Order of Operations With Integers-BIDMAS Worksheets (with ... - Free Printable

Let’s solve each problem one by one, following the order of operations (BIDMAS):

BIDMAS stands for:
- Brackets first
- Indices (powers and roots)
- Division and Multiplication (left to right)
- Addition and Subtraction (left to right)

---

Problem 17:

(-16 + 12)³ + (-8)²

Step 1: Solve inside brackets → (-16 + 12) = -4
→ Now we have: (-4)³ + (-8)²

Step 2: Calculate indices
(-4)³ = -4 × -4 × -4 = 16 × -4 = -64
(-8)² = -8 × -8 = 64

Step 3: Add them → -64 + 64 = 0

✔ Final Answer for 17: 0

---

Problem 18:

(-20) ÷ 5 + (-25) ÷ (-5)

Step 1: Do divisions left to right
(-20) ÷ 5 = -4
(-25) ÷ (-5) = 5 (negative divided by negative is positive)

Step 2: Add → -4 + 5 = 1

✔ Final Answer for 18: 1

---

Problem 19:

8 × (-2) + 2 × (-7)

Step 1: Multiplications first
8 × (-2) = -16
2 × (-7) = -14

Step 2: Add → -16 + (-14) = -16 - 14 = -30

✔ Final Answer for 19: -30

---

Problem p):

10² ÷ (5 + 5)²

Step 1: Brackets → (5 + 5) = 10
→ Now: 10² ÷ 10²

Step 2: Indices
10² = 100
So: 100 ÷ 100 = 1

✔ Final Answer for p): 1

---

Problem r):

3 + 7² - (2 + 4)

Step 1: Brackets → (2 + 4) = 6
→ Now: 3 + 7² - 6

Step 2: Indices → 7² = 49
→ Now: 3 + 49 - 6

Step 3: Left to right addition/subtraction
3 + 49 = 52
52 - 6 = 46

✔ Final Answer for r): 46

---

Problem t):

(1 + 1)⁴ + 3⁰ - (3 - 1)³

Step 1: Brackets
(1 + 1) = 2 → 2⁴
(3 - 1) = 2 → 2³
Also, 3⁰ = 1 (any number to power 0 is 1)

Now: 2⁴ + 1 - 2³

Step 2: Indices
2⁴ = 16
2³ = 8

→ 16 + 1 - 8

Step 3: Left to right
16 + 1 = 17
17 - 8 = 9

✔ Final Answer for t): 9

---

Problem c):

(48 ÷ 4²) / (30 ÷ 10) ← This is a fraction with numerator and denominator

First, simplify numerator: 48 ÷ 4²
4² = 16 → 48 ÷ 16 = 3

Denominator: 30 ÷ 10 = 3

So: 3 / 3 = 1

✔ Final Answer for c): 1

---

Problem e):

(7² + (15 - 10)⁰) / ? ← Wait, the image cuts off. But looking at what’s visible:

It says:
7² + (15 - 10)⁰ = ? — assuming it's just evaluating that expression (since denominator isn’t shown, maybe it’s not a fraction? Or perhaps typo?)

But in the image, it looks like it might be part of a fraction — but since only top is fully visible, let’s assume it’s asking to evaluate:

7² + (15 - 10)⁰

Step 1: Brackets → (15 - 10) = 5 → 5⁰ = 1
Step 2: Indices → 7² = 49
Step 3: Add → 49 + 1 = 50

If this was meant to be over something else, we don’t have info — so based on what’s visible, answer is 50.

✔ Final Answer for e): 50

---

Fraction Problem (bottom left, unlabeled):

[ -40 + 3 × (3 + 7) ] / [ 5 × (2¹ - 1²) ]

Numerator: -40 + 3 × (3 + 7)
Denominator: 5 × (2¹ - 1²)

Step 1: Brackets
Numerator: (3 + 7) = 10 → 3 × 10 = 30 → -40 + 30 = -10
Denominator: 2¹ = 2, 1² = 1 → 2 - 1 = 1 → 5 × 1 = 5

Step 2: Divide → -10 ÷ 5 = -2

✔ Final Answer for this fraction: -2

---

## ✔ Final Answers Summary:

17) 0
18) 1
19) -30
p) 1
r) 46
t) 9
c) 1
e) 50
Fraction problem: -2

Final Answer:
0, 1, -30, 1, 46, 9, 1, 50, -2