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

A. [tex]\( 2(8) \)[/tex]

B. [tex]\( -10 \div 12 \)[/tex]

C. [tex]\( (-2)(-2) \)[/tex]

D. [tex]\( 10 \div (-20) \)[/tex]

E. [tex]\( 6(-8) \)[/tex]

F. [tex]\( -40 + (-8) \)[/tex]


Sagot :

Let's evaluate each of the given expressions to determine which ones have positive values.

1. Expression: [tex]\(2 \times 8\)[/tex]

Calculation:
[tex]\[ 2 \times 8 = 16 \][/tex]
Since 16 is greater than 0, this expression is positive.

2. Expression: [tex]\(-10 \div 12\)[/tex]

Calculation:
[tex]\[ -10 \div 12 \approx -0.8333 \][/tex]
Since [tex]\(-0.8333\)[/tex] is less than 0, this expression is negative.

3. Expression: [tex]\((-2) \times (-2)\)[/tex]

Calculation:
[tex]\[ (-2) \times (-2) = 4 \][/tex]
Since 4 is greater than 0, this expression is positive.

4. Expression: [tex]\(10 \div (-20)\)[/tex]

Calculation:
[tex]\[ 10 \div (-20) = -0.5 \][/tex]
Since [tex]\(-0.5\)[/tex] is less than 0, this expression is negative.

5. Expression: [tex]\(6 \times (-8)\)[/tex]

Calculation:
[tex]\[ 6 \times (-8) = -48 \][/tex]
Since -48 is less than 0, this expression is negative.

6. Expression: [tex]\(-40 + (-8)\)[/tex]

Calculation:
[tex]\[ -40 + (-8) = -48 \][/tex]
Since -48 is less than 0, this expression is negative.

So, the expressions that result in positive values are:
[tex]\[ 2 \times 8 \quad \text{and} \quad (-2) \times (-2) \][/tex]

Therefore, the expressions that have positive values are [tex]\(2(8)\)[/tex] and [tex]\((-2)(-2)\)[/tex].