Question

How many natural numbers are there between 1 and 10?
(a) 6
(b) 7
(c) 8
(d) 9
next question
3 × 5 = 5 × 3’
The above is known as
(a) closure property
(b) commutativity of addition
(c) commutativity of multiplication
(d) none of these.
next question
(1 + 2) + 3 = 1 + (2 + 3)’
The above is known as
(a) commutativity of addition
(b) associativity of addition
(c) commutativity of multiplication
(d) associativity of multiplication.
next question
2 × (3 + 4) = (2 × 3) + (2 × 4)’
The above is known as
(a) distributivity of multiplication over addition
(b) associativity of addition
(c) associativity of multiplication
(d) none of these.

Answer 1

Step-by-step explanation:

1. A) 9

2. D) None of these

3. B) Associativity of addition

4. A) Distributivity of multiplication over addition

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

A. How many natural numbers are there between 1 and 10

(a) 6

(b) 7

(c) 8

(d) 9

B. 3 × 5 = 5 × 3

The above is known as

(a) closure property

(b) commutativity of addition

(c) commutativity of multiplication

(d) none of these.

C. (1 + 2) + 3 = 1 + (2 + 3)

The above is known as

(a) commutativity of addition

(b) associativity of addition

(c) commutativity of multiplication

(d) associativity of multiplication.

D. 2 × (3 + 4) = (2 × 3) + (2 × 4)

The above is known as

(a) distributive of multiplication over addition

(b) associativity of addition

(c) associativity of multiplication

(d) none of these.

EVALUATION

A. The natural numbers are there between 1 and 10 are 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

So the number of natural numbers = 8

Hence the correct option is (c) 8

B. Commutative property under multiplication states that for two real numbers a and b

a × b = b × a

If we take a = 3 & b = 5 then we get

3 × 5 = 5 × 3

Hence the correct option is

(c) commutativity of multiplication

C. Associative property under addition states that for three Real Numbers a , b , c

( a + b ) + c = a + ( b + c )

If we take a = 1 , b = 2 , c = 3 then we get

(1 + 2) + 3 = 1 + (2 + 3)

Hence the correct option is

(b) associativity of addition

D. Distributive Property of multiplication over addition states that

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

If we take a = 2 , b = 3 , c = 4 then we get

2 × (3 + 4) = (2 × 3) + (2 × 4)

Hence the correct option is

(a) distributive of multiplication over addition

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