Question

answer the questions to plan how to evaluate the expression below.
-7.6 + (-0.1)

the signs of the addends are the same.

the sum will be negative because .

options for because:
both addends are negative
the number with the greater absolute value is negative
two addends with the same sign always have a negative sum

Explanation:

To determine why the sum of \(-7.6 + (-0.1)\) is negative, we analyze the signs of the addends. Both \(-7.6\) and \(-0.1\) are negative. When adding two numbers with the same sign, we add their absolute values and keep the common sign. Since both addends are negative, their sum will be negative. The option "both addends are negative" directly explains this. The option "the number with the greater absolute value is negative" is not the reason here because we are adding two negative numbers (same sign), not two numbers with different signs. The option "two addends with the same sign always have a negative sum" is incorrect because two positive addends would have a positive sum. So the correct reason is that both addends are negative.

Answer:

both addends are negative