**PEMDAS**

**Order of operations, also known as PEMDAS, is a set of rules that tells you which mathematical operation to perform first in a given expression.**

**PEMDAS stands for:**

**P – Parentheses**

**E – Exponents**

**M – Multiplication**

**D – Division**

**A – Addition**

**S – Subtraction**

**The order of these letters tells you the order in which you should perform the operations. Here’s how it works:**

**First, you perform any calculations inside parentheses. If there are multiple sets of parentheses, you start with the innermost set and work your way out.**

**Next, you evaluate any exponents (i.e., numbers with superscripts).**

**Then, you perform multiplication and division, working from left to right. If there are no multiplication or division operations in the expression, you skip this step.**

**Finally, you perform addition and subtraction, working from left to right. If there are no addition or subtraction operations in the expression, you skip this step.**

**Example**

**6 + 3 x 2^2 / (1 + 2)**

**First, we look for any parentheses. **

**There aren’t any, so we move on to exponents. 2^2 = 4.**

**6 + 3 x 4 / (1 + 2)**

**Next, we perform multiplication and division, **

**working from left to right. 3 x 4 = 12.**

**6 + 12 / (1 + 2)**

**Now we perform addition and subtraction, **

**working from left to right. 12 / (1 + 2) = 4.**

**6 + 4**

**Finally, we add 6 and 4 to get the answer, which is 10.**

**So, the solution to the expression 6 + 3 x 2^2 / (1 + 2) using PEMDAS is 10.**

**Note,following the order of operations is crucial to getting the correct answer in any math problem.**

**1.Evaluate 4 + 2 x 3 – 5**

**Solution: **

**Start with multiplication: 2 x 3 = 6. **

**Then evaluate addition and subtraction in order from left to right: **

**4 + 6 – 5 = 5. **

**Answer: 5.**

**Requested by: Ali Akbar**

**2.Evaluate 10 – 3 x 2 + 8 / 4**

**Solution: **

**Start with multiplication: 3 x 2 = 6. **

**Then evaluate division: 8 / 4 = 2. **

**Then evaluate addition and subtraction in order from left to right: **

**10 – 6 + 2 = 6. **

**Answer: 6.**

**Requested by: Hameed**

**3.Evaluate (6 – 3) x 5 + 7**

**Solution: **

**Start with parentheses: 6 – 3 = 3. **

**Then evaluate multiplication: 3 x 5 = 15. **

**Then evaluate addition: 15 + 7 = 22. **

**Answer: 22.**

**Requested by: Asadullah**

**4.Evaluate 20 / (4 – 2) + 3 x 2**

**Solution: **

**Start with parentheses: 4 – 2 = 2. **

**Then evaluate division: 20 / 2 = 10. **

**Then evaluate multiplication: 3 x 2 = 6.**

**Then evaluate addition: 10 + 6 = 16. **

**Answer: 16.**

**Requested by: Kabeer**

**5.Evaluate (4 + 5) x (3 – 1)**

**Solution: **

**Start with parentheses: 4 + 5 = 9 and 3 – 1 = 2. **

**Then evaluate multiplication: 9 x 2 = 18. **

**Answer: 18.**

**Requested by: Asadullah**

**6.Evaluate 6 x (5 + 3) – 7 / 2**

**Solution: **

**Start with parentheses: 5 + 3 = 8. **

**Then evaluate multiplication: 6 x 8 = 48. **

**Then evaluate division: 7 / 2 = 3.5. **

**Finally, evaluate subtraction: 48 – 3.5 = 44.5. **

**Answer: 44.5**

**Requested by: Asadullah**

**7.Evaluate 12 / 3 + 8 x 2 – 7**

**Solution: **

**Start with division: 12 / 3 = 4. **

**Then evaluate multiplication: 8 x 2 = 16. **

**Then evaluate addition and subtraction in order from left to right: 4 + 16 – 7 = 13. **

**Answer: 13.**

**Requested by: Ali Akbar**

**8.Evaluate 7 x 2 + 3 / (5 – 3)**

**Solution: **

**Start with parentheses: 5 – 3 = 2. **

**Then evaluate division: 3 / 2 = 1.5. **

**Then evaluate multiplication: 7 x 2 = 14. **

**Finally, evaluate addition: 14 + 1.5 = 15.5. **

**Answer: 15.5.**

**Requested by: Asadullah**

**9.Evaluate (4 x 5) + 2 / 3 – 1**

**Solution: **

**Start with multiplication: 4 x 5 = 20. **

**Then evaluate division: 2 / 3 = 0.6666 (rounded to four decimal places). **

**Then evaluate addition and subtraction 20 + 0.6666 – 1 = 19.6666**

**Answer: 19.6666.**

**Requested by: Aakash**

**10.Evaluate 6 x 2 – 5 / (3 + 1)**

**Solution: **

**Start with parentheses: 3 + 1 = 4. **

**Then evaluate division: 5 / 4 = 1.25. **

**Then evaluate multiplication: 6 x 2 = 12. **

**Finally, evaluatesubtraction: 12 – 1.25 = 10.75. **

**Answer: 10.75.**

**Requested by: Aakash**

**11.Evaluate (7 – 2) x 3 + 6 / 2**

**Solution: **

**Start with parentheses: 7 – 2 = 5. **

**Then evaluate multiplication: 5 x 3 = 15. **

**Then evaluate division: 6 / 2 = 3. **

**Finally, evaluate addition: 15 + 3 = 18. **

**Answer: 18.**

**Requested by: Asadullah**

**12.Evaluate 10 / 2 x 3 + 8 – 2 x 5**

**Solution: **

**Start with division: 10 / 2 = 5. **

**Then evaluate multiplication: 5 x 3 = 15 and 2 x 5 = 10. **

**Then evaluate addition and subtraction 15 + 8 – 10 = 13.**

**Answer: 13.**

**Requested by: Aakash**

**13.Evaluate (4 + 2) x 3 – 5 x 2**

**Solution: **

**Start with parentheses: 4 + 2 = 6. **

**Then evaluate multiplication: 6 x 3 = 18 and 5 x 2 = 10.**

**Finally, evaluate subtraction: 18 – 10 = 8. **

**Answer: 8.**

**Requested by: Ali Akbar**

**13.Evaluate 9 + 6 x (8 – 3) / 2**

**Solution: **

**Start with parentheses: 8 – 3 = 5. **

**Then evaluate division: 6 x 5 / 2 = 15. **

**Finally, evaluate addition: 9 + 15 = 24. **

**Answer: 24.**

**Requested by: Asadullah**

**14.Evaluate 7 + 5 x 2 – 3 / 2**

**Solution: **

**Start with multiplication: 5 x 2 = 10. **

**Then evaluate division: 3 / 2 = 1.5. **

**Finally, evaluate addition and subtraction 7 + 10 – 1.5 = 15.5. **

**Answer: 15.5.**

**Requested by: Asadullah**

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