Question

Which of these expressions have positive values? Select all that apply.

2(8)
–10 ÷ 12
(–2)(–2)
10 ÷ (–20)
6(–8)
–40 ÷ (–8)

Answer 1

2(8)= 16

(-2)(-2)= 4

-40 divided by (-8)= 5

Answer 2

There are some expressions given. We have to simplify them and have to check which simplified values are positive.

The first expression is
`(2)(8)`.

2 multiplied 8 is 16 which is positive.

So first expression is positive.

The second expression is
`((-10))/(12)`.

We can simplify the expression by dividing both (-10) and 12 by a common factor of them. 2 is the common factor of them. If we divide them by 2 we will get, (-5) and 6.

`((-10))/(12) = - (5)/(6)`

So second expression is not positive.

Third expression is
`(-2)(-2)`

If we multiply them we will get 4 which is positive.

So third expression is positive.

Fourth expression is
`(10)/((-20))`

The common factor of them is 10. If we divide both of them by 10 we will get 1 and (-2) there.

`(10)/((-20))= - (1)/(2)`

So fourth expression is not positive.

Fifth expression is
`(6)(-8)`

If we multiply them we will get (-48) which is negative.

So fifth expression is not positive.

Sixth expression given
`((-40))/((-8))`

If we divide them we will get 5 which is positive.

So sixth expression is positive.

We have got the required answer. First, third and sixth expressions has positive values.