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Answer :
Sure! Let's go through the steps to evaluate the expression [tex]\( 37 - |-39.1 + (-40.2)| \)[/tex].
1. Calculate the Inner Expression:
First, we need to simplify the expression inside the absolute value.
[tex]\(-39.1 + (-40.2)\)[/tex] is the same as [tex]\(-39.1 - 40.2\)[/tex].
Adding these together, we get [tex]\(-79.3\)[/tex].
2. Find the Absolute Value:
Now, take the absolute value of [tex]\(-79.3\)[/tex].
The absolute value of a number is always positive, so [tex]\(|-79.3| = 79.3\)[/tex].
3. Subtract from 37:
Finally, we subtract the absolute value from 37:
[tex]\(37 - 79.3 = -42.3\)[/tex].
Thus, the expression evaluates to [tex]\(-42.3\)[/tex].
1. Calculate the Inner Expression:
First, we need to simplify the expression inside the absolute value.
[tex]\(-39.1 + (-40.2)\)[/tex] is the same as [tex]\(-39.1 - 40.2\)[/tex].
Adding these together, we get [tex]\(-79.3\)[/tex].
2. Find the Absolute Value:
Now, take the absolute value of [tex]\(-79.3\)[/tex].
The absolute value of a number is always positive, so [tex]\(|-79.3| = 79.3\)[/tex].
3. Subtract from 37:
Finally, we subtract the absolute value from 37:
[tex]\(37 - 79.3 = -42.3\)[/tex].
Thus, the expression evaluates to [tex]\(-42.3\)[/tex].
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