Question

(1) Which of the following is not possible in whole numbers
(a) 8-6
(b) 53-53 (C) 102-101 () 2-3
(2) Which of the following does not show the Commutative prop
howing does not show the Commutative property of multiplication of
whole numbers ?
(a) 6 x 2 = 12 x 1
(b) 5x 2 = 2 x 5
(c) 30 x 58 = 58 x 30
(d) None of these

plz explain how
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Answer 1

Answer:

(D)

(a)

Step-by-step explanation:

1.Whole numbers doesn't include negative numbers.

2)it doesn't show commutative property

Answer 2

Answer:

(1) Option (d) is not possible.

(2) Option (a) does not satisfies the commutative property of multiplication.

Step-by-step explanation:

Whole numbers: All natural numbers together with 0 forms the whole numbers, i.e.,

$0,1,2,3,..$ are whole numbers.

Commutative property of multiplication states that the changing the order of numbers we are multiplying does not change the product or result.

Example: a × b = b × a, where a, b are whole numbers.

(1)

(a) The difference between the numbers 8 and 6 is 2,

i.e., 8 - 6 = 2

⇒ 2 is a whole number.

Thus, option (a) is correct.

(b) The difference between the numbers 53 and 53 id 0,

i.e., 53 - 53 = 0

⇒ 0 is a whole number.

Thus, option (b) is correct.

(c) The difference between the numbers 102 and 101 id 1,

i.e., 102 - 101 = 1

⇒ 1 is a whole number.

Thus, option (c) is correct.

(d) The difference between the numbers 2 and 3 id -1,

i.e., 2 - 3 = -1

⇒ -1 is not a whole number.

Thus, option (c) is not possible.

(2)

(a) $6 \times 2 = 12 \times 1$

LHS = 6 × 2

       = 12

RHS = 12 × 1

       = 12

This implies LHS ≠ RHS.

Thus, option (a) does not satisfies the commutative property of multiplication.

(b) $5 \times 2 = 2 \times 5$

LHS = 5 × 2

       = 10

RHS = 2 × 5

       = 10

This implies LHS = RHS.

Thus, option (b) satisfies the commutative property.

(c) $30 \times 58 = 58 \times 30$

LHS = 30 × 58

       = 1740

RHS = 58 × 30

       = 1740

This implies LHS  RHS.

Thus, option (c) satisfies the commutative property.

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