Free Printable 7th Grade Integers Worksheets [PDFs] Brighterly - Free Printable

Let's solve each question from the "Integers Worksheet" step by step and explain the reasoning.

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1) Which integer is greater than –5?

We are looking for an integer that is greater than –5.

- a) –7 → less than –5 (since –7 is further left on the number line)
- b) –1 → greater than –5 (because –1 is to the right of –5)
- c) –9 → less than –5
- d) –11 → less than –5

✔ Answer: b) –1

> Explanation: On the number line, numbers increase as you move to the right. So –1 is greater than –5.

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2) How many integers are there between –8 and 2?

We need to count integers strictly between –8 and 2 (not including –8 and 2 themselves).

List them:
- –7, –6, –5, –4, –3, –2, –1, 0, 1

Count: That’s 9 integers.

✔ Answer: d) 9

> Explanation: From –7 to 1 inclusive = 1 – (–7) = 8, but we add 1 because it's inclusive: 8 + 1 = 9.

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3) What is the opposite value of the integer 6?

The opposite of a number is the number with the same magnitude but opposite sign.

Opposite of 6 = –6

✔ Answer: a) –6

> Explanation: The opposite of a positive number is negative, and vice versa.

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4) Identify the integer that is less than –3.

We want a number less than –3, meaning further to the left on the number line.

- a) 0 → greater than –3
- b) –1 → greater than –3
- c) –4 → less than –3 ✔
- d) 2 → greater than –3

✔ Answer: c) –4

> Explanation: –4 < –3 because –4 is farther from zero in the negative direction.

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5) Which of the following integers is greater than –1 and less than 7?

We need a number such that:
–1 < x < 7

Check options:

- a) –9 → less than –1 ✘
- b) 5 → between –1 and 7 ✔
- c) –5 → less than –1 ✘
- d) 8 → greater than 7 ✘

✔ Answer: b) 5

> Explanation: Only 5 satisfies both conditions.

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6) How many pairs of opposite integers are there between –4 and 5?

First, list all integers between –4 and 5 (not including –4 and 5):

→ –3, –2, –1, 0, 1, 2, 3, 4

Now find pairs of opposite integers (like –3 and 3, –2 and 2, etc.)

Opposite pairs:
- (–3, 3)
- (–2, 2)
- (–1, 1)

Note: 0 is its own opposite, but we don’t count it as a pair.

So we have 3 pairs.

✔ Answer: a) 3

> Explanation: We only count pairs where one is negative and the other is positive and equal in magnitude. (–4 and 4) would be a pair, but –4 is not included (we're between –4 and 5), so –4 is excluded. 4 is included, but –4 is not, so no pair for 4.

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7) The following data shows the changes in temperatures across various cities from morning to noon. Which city recorded the maximum temperature?

Given:
- Atlanta: +20°C
- Chicago: +13°C
- Boston: +12°C
- Houston: +25°C

We compare the values:
- 20, 13, 12, 25 → highest is 25°C

✔ Answer: d) Houston

> Explanation: Temperature change is given as positive values, so higher value means greater temperature increase or higher final temperature (assuming starting point is similar). So Houston has the highest temperature change.

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✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | b) –1 |
| 2 | d) 9 |
| 3 | a) –6 |
| 4 | c) –4 |
| 5 | b) 5 |
| 6 | a) 3 |
| 7 | d) Houston |

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