To evaluate the expression [tex]\( |-10| - |9 - 8| \)[/tex], follow these steps:
1. Evaluate the absolute value [tex]\( |-10| \)[/tex]:
- The absolute value of [tex]\(-10\)[/tex] is [tex]\(10\)[/tex].
- So, [tex]\( |-10| = 10 \)[/tex].
2. Evaluate the subtraction [tex]\( 9 - 8 \)[/tex]:
- Subtract [tex]\(8\)[/tex] from [tex]\(9\)[/tex].
- [tex]\( 9 - 8 = 1 \)[/tex].
3. Evaluate the absolute value of the result from step 2, [tex]\( |9 - 8| \)[/tex]:
- The absolute value of [tex]\(1\)[/tex] is [tex]\(1\)[/tex].
- So, [tex]\( |9 - 8| = 1 \)[/tex].
4. Subtract the absolute values calculated:
- Subtract [tex]\(1\)[/tex] (result from step 3) from [tex]\(10\)[/tex] (result from step 1).
- [tex]\( 10 - 1 = 9 \)[/tex].
Therefore, the value of the expression [tex]\( |-10| - |9 - 8| \)[/tex] is [tex]\(9\)[/tex].
