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compute. -3.384 - 5.76 = 17.63 + (-28.862) =

Question

compute.
-3.384 - 5.76 =
17.63 + (-28.862) =

Explanation:

Step1: Compute -3.384 - 5.76

To subtract these two numbers, we can think of it as adding the negative of the second number to the first. So, \(-3.384 - 5.76 = -3.384 + (-5.76)\). When adding two negative numbers, we add their absolute values and keep the negative sign. The absolute value of -3.384 is 3.384, and the absolute value of -5.76 is 5.76. Adding these absolute values: \(3.384 + 5.76 = 9.144\). So, \(-3.384 - 5.76 = -9.144\).

Step2: Compute 17.63 + (-28.862)

Adding a negative number is the same as subtracting its absolute value. So, \(17.63 + (-28.862) = 17.63 - 28.862\). Since 28.862 is greater than 17.63, the result will be negative. We subtract 17.63 from 28.862: \(28.862 - 17.63 = 11.232\). So, \(17.63 + (-28.862) = -11.232\).

Answer:

-3.384 - 5.76 = \(-9.144\)
17.63 + (-28.862) = \(-11.232\)