Integer Operations #3 | Interactive Worksheet - Free Printable

Let’s solve each problem one by one. We’ll go row by row, left to right.

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Row 1:

1. 4 ÷ (-½)
Dividing by a fraction = multiplying by its reciprocal.
Reciprocal of -½ is -2.
So: 4 × (-2) = -8

2. -11 + 7
Start at -11, move 7 steps right → -4
Answer: -4

3. 9 – (-43)
Subtracting a negative = adding the positive.
9 + 43 = 52

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Row 2:

4. -48 – (-48)
Again, subtracting negative = add positive.
-48 + 48 = 0

5. -6 · 5
Negative times positive = negative.
6×5=30 → so -30

6. -15 ÷ (-8)
Negative divided by negative = positive.
15 ÷ 8 = 1.875 or as fraction: 15/8 (we can leave as improper fraction unless told otherwise)

But let’s check if they want decimal or fraction — since others are integers, maybe keep as fraction? Actually, 15÷8 doesn’t simplify, so we’ll write it as 15/8 or 1.875. But looking at other problems, some have decimals? Let’s see later ones. For now, I’ll use fractions where needed.

Actually, let me recheck instruction: “Find each sum, difference, product, or quotient.” No specification, so either is fine. But for consistency with integer operations, perhaps they expect exact values. Since 15 and 8 share no common factors, 15/8 is acceptable. But let’s hold on — maybe I made a mistake? Wait, problem #6 is: -15 ÷ (-8). Yes, that’s correct.

Wait — actually, looking back at the image layout, all answers seem to be integers except possibly this one. Did I misread?

Wait — let me double-check the original problem numbers from the image description:

Looking again: Problem 6 is “-15 ÷ (-8)” — yes. That’s not an integer. Hmm. Maybe it’s okay. Or did I misread the number?

Wait — perhaps it’s -16 ÷ (-8)? No, user wrote “-15 ÷ (-8)”. Okay, we’ll proceed.

So: -15 ÷ (-8) = 15/8 = 1.875

But let’s continue and come back if needed.

Actually, wait — maybe I should calculate all first and then verify.

Let’s keep going.

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Row 3:

7. -7 + 7
Opposites cancel → 0

8. -45 ÷ 9
Negative ÷ positive = negative.
45 ÷ 9 = 5 → so -5

9. 10 ÷ (-4)
Positive ÷ negative = negative.
10 ÷ 4 = 2.5 → so -2.5 or -5/2

Again, non-integer. Okay.

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Row 4:

10. 8 · 19
8×20 = 160, minus 8 = 152 → 152

11. -13 + (-15)
Adding two negatives: -(13+15) = -28

12. -56 ÷ 8
Negative ÷ positive = negative.
56 ÷ 8 = 7 → so -7

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Row 5:

13. -5 × 803
Negative × positive = negative.
5×800=4000, 5×3=15 → total 4015 → so -4015

14. 42 ÷ (-2)
Positive ÷ negative = negative.
42 ÷ 2 = 21 → so -21

15. 16 ÷ (-29)
Positive ÷ negative = negative.
16/29 → already simplified → -16/29

Another fraction. Okay.

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Row 6:

16. -60 ÷ (-5)
Negative ÷ negative = positive.
60 ÷ 5 = 12 → 12

17. -51 ÷ (-63)
Negative ÷ negative = positive.
Simplify 51/63 → divide numerator and denominator by 3: 17/21 → 17/21

Fraction again.

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Row 7:

18. -49 + (-146)
Add absolute values, keep negative sign.
49 + 146 = 195 → so -195

19. 68 ÷ (-71)
Positive ÷ negative = negative.
68/71 → already simplified → -68/71

Fraction.

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Row 8:

20. -204 ÷ (-12)
Negative ÷ negative = positive.
204 ÷ 12: 12×17=204 → so 17

21. -17 - (-411)
Subtracting negative = add positive.
-17 + 411 = 394 → 394

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Row 9:

22. -54 × 104
Negative × positive = negative.
First, 54×100=5400, 54×4=216 → total 5616 → so -5616

23. -23 × 74
Negative × positive = negative.
23×70=1610, 23×4=92 → total 1702 → so -1702

24. -23 × 74 — wait, same as above? No, problem 24 is different.

Wait — looking back:

Problem 24: “-17 - (-411)” — already done as #21? No, let's list properly.

Wait, I think I messed up numbering.

Let me restart with clear numbering based on grid:

The grid has 9 rows, 3 columns → 27 problems.

Let me label them by position:

Column 1: Problems 1,4,7,10,13,16,19,22,25
Column 2: 2,5,8,11,14,17,20,23,26
Column 3: 3,6,9,12,15,18,21,24,27

So let’s redo in order 1 to 27.

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Problem 1: 4 ÷ (-½) = 4 × (-2) = -8

Problem 2: -11 + 7 = -4

Problem 3: 9 – (-43) = 9 + 43 = 52

Problem 4: -48 – (-48) = -48 + 48 = 0

Problem 5: -6 · 5 = -30

Problem 6: -15 ÷ (-8) = 15/8 = 1.875 → but let's write as fraction: 15/8

Problem 7: -7 + 7 = 0

Problem 8: -45 ÷ 9 = -5

Problem 9: 10 ÷ (-4) = -10/4 = -5/2 = -2.5

Problem 10: 8 · 19 = 152

Problem 11: -13 + (-15) = -28

Problem 12: -56 ÷ 8 = -7

Problem 13: -5 × 803 = -4015

Problem 14: 42 ÷ (-2) = -21

Problem 15: 16 ÷ (-29) = -16/29

Problem 16: -60 ÷ (-5) = 12

Problem 17: -51 ÷ (-63) = 51/63 = 17/21

Problem 18: -49 + (-146) = -195

Problem 19: 68 ÷ (-71) = -68/71

Problem 20: -204 ÷ (-12) = 17

Problem 21: -17 - (-411) = -17 + 411 = 394

Problem 22: -54 × 104

Calculate: 54×100=5400, 54×4=216 → 5400+216=5616 → so -5616

Problem 23: -23 × 74

23×70=1610, 23×4=92 → 1610+92=1702 → so -1702

Problem 24: -17 - (-411) — wait, that’s same as problem 21? No!

Wait, problem 24 is in column 3, row 8: looking back at initial list:

From user input:

After problem 21: "21. -17 - (-411) ="

Then:

"22. -54 × 104 ="

"23. -23 × 74 ="

"24. -17 - (-411) =" — oh! It's repeated? That can't be.

Wait, let's look at the original text provided by user:

In the user's message, after problem 21, it says:

"22. -54 × 104 ="

"23. -23 × 74 ="

"24. -17 - (-411) =" — but that's identical to problem 21.

That must be a typo in the user's transcription.

Looking back at the image description in the user's prompt:

The user wrote:

"21. -17 - (-411) ="

Then later:

"24. -17 - (-411) =" — same thing.

But in the actual image, probably problem 24 is different.

Wait, let's read the user's full input carefully:

User said:

"21. -17 - (-411) ="

Then:

"22. -54 × 104 ="

"23. -23 × 74 ="

"24. -17 - (-411) =" — yes, same as 21.

That doesn't make sense. Probably a copy-paste error.

Looking at standard worksheets, likely problem 24 is something else.

Perhaps it's "-17 × (-411)"? Or different numbers.

Wait, in the initial list, problem 24 is listed as: "24. -17 - (-411) =" but that's duplicate.

Alternatively, maybe it's "-117 - (-411)" or something.

To resolve this, let's assume it's a typo, and based on common patterns, perhaps problem 24 is "-117 - (-411)" or similar.

But to be accurate, let's check the very end of the user's input:

User wrote:

"25. -206 - 279 ="

"26. -852 ÷ 6 ="

"27. -818 + 478 ="

And before that:

"24. -17 - (-411) =" — which is same as 21.

This must be an error. Perhaps in the original image, problem 24 is different.

Maybe it's "-17 × (-411)"? Let's calculate that just in case.

-17 × (-411) = positive, 17×411.

17×400=6800, 17×11=187, total 6987 → so 6987.

But that's speculative.

Another possibility: perhaps problem 24 is "-117 - (-411)".

-117 + 411 = 294.

Or "-17 - (-41)" = -17 +41 = 24.

But without knowing, I'll have to go with what's written.

Since the user explicitly wrote "24. -17 - (-411) =", and it's the same as 21, I'll compute it as such, but note that it's duplicate.

So problem 24: -17 - (-411) = -17 + 411 = 394 — same as problem 21.

Okay, moving on.

Problem 25: -206 - 279

Both negative in effect: - (206 + 279) = -485

Because -206 - 279 = -(206+279) = -485

Problem 26: -852 ÷ 6

Negative ÷ positive = negative.

852 ÷ 6: 6×142=852, so -142

Problem 27: -818 + 478

Start at -818, add 478: move right 478 units.

818 - 478 = 340, so since larger magnitude is negative, result is -340

-818 + 478 = -(818 - 478) = -340

Now, let's compile all answers.

But earlier I had fractions for some. Let's list all 27:

1. -8
2. -4
3. 52
4. 0
5. -30
6. 15/8 or 1.875 — but let's use fraction: 15/8
7. 0
8. -5
9. -5/2 or -2.5 — -5/2
10. 152
11. -28
12. -7
13. -4015
14. -21
15. -16/29
16. 12
17. 17/21
18. -195
19. -68/71
20. 17
21. 394
22. -5616
23. -1702
24. 394 (same as 21)
25. -485
26. -142
27. -340

Now, for the fractional answers, perhaps the worksheet expects decimals, but since no specification, fractions are precise.

But let's verify problem 6: -15 ÷ (-8) = 15/8 = 1.875 — correct.

Problem 9: 10 ÷ (-4) = -2.5 = -5/2 — correct.

Problem 15: 16 ÷ (-29) = -16/29 — correct.

Problem 17: -51 ÷ (-63) = 51/63 = 17/21 — correct.

Problem 19: 68 ÷ (-71) = -68/71 — correct.

All seem correct.

Now, for the final answer, since the user asked to solve the problem, and there are 27 problems, I need to provide all answers.

But the instruction says: "Final Answer: [Provide only the final correct answer]"

But there are multiple answers. How to handle?

Probably, list them in order.

Perhaps box each or list sequentially.

Since it's a worksheet, likely expect all answers filled.

So I'll list them as a sequence.

But to match format, perhaps write:

Final Answer:
1. -8
2. -4
3. 52
4. 0
5. -30
6. \frac{15}{8}
7. 0
8. -5
9. -\frac{5}{2}
10. 152
11. -28
12. -7
13. -4015
14. -21
15. -\frac{16}{29}
16. 12
17. \frac{17}{21}
18. -195
19. -\frac{68}{71}
20. 17
21. 394
22. -5616
23. -1702
24. 394
25. -485
26. -142
27. -340

But problem 24 is duplicate of 21, which might be intentional or error, but based on given, we'll keep it.

To confirm, let's double-check a few calculations.

Problem 13: -5 × 803 = -4015 — yes, 5×800=4000, 5×3=15, total 4015, negative.

Problem 22: -54 × 104 = - (54×104)

54×100=5400, 54×4=216, sum 5616, so -5616 — correct.

Problem 25: -206 - 279 = - (206+279) = -485 — 200+279=479, plus 6 is 485, yes.

Problem 27: -818 + 478 = - (818 - 478) = -340 — 818-400=418, 418-78=340, yes.

All good.

For fractions, they are reduced.

So final answer is the list above.

But since the instruction says "Final Answer: [Provide only the final correct answer]", and there are many, I'll present them in a boxed list or something.

Perhaps write as a comma-separated list, but better to number them.

I think it's acceptable to list them numbered.

So here goes.