Respuesta :
Answer:
Equivalent expressions
A) [tex]\frac{60}{-5}[/tex]
C) [tex]60\times (-\frac{1}{5})[/tex]
Step-by-step explanation:
Given expression :
[tex]\frac{-60}{5}[/tex]
Choices given :
A) [tex]\frac{60}{-5}[/tex]
B) [tex]60\times \frac{1}{5}[/tex]
C) [tex]60\times (-\frac{1}{5})[/tex]
D) [tex]-60\times (-\frac{1}{5})[/tex]
To find the equivalent expression.
We will first evaluate the given expression.
[tex]\frac{-60}{5}[/tex]
⇒ [tex]-12[/tex] [Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A) [tex]\frac{60}{-5}[/tex]
⇒ [tex]-12[/tex] [Quotient of a positive dividend and a negative divisor is always negative]
B) [tex]60\times \frac{1}{5}[/tex]
⇒ [tex]\frac{60}{5}[/tex]
⇒ [tex]12[/tex]
C) [tex]60\times (-\frac{1}{5})[/tex]
⇒ [tex]-\frac{60}{5}[/tex] [Product of a positive and a negative is always a negative]
⇒ [tex]-12[/tex]
D) [tex]-60\times (-\frac{1}{5})[/tex]
⇒ [tex]\frac{60}{5}[/tex] [Product of two negatives is always a positive]
⇒ [tex]12[/tex]
∴ We see that the choices A and C are equivalent.
