To solve the equation [tex]\( \, \_ \, + 7 = 117 \)[/tex], we need to determine the missing value that, when added to 7, gives a result of 117. Here's the step-by-step approach to solve it:
1. Identify the missing value: Let the missing value be represented by [tex]\( x \)[/tex].
2. Formulate the equation: The equation given is [tex]\( x + 7 = 117 \)[/tex].
3. Isolate the variable [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], we need to "undo" the addition of 7.
- We can do this by subtracting 7 from both sides of the equation.
[tex]\[ x + 7 - 7 = 117 - 7 \][/tex]
4. Simplify the equation:
- On the left side, [tex]\( 7 - 7 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex].
- On the right side, subtract 7 from 117.
[tex]\[ x = 110 \][/tex]
So, the missing number [tex]\( x \)[/tex] is 110.
To verify, we can plug the value back into the original equation:
[tex]\[ 110 + 7 = 117 \][/tex]
The equation holds true, so our solution is correct.
Therefore, the complete equation is [tex]\( 110 + 7 = 117 \)[/tex]. The missing value is [tex]\( 110 \)[/tex].
