Answered

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Which of these is equal to the value of [tex]$9 - (-5)$[/tex]?

A. [tex]$-9 + 5$[/tex]
B. [tex][tex]$-9 - 5$[/tex][/tex]
C. [tex]$9 - 5$[/tex]
D. [tex]$9 + 5$[/tex]

Sagot :

GinnyAnswer
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].
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