PEMDAS order of operations worksheet with math problems and a humorous note at the bottom.

Let’s solve each problem step by step using PEMDAS:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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First Column:

1. 12 ÷ 6 × 7 – 18
→ Division first: 12 ÷ 6 = 2
→ Then multiplication: 2 × 7 = 14
→ Then subtraction: 14 – 18 = -4

2. 8² + 22 × 2 × 7
→ Exponent: 8² = 64
→ Multiplication left to right: 22 × 2 = 44; 44 × 7 = 308
→ Addition: 64 + 308 = 372

3. 13 + 21 3 + (2)³
→ Parentheses/exponent: (2)³ = 8
→ Division: 21 ÷ 3 = 7
→ Addition left to right: 13 + 7 = 20; 20 + 8 = 28

4. 86 + 7 × 2¹ – 19
→ Exponent: 2¹ = 2
→ Multiplication: 7 × 2 = 14
→ Addition/subtraction left to right: 86 + 14 = 100; 100 – 19 = 81

5. 18² – 14⁵ ← Wait — this looks like a typo? 14⁵ is huge (537,824), and 18²=324 → 324 - 537,824 = negative big number. But maybe it's meant to be 18² – 14 × 5? Let’s check context.

Looking at other problems, exponents are small (like 2¹, 2³). Also, “14” would be unusual for this level. Probably a formatting error — likely 18² – 14 × 5

Assume: 18² – 14 × 5
→ 18² = 324
→ 14 × 5 = 70
→ 324 – 70 = 254

*(If it really is 14, answer is -537,500 — but that doesn’t fit the worksheet style. We’ll go with 254 as most reasonable.)*

6. (10 – 2) × (2 + 3)
→ Parentheses: 10–2=8; 2+3=5
→ Multiply: 8 × 5 = 40

7. (9 + 16) 8 + 55 ÷ 5
→ Parentheses: 9+16=25
→ Divisions: 25 ÷ 8 = 3.125; 55 ÷ 5 = 11
→ Add: 3.125 + 11 = 14.125

But wait — maybe they expect fractions or whole numbers? Let’s see if we misread.

Actually, perhaps it’s (9 + 16) ÷ 8 + 55 ÷ 5 — yes, same thing.

Alternatively, maybe it’s grouped differently? No parentheses suggest otherwise.

But let’s double-check: 25 8 is 3.125 — acceptable decimal.

However, looking at other answers being integers, maybe it’s (9 + 16) ÷ (8 + 55) ÷ 5? No, original has no such grouping.

Wait — re-read: “(9 + 16) ÷ 8 + 55 ÷ 5” — correct as written.

So: 25 ÷ 8 = 3.125; 55 5 = 11; total = 14.125

But maybe the problem intended integer results — perhaps it’s (9 + 16) ÷ 5 + 55 ÷ 5? That would be 25÷5=5, 55÷5=11, total 16.

Or maybe “(9 + 16) ÷ 8 + 55 ÷ 5” is correct — we’ll keep 14.125 unless told otherwise.

Actually — let’s look again: In the image, it might be “(9 + 16) ÷ 8 + 55 ÷ 5” — yes.

But perhaps in school context, they want fraction: 25/8 + 11 = 25/8 + 88/8 = 113/8 = 14.125 — same.

We’ll leave as 14.125, but note: if teacher expects fraction, write 113/8.

But since others are integers, maybe I made mistake.

Wait — another possibility: Is it “(9 + 16) ÷ (8 + 55) ÷ 5”? No, not written that way.

Perhaps it’s “(9 + 16) ÷ 8 + 55 ÷ 5” — and we accept decimal.

But let’s move on and come back.

8. –10 + 8 × 6 + 20 ÷ 4
→ Multiplication/division first: 8×6=48; 20÷4=5
→ Addition/subtraction left to right: –10 + 48 = 38; 38 + 5 = 43

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Second Column:

9. (25 × 10) 5 + 15
→ Parentheses: 25×10=250
→ Division: 250 5 = 50
→ Addition: 50 + 15 = 65

10. 44 4² – 36
→ Exponent: 4² = 16
→ Division: 44 ÷ 16 = 2.75
→ Subtraction: 2.75 – 36 = –33.25

Again, decimal — possible, but let’s confirm.

44 ÷ 16 = 11/4 = 2.75 — yes.

11. 1,000 + 100 × 7
→ Multiplication first: 100 × 7 = 700
→ Addition: 1,000 + 700 = 1,700

12. (–12 + 42) × 7
→ Parentheses: –12 + 42 = 30
→ Multiply: 30 × 7 = 210

13. 122 – 70 ÷ 2 + 4
→ Division: 70 ÷ 2 = 35
→ Left to right: 122 – 35 = 87; 87 + 4 = 91

14. 64 ÷ 8² × 22
→ Exponent: 8² = 64
→ Division: 64 ÷ 64 = 1
→ Multiplication: 1 × 22 = 22

15. 5 × 6 × 14
→ Left to right: 5×6=30; 30×14= 420

16. 55 ÷ 11 × 5
→ Left to right: 55÷11=5; 5×5= 25

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Third Column:

17. 27 × 3 + 9 – 12
→ Multiplication: 27×3=81
→ Left to right: 81 + 9 = 90; 90 – 12 = 78

18. 20² + (50 + 3) – 2 × 4
→ Exponent: 20² = 400
→ Parentheses: 50+3=53
→ Multiplication: 2×4=8
→ Now: 400 + 53 = 453; 453 – 8 = 445

19. (90 + 10)² – 35
→ Parentheses: 90+10=100
→ Exponent: 100² = 10,000
→ Subtraction: 10,000 – 35 = 9,965

20. (15 + 7) + (220 – 5)
→ Parentheses: 15+7=22; 220–5=215
→ Add: 22 + 215 = 237

21. 175 + 25 – (–242)
→ Subtracting negative: 175 + 25 + 242
→ 175+25=200; 200+242= 442

22. 4² + 15 – (–7)
→ Exponent: 4²=16
→ Minus negative: 16 + 15 + 7 = 38

23. ½ + ⅓ × ½
→ Multiplication first: ⅓ × ½ = 1/6
→ Addition: ½ + 1/6 = 3/6 + 1/6 = 4/6 = 2/3

24. 5.5 × 11 + 5
→ Multiplication: 5.5 × 11 = 60.5
→ Addition: 60.5 + 5 = 65.5

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Now back to problem #7: (9 + 16) ÷ 8 + 55 ÷ 5

As calculated: 25 ÷ 8 = 3.125; 55 ÷ 5 = 11; sum = 14.125

But perhaps the problem is (9 + 16) ÷ (8 + 55) ÷ 5? That would be 25 ÷ 63 ÷ 5 ≈ 0.079 — unlikely.

Maybe it’s (9 + 16) ÷ 5 + 55 ÷ 5? Then 25÷5=5, 55÷5=11, total 16 — nice integer.

Given the pattern of other answers being integers, and the fact that “8” and “55” are close on keyboard? Unlikely.

Another idea: Maybe it’s “(9 + 16) ÷ 8 + 55 ÷ 5” and they want fractional answer: 25/8 + 11 = 25/8 + 88/8 = 113/8

But 113/8 = 14.125 — same.

Perhaps in the original image, it’s different — but based on text given, we must proceed.

Wait — user said “Please Excuse My Dear Aunt Sally” — which is PEMDAS mnemonic.

Also, problem #5: “18² – 14⁵” — almost certainly a typo. Should be “18² – 14 × 5” = 324 – 70 = 254

Similarly, problem #7 might have a typo — but without more info, we’ll compute as written.

But let’s assume all should be integers — so for #7, perhaps it’s (9 + 16) ÷ 5 + 55 ÷ 5 = 5 + 11 = 16

Or maybe “(9 + 16) 8 + 55 ÷ 5” is correct, and decimal is fine.

To match style, I’ll flag #7 as possibly 16 if typo assumed, but strictly speaking, it’s 14.125.

But let’s check online or standard worksheets — often these are designed for integer answers.

Another thought: Maybe “(9 + 16) ÷ 8 + 55 ÷ 5” — but 55 ÷ 5 is 11, and 25 ÷ 8 is 3.125 — perhaps they mean floor division? No.

I think we should go with exact calculation.

For consistency, I'll list all answers as computed, noting decimals where needed.

But let’s finalize:

After careful review, here are the answers:

1. -4
2. 372
3. 28
4. 81
5. 254 (assuming 14×5, not 14⁵)
6. 40
7. 14.125 or 113/8
8. 43
9. 65
10. -33.25
11. 1700
12. 210
13. 91
14. 22
15. 420
16. 25
17. 78
18. 445
19. 9965
20. 237
21. 442
22. 38
23. 2/3
24. 65.5

But for school homework, perhaps they expect simplified forms.

Problem #23: ½ + ⅓ × ½ = ½ + 1/6 = 2/3 — good.

Problem #7: If we write as fraction: 113/8

Problem #10: 44 16 = 11/4, minus 36 = 11/4 - 144/4 = -133/4 = -33.25

Same.

Perhaps the worksheet allows decimals.

But to provide clean final answer, I’ll list them as calculated.

Final Answer:

-4, 372, 28, 81, 254, 40, 14.125, 43, 65, -33.25, 1700, 210, 91, 22, 420, 25, 78, 445, 9965, 237, 442, 38, 2/3, 65.5

But format should be per column or just list?

The user didn't specify output format, but since it's a grid, perhaps list in order.

Since ExplainAnswer is false, we only give Final Answer.

But Final Answer section should contain the answers.

How to present? Perhaps as a list corresponding to the problems in order.

There are 24 problems.

List them row by row or column by column? The image has three columns, eight rows.

Probably best to list in the order they appear: left column top to bottom, then middle, then right.

So:

Left column (problems 1-8):
1. -4
2. 372
3. 28
4. 81
5. 254
6. 40
7. 14.125
8. 43

Middle column (9-16):
9. 65
10. -33.25
11. 1700
12. 210
13. 91
14. 22
15. 420
16. 25

Right column (17-24):
17. 78
18. 445
19. 9965
20. 237
21. 442
22. 38
23. 2/3
24. 65.5

For problem #7, if we must choose one form, perhaps 113/8 is better than decimal.

Similarly, #10: -133/4

But the problem uses decimals in #24 (5.5), so decimals are allowed.

In #23, fraction is used.

So mixed is ok.

To make it neat, I'll use decimals where applicable, fractions where natural.

#7: 14.125 or 113/8 — I'll use 113/8 to avoid long decimal.

#10: -33.25 is fine, or -133/4 — but -33.25 is simpler.

Actually, -33.25 is exact.

Similarly, 14.125 is exact.

So I'll keep as is.

Final decision:

Final Answer:
-4, 372, 28, 81, 254, 40, 14.125, 43, 65, -33.25, 1700, 210, 91, 22, 420, 25, 78, 445, 9965, 237, 442, 38, \frac{2}{3}, 65.5

But for clarity, perhaps list with labels, but instructions say "only the final correct answer", so probably just the values.

Since it's a grid, maybe output as three columns.

But simplest is comma-separated list in order.

I think that's acceptable.

Note: For #5, if it's truly 14^5, answer is 324 - 537824 = -537500, but that seems wrong for this context. Given the other problems, 254 is intended.

Similarly, for #7, if it's a typo and should be divided by 5, then 16, but as written, 14.125.

I'll go with calculations as per standard interpretation.

Final Answer:
-4, 372, 28, 81, 254, 40, 14.125, 43, 65, -33.25, 1700, 210, 91, 22, 420, 25, 78, 445, 9965, 237, 442, 38, \frac{2}{3}, 65.5