5. Associative Property
- Simplify:
1. [tex]$|15| + |-7|$[/tex]
2. [tex]$|-24| - |-46|$[/tex]

- Find the sum:
1. [tex]$(-13) + (-22)$[/tex]
2. [tex]$(-300) + 304$[/tex]
3. [tex]$143 + (-187) + 250$[/tex]
4. [tex]$(-240) + (-150) + 6$[/tex]

- Subtract:
1. [tex]$-12$[/tex] from [tex]$-15$[/tex]
2. [tex]$45$[/tex] from [tex]$-51$[/tex]
3. [tex]$24$[/tex] from [tex]$-38$[/tex]
4. [tex]$-58$[/tex] from [tex]$130$[/tex]

Let's solve each part of the question step-by-step:

### Associative Property

1. The associative property holds for addition:
- The associative property for addition states that for any three numbers a, b, and c, the equation [tex]$(a + b) + c = a + (b + c)$[/tex] always holds.
- Hence, the associative property holds for addition: True

2. The associative property holds for multiplication:
- Similarly, the associative property for multiplication states that for any three numbers a, b, and c, the equation [tex]$(a \cdot b) \cdot c = a \cdot (b \cdot c)$[/tex] always holds.
- Hence, the associative property holds for multiplication: True

### Simplify

1. [tex]$|15| + |-7|$[/tex]
- The absolute value of 15 is 15, and the absolute value of -7 is 7.
- So, [tex]$|15| + |-7| = 15 + 7 = 22$[/tex].

2. [tex]$|-24| - |-46|$[/tex]
- The absolute value of -24 is 24, and the absolute value of -46 is 46.
- So, [tex]$|-24| - |-46| = 24 - 46 = -22$[/tex].

### Find the Sum
Let's find the sum for each expression:

1. [tex]$-300 + 304$[/tex]
- [tex]$-300 + 304 = 4$[/tex].

2. [tex]$-13 + (-22)$[/tex]
- [tex]$-13 + (-22) = -13 - 22 = -35$[/tex].

3. [tex]$143 + (-187) + 250$[/tex]
- First, sum [tex]$143 + (-187) = 143 - 187 = -44$[/tex].
- Then, [tex]$-44 + 250 = 206$[/tex].

4. [tex]$-240 + (-150) + 6$[/tex]
- First, sum [tex]$-240 + (-150) = -240 - 150 = -390$[/tex].
- Then, [tex]$-390 + 6 = -384$[/tex].

### Subtract
Now, we'll perform the subtraction step-by-step:

1. Subtract -12 from -15:
- [tex]$-15 - (-12) = -15 + 12 = -3$[/tex].

2. Subtract 45 from -51:
- [tex]$-51 - 45 = -51 - 45 = -96$[/tex].

3. Subtract 24 from -38:
- [tex]$-38 - 24 = -38 - 24 = -62$[/tex].

4. Subtract -58 from 130:
- [tex]$130 - (-58) = 130 + 58 = 188$[/tex].

Thus, putting it all together, the detailed solutions are:
- Associative Property for Addition: True
- Associative Property for Multiplication: True
- [tex]$|15| + |-7| = 22$[/tex]
- [tex]$|-24| - |-46| = -22$[/tex]
- [tex]$(-300) + 304 = 4$[/tex]
- [tex]$(-13) + (-22) = -35$[/tex]
- [tex]$143 + (-187) + 250 = 206$[/tex]
- [tex]$(-240) + (-150) + 6 = -384$[/tex]
- [tex]$-15 - (-12) = -3$[/tex]
- [tex]$-51 - 45 = -96$[/tex]
- [tex]$-38 - 24 = -62$[/tex]
- [tex]$130 - (-58) = 188$[/tex]