Question

answer the questions to plan how to evaluate the expression below.
-0.3 + (-9.3)
the signs of the addends are the same.
the sum will be negative because
options: the number with the greater absolute value is negative; both addends are negative; two addends with the same sign always have a negative sum

Explanation:

To determine why the sum of \(-0.3 + (-9.3)\) is negative, we analyze the addends. Both \(-0.3\) and \(-9.3\) are negative (same sign). When adding two numbers with the same sign, we add their absolute values and keep the common sign. Since both are negative, their sum will be negative because both addends are negative. The first option refers to when signs differ (comparing absolute values), and the third is incorrect (e.g., \(2 + 3 = 5\) is positive, so same - sign addends with positive values sum to positive, but here our addends are negative). So the correct reason is "both addends are negative".

Answer:

the option: both addends are negative