UESTION 2
1 Which properties of numbers are used in the following equations?

Ask by Parry O'Quinn. in South Africa

Mar 06,2025

Question

UESTION 2 1 Which properties of numbers are used in the following equations? $$ 2.1 .1(12 	imes 13) 	imes 14=12 	imes(13 	imes 14) $$

UpStudy AI · Accepted Answer

Below is the step-by-step explanation in Markdown format:

---

### Problem Statement

Determine which properties of numbers are used in the following equation:

$$
(12 \times 13) \times 14 = 12 \times (13 \times 14)
$$

---

### Step 1: Identify the Operation

The operation involved in the expression is multiplication.

---

### Step 2: Analyze the Equation

The equation shows that the product is the same regardless of how the numbers are grouped:

- On the left-hand side, the numbers $$12$$ and $$13$$ are multiplied first, and then the result is multiplied by $$14$$.
- On the right-hand side, the numbers $$13$$ and $$14$$ are multiplied first, and then the result is multiplied by $$12$$.

This indicates that the way the numbers are grouped does not change the final product.

---

### Step 3: Recognize the Relevant Property

This property is known as the **associative property of multiplication**. According to this property, for any three numbers $$a$$, $$b$$, and $$c$$:

$$
(a \times b) \times c = a \times (b \times c)
$$

In our given equation, we have:
- $$a = 12$$
- $$b = 13$$
- $$c = 14$$

Thus, the equation:

$$
(12 \times 13) \times 14 = 12 \times (13 \times 14)
$$

is a direct application of the associative property of multiplication.

---

### Final Answer

The property used in the given equation is the **associative property of multiplication**.

---
The associative property of multiplication is used in the equation. --- **Simplified Answer:** The associative property of multiplication is used.

UESTION 2
1 Which properties of numbers are used in the following equations?

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Pre Algebra Questions