EXERCISE 1 Caleulate the value of the following without us $$ \begin{array}{ll} ext { (a) } 2+4 imes 3 & ext { (b) }(2+4) imes 3 \ ext { (d) } 2 imes(4+3) & ext { (e) } 8-3 imes 2\end{array} $$

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EXERCISE 1 Caleulate the value of the following without us $$ \begin{array}{ll}	ext { (a) } 2+4 	imes 3 & 	ext { (b) }(2+4) 	imes 3 \ 	ext { (d) } 2 	imes(4+3) & 	ext { (e) } 8-3 	imes 2\end{array} $$

UpStudy AI · Accepted Answer

Sure, let's calculate each of the expressions step by step without using a calculator. We'll follow the order of operations, commonly remembered by the acronym **PEMDAS** (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### (a) $$ 2 + 4 \times 3 $$

**Step 1:** Identify the operations.
- Addition (`+`)
- Multiplication (`×`)

**Step 2:** Follow the order of operations.
- **Multiplication first**, then addition.

**Calculation:**
$$
2 + 4 \times 3 = 2 + 12 = 14
$$

**Answer:** $$ 14 $$

---

### (b) $$ (2 + 4) \times 3 $$

**Step 1:** Identify the operations.
- Parentheses (`( )`)
- Addition (`+`)
- Multiplication (`×`)

**Step 2:** Follow the order of operations.
- **Parentheses first**, then multiplication.

**Calculation:**
$$
(2 + 4) \times 3 = 6 \times 3 = 18
$$

**Answer:** $$ 18 $$

---

### (d) $$ 2 \times (4 + 3) $$

**Step 1:** Identify the operations.
- Parentheses (`( )`)
- Addition (`+`)
- Multiplication (`×`)

**Step 2:** Follow the order of operations.
- **Parentheses first**, then multiplication.

**Calculation:**
$$
2 \times (4 + 3) = 2 \times 7 = 14
$$

**Answer:** $$ 14 $$

---

### (e) $$ 8 - 3 \times 2 $$

**Step 1:** Identify the operations.
- Subtraction (`-`)
- Multiplication (`×`)

**Step 2:** Follow the order of operations.
- **Multiplication first**, then subtraction.

**Calculation:**
$$
8 - 3 \times 2 = 8 - 6 = 2
$$

**Answer:** $$ 2 $$

---

**Summary of Answers:**
- **(a)** $$ 14 $$
- **(b)** $$ 18 $$
- **(d)** $$ 14 $$
- **(e)** $$ 2 $$

If you have any further questions or need additional explanations, feel free to ask!
Here are the answers: - (a) 14 - (b) 18 - (d) 14 - (e) 2

EXERCISE 1
Caleulate the value of the following without us

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