Order of Operations with Calculators Worksheet | Fun and Engaging ... - Free Printable

Absolutely! Let’s solve each calculation step-by-step using BIDMAS (Brackets, Indices, Division/Multiplication, Addition/Subtraction — same as PEMDAS). I’ll show you the correct answer for “Your Answer” and “Calculator’s Answer” (which should be identical if you follow BIDMAS correctly), and then indicate whether you were correct.

---

🔢 Main Table Solutions

---

#### 1. `7 + 2 × 3`
- BIDMAS: Multiply first → 2 × 3 = 6
- Then add: 7 + 6 = 13
✔ Your Answer: 13
✔ Calculator’s answer: 13
✔ Were you correct? Yes

---

#### 2. `8 + 18 ÷ 2`
- Divide first: 18 ÷ 2 = 9
- Then add: 8 + 9 = 17
✔ Your Answer: 17
✔ Calculator’s answer: 17
✔ Were you correct? Yes

---

#### 3. `6 - 4 × 5`
- Multiply first: 4 × 5 = 20
- Then subtract: 6 - 20 = -14
✔ Your Answer: -14
✔ Calculator’s answer: -14
✔ Were you correct? Yes

---

#### 4. `10 - 2 + 5 × 11`
- Multiply first: 5 × 11 = 55
- Left to right: 10 - 2 = 8, then 8 + 55 = 63
✔ Your Answer: 63
✔ Calculator’s answer: 63
✔ Were you correct? Yes

---

#### 5. `7 × 4 + 3 × 10`
- Multiply both: 7×4=28, 3×10=30
- Add: 28 + 30 = 58
✔ Your Answer: 58
✔ Calculator’s answer: 58
✔ Were you correct? Yes

---

#### 6. `36 ÷ 2²`
- Indices first: 2² = 4
- Then divide: 36 ÷ 4 = 9
✔ Your Answer: 9
✔ Calculator’s answer: 9
✔ Were you correct? Yes

---

#### 7. `25 + (12 - 4 × 2)`
- Brackets first: Inside → 4×2=8, then 12-8=4
- Then 25 + 4 = 29
✔ Your Answer: 29
✔ Calculator’s answer: 29
✔ Were you correct? Yes

---

#### 8. `-7 + 5 × 6`
- Multiply first: 5×6=30
- Then: -7 + 30 = 23
✔ Your Answer: 23
✔ Calculator’s answer: 23
✔ Were you correct? Yes

---

#### 9. `2 - 32 ÷ 8`
- Divide first: 32÷8=4
- Then: 2 - 4 = -2
✔ Your Answer: -2
✔ Calculator’s answer: -2
✔ Were you correct? Yes

---

#### 10. `0.5 + 0.1 × 4`
- Multiply first: 0.1×4=0.4
- Then: 0.5 + 0.4 = 0.9
✔ Your Answer: 0.9
✔ Calculator’s answer: 0.9
✔ Were you correct? Yes

---

#### 11. `4 × 5²`
- Indices first: 5²=25
- Then multiply: 4×25 = 100
✔ Your Answer: 100
✔ Calculator’s answer: 100
✔ Were you correct? Yes

---

#### 12. `(3² - 1)²`
- Inner indices: 3²=9
- Then: 9 - 1 = 8
- Then square: 8² = 64
✔ Your Answer: 64
✔ Calculator’s answer: 64
✔ Were you correct? Yes

---

#### 13. `50 - (10 + 10 ÷ 5)`
- Inside brackets: 10÷5=2, then 10+2=12
- Then: 50 - 12 = 38
✔ Your Answer: 38
✔ Calculator’s answer: 38
✔ Were you correct? Yes

---

#### 14. `(12 - 48 ÷ 12)²`
- Inside: 48÷12=4, then 12-4=8
- Square: 8² = 64
✔ Your Answer: 64
✔ Calculator’s answer: 64
✔ Were you correct? Yes

---

#### 15. `100 - 2(14 + 26)`
- Brackets: 14+26=40
- Multiply: 2×40=80
- Subtract: 100 - 80 = 20
✔ Your Answer: 20
✔ Calculator’s answer: 20
✔ Were you correct? Yes

---

🧩 Extension Questions

---

#### 1) Work out `3 × 3`
→ 9

#### 2) Work out `-3 × -3`
→ Negative × Negative = Positive → 9

#### 3) Use your calculator to work out `-3²`

⚠️ This is a TRICKY ONE!

- Mathematically, `-3²` means `-(3²)` = -9 (because exponentiation comes before negation in BIDMAS/PEMDAS).
- However, many calculators interpret `-3²` as `(-3)²` if you press the minus key before entering 3 — which gives +9.
- So depending on how you enter it:
- If you type: `3`, then `x²`, then `+/-` → you get -9
- If you type: `+/-`, `3`, then `x²` → you get +9

➡️ Is the calculator wrong?

NO — but it depends on how you input it.

The correct mathematical interpretation of `-3²` is -9 (since exponentiation has higher precedence than unary minus).

However, many calculators treat the `-` key as part of the number when pressed first, so they compute `(-3)² = 9`.

So:

> ✔ The calculator is not "wrong" — it’s following its own input logic. But mathematically, without parentheses, -3² = -9.

You must use parentheses if you want `(-3)²`.

---

📝 Final Summary Table (for your worksheet):

| Calculation | Your Answer | Calculator’s Answer | Were you correct? |
|-----------------------|-------------|----------------------|-------------------|
| 7 + 2 × 3 | 13 | 13 | Yes |
| 8 + 18 ÷ 2 | 17 | 17 | Yes |
| 6 - 4 × 5 | -14 | -14 | Yes |
| 10 - 2 + 5 × 11 | 63 | 63 | Yes |
| 7 × 4 + 3 × 10 | 58 | 58 | Yes |
| 36 ÷ 2² | 9 | 9 | Yes |
| 25 + (12 - 4 × 2) | 29 | 29 | Yes |
| -7 + 5 × 6 | 23 | 23 | Yes |
| 2 - 32 ÷ 8 | -2 | -2 | Yes |
| 0.5 + 0.1 × 4 | 0.9 | 0.9 | Yes |
| 4 × 5² | 100 | 100 | Yes |
| (3² - 1)² | 64 | 64 | Yes |
| 50 - (10 + 10 ÷ 5) | 38 | 38 | Yes |
| (12 - 48 ÷ 12)² | 64 | 64 | Yes |
| 100 - 2(14 + 26) | 20 | 20 | Yes |

---

📌 Extension Answers:

1) `3 × 3 = 9`
2) `-3 × -3 = 9`
3) `-3² = -9` (mathematically), but calculator may show 9 if entered as `(-3)²` — not wrong, just different input interpretation.

---

✔ You’ve now mastered BIDMAS/PEMDAS and understand calculator behavior!

Let me know if you’d like this as a printable table or need help with more problems!