Question

Select all expressions that have a value of -5 over 8.

A)-5/8
B)-5 over -8
C)-(-5)/8
D)-(-5) over -8
E)5/(-8)
F)-5/8
G)-5 over -8

Answer 1

Expressions A) -5/8, D) -(-5) over -8, and E) 5/(-8) have a value of -5 over 8 because they follow the multiplication and division rules for numbers with different signs.

Step-by-step explanation:

The student's question revolves around identifying which expressions are equivalent to -5 over 8. Let's evaluate the given expressions based on the rules for multiplying and dividing numbers with different signs:

• A) -5/8: This expression represents -5 divided by 8, which is exactly -5 over 8.
• B) -5 over -8: Here, we have a negative divided by a negative, which results in a positive. So this expression is equivalent to 5 over 8, not -5 over 8.
• C) -(-5)/8: The double negative turns the numerator into a positive 5, divided by 8, so this expression is 5 over 8, not -5 over 8.
• D) -(-5) over -8: Once again, the double negative in the numerator converts -5 to +5, but this time it's divided by -8, resulting in -5 over 8.
• E) 5/(-8): A positive divided by a negative results in a negative, so this is indeed -5 over 8.

Therefore, the expressions that have a value of -5 over 8 are A), D), and E).