College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Write the difference [tex]$57 - (-38)$[/tex] as a sum. Then simplify.

A. [tex]$57 + 16$[/tex] ; 73

B. [tex]$57 - 38$[/tex] ; 19

C. [tex]$57 - 16$[/tex] ; 41

D. [tex]$57 + 38$[/tex] ; 95

Answer :

To solve the problem of writing the difference [tex]\( 57 - (-38) \)[/tex] as a sum and then simplifying it, follow these steps:

1. Rewrite the Expression:
The expression [tex]\( 57 - (-38) \)[/tex] can be rewritten by changing the subtraction of a negative number into an addition. In math, subtracting a negative number is equivalent to adding its positive counterpart. So, it becomes:
[tex]\[
57 - (-38) = 57 + 38
\][/tex]

2. Simplify the Expression:
Now that we have rewritten the expression as a sum, we simply add the two numbers together:
[tex]\[
57 + 38 = 95
\][/tex]

So, the difference [tex]\( 57 - (-38) \)[/tex] rewritten as a sum is [tex]\( 57 + 38 \)[/tex], and the simplified result is [tex]\( 95 \)[/tex].

Based on these steps, the correct choice from the given options is:
[tex]\[
57 + 38; 95
\][/tex]