Question

Write the following as an expression and evaluate. The sum of -5 and the quotient of -25 and 5.

a. −5+−25/5.
b. −5− −25/5.
c. −5× −25/5.
d. −5÷ −25/5.

Answer 1

The expression is -5 + (-25/5), which simplifies to -5 + (-5) = -10. This is found by first dividing -25 by 5 to get -5, then adding this quotient to -5 to get the final result of -10.

Step-by-step explanation:

To write the following as an expression and evaluate, the task is to find the sum of -5 and the quotient of -25 and 5. To start, we calculate the quotient, which is -25 divided by 5, giving us -5. Next, we find the sum of -5 and our quotient, which is -5. So, we are adding -5 and -5 together, which uses the rule that when two negative numbers add, the answer has a negative sign.

The correct expression and its evaluation is therefore:

• a. −5+−5/5 = -5 + (-5) = -10

According to the rules of arithmetic involving negative numbers:

1. When two negative numbers add, such as -5 and -5, we sum their absolute values and keep the negative sign, resulting in -10.

The other options b, c, and d suggest different operations such as subtraction, multiplication, and division, which are not required for this situation.