Question

Evaluate the expression. Name the property used in each step. 3(22−3⋅7) =3(22−21) 1 of 3. Select Choice =3(1) 2 of 3. Select Choice =3 3 of 3. Select Choice

Answer 1

Let's evaluate the expression step by step and name the properties used in each step.

1. **Start with the expression:**
\( 3(22 - 3 \cdot 7) \)

2. **Perform the multiplication inside the parentheses:**
\( 3 \cdot 7 = 21 \)
Therefore, it becomes:
\( 3(22 - 21) \)
**Property used:** Substitution (because we substituted \( 3 \cdot 7 \) with \( 21 \)).

3. **Now simplify inside the parentheses:**
\( 22 - 21 = 1 \)
Now the expression is:
\( 3(1) \)
**Property used:** Simplification (because we simplified \( 22 - 21 \) to \( 1 \)).

4. **Finally, multiply:**
\( 3(1) = 3 \)
**Property used:** Identity property of multiplication (since multiplying any number by 1 returns the same number).

Thus, the complete evaluation and properties used are:
1. \( 3(22 - 3 \cdot 7) = 3(22 - 21) \) using Substitution.
2. \( 3(22 - 21) = 3(1) \) using Simplification.
3. \( 3(1) = 3 \) using Identity property of multiplication.

So the final answer is \( 3 \).