Division of whole numbers is distributive over addition.
Which of the following options hold?
  1. Both Statement-1 and Statement-2 are true.
  2. Statement-1 is true but Statement-2 is false.
  3. Statement-1 is false but Statement-2 is true.
  4. Both Statement-1 and Statement-2 are false.

A
Both Statement-1 and Statement-2 are true.
B
Statement-1 is true but Statement-2 is false.
C
Statement-1 is false but Statement-2 is true.
D
Both Statement-1 and Statement-2 are false.
Solution
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Q1

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.

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Q2

State whether the following statements are true or false. Justify if false.

The commutative property of addition depends on the order in which whole numbers are added.


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Q3
Which of the statements are true (T) and which are false (F). Correct the false statements:
- All whole numbers are natural numbers.
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Q4
Which of the statements are true (T) and which are false (F). Correct the false statements:
- Zero is the smallest whole number.
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Q5

State whether the following statements are true or false.

1 is the multiplicative identity of whole numbers.


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