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QUESTION IMAGE

compute. -5.39 - 13.4 = 32.6 + (-56.24) =

Question

compute.
-5.39 - 13.4 =
32.6 + (-56.24) =

Explanation:

Response
First Calculation: \(-5.39 - 13.4\)

Step1: Rewrite subtraction as addition

Subtracting a number is the same as adding its opposite. So, \(-5.39 - 13.4 = -5.39 + (-13.4)\).

Step2: Add the two negative numbers

To add two negative numbers, we add their absolute values and keep the negative sign. The absolute value of \(-5.39\) is \(5.39\) and the absolute value of \(-13.4\) is \(13.4\). Adding these gives \(5.39 + 13.4 = 18.79\). So, \(-5.39 + (-13.4) = -18.79\).

Second Calculation: \(32.6 + (-56.24)\)

Step1: Rewrite as subtraction

Adding a negative number is the same as subtracting its absolute value. So, \(32.6 + (-56.24) = 32.6 - 56.24\).

Step2: Subtract the numbers

Since \(56.24 > 32.6\), the result will be negative. We subtract \(32.6\) from \(56.24\): \(56.24 - 32.6 = 23.64\). So, \(32.6 - 56.24 = -23.64\).

Answer:

s:
\(-5.39 - 13.4 = \boldsymbol{-18.79}\)
\(32.6 + (-56.24) = \boldsymbol{-23.64}\)