Alright, let's break down each part of the problem step-by-step:
1. Calculate [tex]\( 15 + 6 \)[/tex]:
- Add the two numbers together.
- [tex]\( 15 + 6 = 21 \)[/tex].
- So, [tex]\( 15 + 6 = 21 \)[/tex].
2. Calculate [tex]\( 2 + (-7) \)[/tex]:
- When adding a negative number, subtract the absolute value of the negative number from the positive number.
- [tex]\( 2 + (-7) = 2 - 7 = -5 \)[/tex].
- So, [tex]\( 2 + (-7) = -5 \)[/tex].
3. Simplify [tex]\( 3(-10) - 1 \)[/tex]:
- First, multiply [tex]\( 3 \)[/tex] by [tex]\( -10 \)[/tex].
- [tex]\( 3 \times (-10) = -30 \)[/tex].
- Then, subtract [tex]\( 1 \)[/tex] from [tex]\( -30 \)[/tex].
- [tex]\( -30 - 1 = -31 \)[/tex].
- So, [tex]\( 3(-10) - 1 = -31 \)[/tex].
4. Simplify [tex]\( 4 - 6 + 5 \)[/tex]:
- Start from left to right: subtract [tex]\( 6 \)[/tex] from [tex]\( 4 \)[/tex].
- [tex]\( 4 - 6 = -2 \)[/tex].
- Then, add [tex]\( 5 \)[/tex] to [tex]\( -2 \)[/tex].
- [tex]\( -2 + 5 = 3 \)[/tex].
- So, [tex]\( 4 - 6 + 5 = 3 \)[/tex].
Therefore, the results are:
1. [tex]\( 15 + 6 = 21 \)[/tex]
2. [tex]\( 2 + (-7) = -5 \)[/tex]
3. [tex]\( 3(-10) - 1 = -31 \)[/tex]
4. [tex]\( 4 - 6 + 5 = 3 \)[/tex]
