Question

(20 pts, pls answer these correctly, if possible ^^;;)

Choose the correct word to complete each statement, based on the number line shown above.

1. m + n is (sometimes, always, or never)_____equivalent to n + m.

2. mn is (sometimes, always or never) _____ positive.

3. m/n (sometimes, always or never) _____ results in another integer.

4. m - n is (sometimes, always or never) _____ negative.

5. m/n is ____ (sometimes, always or never) equivalent to n/m.

6. n + (-n) is (sometimes, always or never) ____equivalent to 0.

Answer 1

1. always

2.never

3.sometimes

4.always

5.sometimes

6.always

Explanation:

It is clear from the given number line, that
`m` is a negative integer and
`n` is a positive integer.

1. It is always true because addition is always commutative property.

2. It is never positive because product of two different sign is always negative.

3.dividing two integer with unlike sign may result in any integer

4.when a positive quantity is reduced from a negative quantity, the result is always negative.

5.division of two unlike integers may result the same,if they both have the same value

6.If an opposite of a positive integer is added to that positive integer itself, the result is is always 0.