Question

identify the correct step to prove that if a is an integer than O,then a divides O. A) 1 I a Since 1=1/a B) 1 I a Since 1=1.1 C) 1 I a Since a=1.a D) 1 I a Since 1=1.a E) 1 I a Since 1=a.a

Answer 1

The correct step to prove that if a is an integer, then a divides 0 is option E) 1 I a Since 1=a.a.

Step-by-step explanation:

The correct step to prove that if a is an integer, then a divides 0 is option E) 1 I a Since 1=a.a.

To prove this, we can use the fact that any number multiplied by 0 is always 0. Therefore, if a divides 0, it means that there exists another integer k such that a * k = 0. In this case, k would be equal to 1, because any number multiplied by 1 is itself. So, a * 1 = a = 0.

Thus, option E) 1 I a Since 1=a.a is the correct step to prove that if a is an integer, then a divides 0.

Answer 2

The correct option to prove that an integer a divides 0 is:

C) a | 0 since 0 = a × 0

How do we find the right prove that integer A divides 0?

To say that "a divides 0," we mean there is some integer k such that a×k = 0.

Since any number multiplied by 0 is 0, we can say that 0 is divisible by any integer a, because a×0 = 0.

Option A is incorrect because a = 0/a is not valid for all a, especially since division by zero is undefined.

Option B is incorrect because 0=a/0 is not valid; division by zero is undefined.

Option C is correct because 0 = a × 0 is valid for all integers a.

Option D is incorrect because 0 = a×a implies that a must be zero, which is not the general case we're considering.

Full question
identify the correct step to prove that if a is an integer than O,then a divides O.

A) a I 0 Since a = 0/a

B) a I 0 Since 0 = a/0

C) a I 0 Since 0 = a × 0

D) a I 0 Since 0 = a×a