Answer :
To solve the expression [tex]\( 13.1 - 20.2 + 9 - (-38.5) \)[/tex], we need to break it down step by step:
1. Identify and simplify the subtraction of a negative number:
- The expression [tex]\(-(-38.5)\)[/tex] is equivalent to adding [tex]\(38.5\)[/tex], because subtracting a negative is the same as addition.
2. Rewrite the expression with this simplification:
- The expression now becomes [tex]\( 13.1 - 20.2 + 9 + 38.5\)[/tex].
3. Perform the operations from left to right:
a. Subtract [tex]\(20.2\)[/tex] from [tex]\(13.1\)[/tex]:
- [tex]\(13.1 - 20.2 = -7.1\)[/tex]
b. Add [tex]\(9\)[/tex] to the result:
- [tex]\(-7.1 + 9 = 1.9\)[/tex]
c. Finally, add [tex]\(38.5\)[/tex] to the result:
- [tex]\(1.9 + 38.5 = 40.4\)[/tex]
Therefore, the final result of the expression is [tex]\(40.4\)[/tex].
1. Identify and simplify the subtraction of a negative number:
- The expression [tex]\(-(-38.5)\)[/tex] is equivalent to adding [tex]\(38.5\)[/tex], because subtracting a negative is the same as addition.
2. Rewrite the expression with this simplification:
- The expression now becomes [tex]\( 13.1 - 20.2 + 9 + 38.5\)[/tex].
3. Perform the operations from left to right:
a. Subtract [tex]\(20.2\)[/tex] from [tex]\(13.1\)[/tex]:
- [tex]\(13.1 - 20.2 = -7.1\)[/tex]
b. Add [tex]\(9\)[/tex] to the result:
- [tex]\(-7.1 + 9 = 1.9\)[/tex]
c. Finally, add [tex]\(38.5\)[/tex] to the result:
- [tex]\(1.9 + 38.5 = 40.4\)[/tex]
Therefore, the final result of the expression is [tex]\(40.4\)[/tex].
