Answer :
To determine which expression is equal to the value of [tex]\( 9 - (-5) \)[/tex], let's break it down step by step:
1. Evaluate [tex]\( 9 - (-5) \)[/tex].
When you subtract a negative number, it is equivalent to adding the absolute value of that number:
[tex]\[ 9 - (-5) = 9 + 5 = 14 \][/tex]
So, the expression [tex]\( 9 - (-5) \)[/tex] evaluates to 14.
2. Now we compare each of the given choices to see which one equals 14:
- [tex]\( -9 + 5 \)[/tex]:
[tex]\[ -9 + 5 = -4 \][/tex]
This is not equal to 14.
- [tex]\( -9 - 5 \)[/tex]:
[tex]\[ -9 - 5 = -14 \][/tex]
This is not equal to 14.
- [tex]\( 9 - 5 \)[/tex]:
[tex]\[ 9 - 5 = 4 \][/tex]
This is not equal to 14.
- [tex]\( 9 + 5 \)[/tex]:
[tex]\[ 9 + 5 = 14 \][/tex]
This is equal to 14.
Therefore, the expression that equates to [tex]\( 9 - (-5) \)[/tex] is [tex]\( 9 + 5 \)[/tex].
1. Evaluate [tex]\( 9 - (-5) \)[/tex].
When you subtract a negative number, it is equivalent to adding the absolute value of that number:
[tex]\[ 9 - (-5) = 9 + 5 = 14 \][/tex]
So, the expression [tex]\( 9 - (-5) \)[/tex] evaluates to 14.
2. Now we compare each of the given choices to see which one equals 14:
- [tex]\( -9 + 5 \)[/tex]:
[tex]\[ -9 + 5 = -4 \][/tex]
This is not equal to 14.
- [tex]\( -9 - 5 \)[/tex]:
[tex]\[ -9 - 5 = -14 \][/tex]
This is not equal to 14.
- [tex]\( 9 - 5 \)[/tex]:
[tex]\[ 9 - 5 = 4 \][/tex]
This is not equal to 14.
- [tex]\( 9 + 5 \)[/tex]:
[tex]\[ 9 + 5 = 14 \][/tex]
This is equal to 14.
Therefore, the expression that equates to [tex]\( 9 - (-5) \)[/tex] is [tex]\( 9 + 5 \)[/tex].