Question

answer the questions to plan how to evaluate the expression below.
-0.7 - 3.1
select the expression rewritten as the sum of two decimals.
-0.7 - 3.1 = -0.7 + (-3.1)
the signs of the addends in the rewritten expression are
the sum will be because
(options for the first blank: opposite, the same)

Explanation:

Step1: Analyze the rewritten expression

The rewritten expression is \(-0.7 + (-3.1)\). The addends are \(-0.7\) and \(-3.1\), both of which have a negative sign. So their signs are the same.

Step2: Determine the sign of the sum

When adding two numbers with the same sign, we add their absolute values and keep the common sign. The absolute values of \(-0.7\) and \(-3.1\) are \(0.7\) and \(3.1\) respectively. Adding them gives \(0.7 + 3.1 = 3.8\), and since both addends are negative, the sum will be negative.

Answer:

• The signs of the addends in the rewritten expression are the same.
• The sum will be negative because when adding two numbers with the same (negative) sign, we add their absolute values and keep the negative sign.