Question

Several properties are used to evaluate this expression. Identify the property used in each step.

21 + (36 + 0 + 19)

21 + (36 + 19):
21 + (19 + 36):
(21 + 19) + 36:

40 + 36

76

Answer 1

Let's identify the properties used in each step of the expression:

1. **Step:** \( 21 + (36 + 0 + 19) \)
- **Property used:** **Identity Property of Addition** (adding 0 doesn't change the value)

2. **Step:** \( 21 + (36 + 19) \)
- **Property used:** **Associative Property of Addition** (changing the grouping of the numbers does not change the sum)

3. **Step:** \( 21 + (19 + 36) \)
- **Property used:** **Commutative Property of Addition** (changing the order of the numbers being added does not change the sum)

4. **Step:** \( (21 + 19) + 36 \)
- **Property used:** **Associative Property of Addition** (changing the grouping of the numbers again)

5. **Step:** \( 40 + 36 \)
- This step is just simplifying \( (21 + 19) \) to get 40.

6. **Step:** \( 76 \)
- **Property used:** Addition (calculating the sum of 40 and 36)

So, the properties identified for each step are as follows:
1. Identity Property
2. Associative Property
3. Commutative Property
4. Associative Property
5. Simplification
6. Addition/Calculation.