Select THREE expressions that have a product of 396.
A.(2 x 3) x (11 x 5)
B.(3 × 4) × (11 × 3)
C.12 × 33
D.(9 × 11) × 4
E.39 × 6
F.(10 × 2) × (30 × 3) what is the answer

To solve this, we need to find three expressions whose product equals 396.

First, let's calculate the products for each option:

**A.** \((2 \times 3) \times (11 \times 5)\)
\[
(2 \times 3) = 6, \quad (11 \times 5) = 55
\]
\[
6 \times 55 = 330
\]
So, the product for A is **330**.

---

**B.** \((3 \times 4) \times (11 \times 3)\)
\[
(3 \times 4) = 12, \quad (11 \times 3) = 33
\]
\[
12 \times 33 = 396
\]
So, the product for B is **396**.

---

**C.** \(12 \times 33\)
\[
12 \times 33 = 396
\]
So, the product for C is **396**.

---

**D.** \((9 \times 11) \times 4\)
\[
(9 \times 11) = 99
\]
\[
99 \times 4 = 396
\]
So, the product for D is **396**.

---

**E.** \(39 \times 6\)
\[
39 \times 6 = 234
\]
So, the product for E is **234**.

---

**F.** \((10 \times 2) \times (30 \times 3)\)
\[
(10 \times 2) = 20, \quad (30 \times 3) = 90
\]
\[
20 \times 90 = 1800
\]
So, the product for F is **1800**.

---

The three expressions that have a product of **396** are:

- **B: (3 × 4) × (11 × 3)**
- **C: 12 × 33**
- **D: (9 × 11) × 4**

---

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you factor 396?
2. Can you identify prime numbers in these products?
3. What is the prime factorization of 396?
4. How do we verify the results using division?
5. How can you simplify multiplication with parentheses?

**Tip:** When dealing with multiple expressions, it's often helpful to simplify terms inside parentheses before multiplying across!

Identify the three expressions that multiply to 396 among given options. This problem involves understanding multiplication and factorization concepts. Suitable for students in Grades 6-8, it covers key mathematical principles like the fundamental theorem of arithmetic and prime factorization.

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