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Answer :
Sure! Let's break down the expression step-by-step to understand the solution:
We need to evaluate the expression:
[tex]\[ 37 - \left| -39.1 + (-40.2) \right| \][/tex]
1. Add the numbers inside the absolute value:
[tex]\[ -39.1 + (-40.2) = -39.1 - 40.2 \][/tex]
When you add these two negative numbers, you get:
[tex]\[ -39.1 - 40.2 = -79.3 \][/tex]
2. Compute the absolute value:
[tex]\[ \left| -79.3 \right| \][/tex]
The absolute value of [tex]\(-79.3\)[/tex] is simply [tex]\(79.3\)[/tex] since absolute value represents the distance from zero and is always non-negative.
3. Subtract this absolute value from 37:
[tex]\[ 37 - 79.3 \][/tex]
Performing the subtraction:
[tex]\[ 37 - 79.3 = -42.3 \][/tex]
So, the value of the expression [tex]\( 37 - \left| -39.1 + (-40.2) \right| \)[/tex] is [tex]\( -42.3 \)[/tex].
We need to evaluate the expression:
[tex]\[ 37 - \left| -39.1 + (-40.2) \right| \][/tex]
1. Add the numbers inside the absolute value:
[tex]\[ -39.1 + (-40.2) = -39.1 - 40.2 \][/tex]
When you add these two negative numbers, you get:
[tex]\[ -39.1 - 40.2 = -79.3 \][/tex]
2. Compute the absolute value:
[tex]\[ \left| -79.3 \right| \][/tex]
The absolute value of [tex]\(-79.3\)[/tex] is simply [tex]\(79.3\)[/tex] since absolute value represents the distance from zero and is always non-negative.
3. Subtract this absolute value from 37:
[tex]\[ 37 - 79.3 \][/tex]
Performing the subtraction:
[tex]\[ 37 - 79.3 = -42.3 \][/tex]
So, the value of the expression [tex]\( 37 - \left| -39.1 + (-40.2) \right| \)[/tex] is [tex]\( -42.3 \)[/tex].
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