Evaluate each of the following numerical expressions.
a)2-5(3-7)

Let's evaluate the given numerical expression step by step:

### Expression:
\[ 2 - 5(3 - 7) \]

1. **Evaluate the parentheses**: 
   \[ 3 - 7 = -4 \]
   Now the expression becomes:
   \[ 2 - 5(-4) \]

2. **Multiply**:
   \[ 5 \times (-4) = -20 \]
   Now the expression is:
   \[ 2 - (-20) \]

3. **Subtracting a negative number** is the same as adding its positive value:
   \[ 2 - (-20) = 2 + 20 = 22 \]

### Final Answer:
\[ 2 - 5(3 - 7) = 22 \]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you simplify the expression \( 3 + 4(6 - 8) \)?
2. What is the result of \( 5 - 2(7 - 9) \)?
3. Can you evaluate \( 10 - 3(2 - 5) \)?
4. What happens if you change the subtraction sign in \( 2 - 5(x - y) \)?
5. How does the order of operations affect \( 4 + 6 \times (2 - 9) \)?

**Tip:** Always solve operations inside parentheses first, followed by multiplication and division, before addition and subtraction.

Evaluate each of the following numerical expressions.
a) 2 - 5(3 - 7)

Discover how to evaluate the expression 2 - 5(3 - 7) step by step, using the order of operations. This example focuses on solving parentheses, multiplication, and handling negative numbers. Ideal for students in Grades 6-8.

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