Question

true or false ? a) 0÷(-16)=0 b)(-8)÷0=0 c) (-1)÷(-1)=-1​

Answer 1

Answer:

(a) True

(b) False

(c) False

Step-by-step explanation:

Zero is an integer and a numerical digit used to represent that number in numerals.

(a) 0 ÷ (-16) = 0

In fraction form,

$-\frac{0}{16}=0$

Since zero can be divided by each and every number and leaves the remainder 0.

Thus, the statement 0 ÷ (-16) is true.

(b) (-8) ÷ 0 = 0

In fraction form,

$-\frac{8}{0}=0$

Any non-zero number divided by 0 is undefined.

⇒ $-\frac{8}{0}\neq 0$

Therefore, the statement (-8) ÷ 0 = 0 is false.

(c) (-1) ÷ (-1) = -1

In fraction form,

⇒ $\frac{-1}{-1}=-1$

Rewrite left-hand side as follows:

⇒ $-\frac{(-1)}{1}$

Using sign rule, $(-) \times (-) = (+)$

⇒ $\frac{1}{1}=1$

And the value at RHS is 1.

⇒ LHS ≠ RHS

Therefore, the statement (-1) ÷ (-1) = -1 is false.

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Answer 2

Answer:

• a) True
• b) False
• c) False

Step-by-step explanation:

Given :

We are given

• a) 0÷(-16)=0
• b) (-8)÷0=0
• c) (-1)÷(-1)=-1​

To State :

True or False

Solution:

(a) we are given that  0 ÷ ( - 16 ) = 0

since we know that if 0 divided by any number results in 0 again

so the given expression is True.

(b) we are given   ( - 8 ) ÷ 0 = 0

Since we know that any number divided by zero is not defined

So the given expression is False.

(c) we are given  ( - 1 ) ÷ ( - 1 ) = - 1

Since we know that -1 divided by -1  is equal to  1

so the given expression is False.

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