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compute. -4.53 + (-5.34) = -4.7 + 38.5 =

Question

compute.
-4.53 + (-5.34) =
-4.7 + 38.5 =

Explanation:

Step1: Compute \(-4.53 + (-5.34)\)

When adding two negative numbers, we add their absolute values and keep the negative sign. So, \(\vert -4.53\vert = 4.53\) and \(\vert -5.34\vert = 5.34\). Then \(4.53 + 5.34 = 9.87\), so \(-4.53 + (-5.34)= -9.87\).

Step2: Compute \(-4.7 + 38.5\)

When adding a negative and a positive number, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. \(\vert -4.7\vert = 4.7\) and \(\vert 38.5\vert = 38.5\). Since \(38.5>4.7\), we do \(38.5 - 4.7 = 33.8\), so \(-4.7 + 38.5 = 33.8\).

Answer:

\(-4.53 + (-5.34)= -9.87\)
\(-4.7 + 38.5 = 33.8\)