Explanation:

The sum of two negative numbers is always negative, hence, this is the right choice.

You are watching: The difference of any two negative integers is a negative integer

As for the other choices:

The product or quotient of two negative numbers is always positive

A negative number taken to the power of a positive integer can be either negative or positive depending on whether the exponent is even or odd. 

*
, which is positive, and 
*
, which is negative.

The difference of negative numbers can be either negative, positive, or zero:

*
, but 
*


If 

*
is a positive number, and 
*
is also a positive number, what is a possible value for
*
?


*


*


*


*


Explanation:

Because

*
is positive, 
*
must be negative since the product of two negative numbers is positive.

Because 

*
is also positive, must also be negative in order to produce a prositive product.

To check you answer, you can try plugging in any negative number for .


Explanation:

By choosing a random negative number, for example: –4, we can input the number into each choice and see if we come out with another negative number. When we put –4 in for x, we would have –4 – (–(–4)) or –4 – 4, which is –8. Plugging in the other options gives a positive answer. You can try other negative numbers, if needed, to confirm this still works. 

 

 


Explanation:

x: –7 – 7= –7 + –7 = –14

y: –7 – (–7) = –7 + 7 = 0

when subtracting a negative number, turn it into an addition problem


Explanation:

Begin by isolating your variable.

Subtract 

*
 from both sides:

*
, or 
*

Next, subtract 

*
 from both sides:

*
, or 
*

Then, divide both sides by 

*
:

*

Recall that division of a negative by a negative gives you a positive, therefore:

*
 or 
*


Explanation:

The rule for dividing negative numbers is the same as for multiplying negative numbers.

If both numbers are negative, you will get a positive answer.

If either number is positive, and the other is negative, you will get a negative answer.

Therefore:

*


Explanation:

To solve, first put the equation in terms of 

*
:

*

First multiply the x to both sides.

*

Now divide by 12 to solve for x.

*

Here, because one of the numbers in the equation is positive, and the other is negative, the answer must be a negative number:

*


Explanation:

To evaluate this, rewrite the expression with the correct signs.

Positive multiplied with a negative sign results in a negative, and a double negative results in a positive sign.

*


Explanation:

It is possible to rewrite the expression as:

*

Take the negative of the difference of 47 and 23.

The answer is 

*
.


Explanation:

Evaluate the inner term inside the parenthesis first. The expression can then be simplifed to an integer.

See more: How Far Is Iowa From Maryland (Md) To Iowa (Ia) From $101, Maryland To Iowa

*


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