Math worksheet with integer operations and multiple-choice questions.

Let's solve each question step by step and explain the reasoning.

---

1. (-11) - (-56) = ?

Rule: Subtracting a negative number is the same as adding the positive number.

So:
$$
(-11) - (-56) = -11 + 56 = 45
$$

✔ Answer: a. +45

---

2. 90 - (+50) = ?

Subtracting a positive number:

$$
90 - 50 = 40
$$

✔ Answer: a. +40

---

3. 67 + 67 = ?

Simple addition:

$$
67 + 67 = 134
$$

✔ Answer: b. +134

---

4. (-30) × (-70) = ?

Rule: Negative × Negative = Positive

$$
(-30) × (-70) = 2100
$$

Wait! Let's compute:
$$
30 × 70 = 2100 → So, (-30) × (-70) = +2100
$$

But looking at options:
a. 210
b. -210
c. -100
d. +100

None of them is 2100. That suggests a typo in the problem or options.

But let's double-check:
Is it possible the question meant (-30) × (-7)?

Then:
$$
(-30) × (-7) = 210 → Option a. 210
$$

Alternatively, if it's really (-30) × (-70), then answer should be +2100, which is not listed.

But since 210 is an option, and likely the intended problem was (-30) × (-7), or perhaps a typo in the numbers.

Assuming it's (-30) × (-70), correct answer is +2100, but that’s not among choices.

Wait — maybe it's (-30) × (-7)? Then:

$$
(-30) × (-7) = +210
$$

✔ So likely the intended question is (-30) × (-7), so answer is a. 210

But as written: (-30) × (-70) = +2100, not in options.

So unless there's a typo, we must assume the intended calculation is:

✔ Answer: a. 210 (assuming typo in problem: maybe -7 instead of -70)

But strictly speaking, (-30) × (-70) = 2100, not listed.

So this may be an error in the worksheet.

We’ll go with a. 210 assuming a typo.

---

5. (-15) ÷ 5 = ?

Negative divided by positive = negative

$$
-15 ÷ 5 = -3
$$

✔ Answer: b. -3

---

6. 1000 ÷ 10 = ?

$$
1000 ÷ 10 = 100
$$

✔ Answer: a. 100

---

7. 49 ÷ _____ = 7

We need to find what number divides 49 to give 7.

$$
49 ÷ x = 7 → x = 49 ÷ 7 = 7
$$

So blank is 7

✔ Answer: a. 7

---

8. What should be added to -1 to get 10?

Let the number be $ x $

$$
-1 + x = 10 → x = 10 + 1 = 11
$$

✔ Answer: b. 11

---

9. An integer divided by 7 gives a result -3. What is that integer?

Let the integer be $ x $

$$
x ÷ 7 = -3 → x = -3 × 7 = -21
$$

✔ Answer: b. -21

---

10. P = -5 and Q = -15. Find (P + Q) ÷ (P - Q)

First compute:

- $ P + Q = -5 + (-15) = -20 $
- $ P - Q = -5 - (-15) = -5 + 15 = 10 $

Now divide:

$$
(P + Q) ÷ (P - Q) = (-20) ÷ 10 = -2
$$

✔ Answer: b. -2

---

✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | a. +45 |
| 2 | a. +40 |
| 3 | b. +134 |
| 4 | a. 210 *(assuming typo: likely (-30)×(-7)) |
| 5 | b. -3 |
| 6 | a. 100 |
| 7 | a. 7 |
| 8 | b. 11 |
| 9 | b. -21 |
| 10 | b. -2 |

> ⚠️ Note: Question 4 has a potential typo. If it's truly (-30) × (-70), the correct answer is +2100, which is not listed. But given the options, a. 210 is likely intended for (-30) × (-7). Please verify the original problem.

Let me know if you'd like the worksheet corrected or explained further!