CBSE Class 7 Mathematics Integers Assignment Set 08

VII - Mathematics ASSIGNMENT No - 01 - Integers

Question Q1. Represent the following statement in the form of integer.

(i) 5 km above the sea level
(ii) Rs. 1000 deposited in the bank
(iii) Rs. 75 is invested in the market
(iv) 5 units to the left of zero (v) 15°C above freezing point

Answer:

(i) +5 km (ii) +Rs. 1000 (iii) −Rs. 75 (iv) −5 (v) +15°C

In simple words: Positive signs indicate values above or additions, while negative signs indicate values below or losses/withdrawals.

Exam Tip: Always look for keywords like above, deposit, or gain for positive integers, and below, withdraw, left, or loss for negative integers.

Question Q2. Write the opposite of the following (as integer)
(i) a gain of Rs 10$
(ii) Withdrawal of Rs 100 from the bank
(iii) An increase of 25$
(iv) 5 km below the sea level
(v) Loss of Rs 10 in the market
Answer:
(i) -10$
(ii) + Rs 100$
(iii) -25$
(iv) +5 km
(v) +Rs 10$
In simple words: The opposite of a positive situation is represented by a negative integer, and vice versa.

Exam Tip: Flip the sign of the integer representing the given statement to find its exact opposite.

Question Q3. Using the number line or otherwise, write the integer which is:

(i) 3 more than 6

(ii) 4 more than −2

(iii) 5 less than 4

(iv) 2 less than −3

Answer:

(i) \(6 + 3 = 9\)

(ii) \(-2 + 4 = 2\)

(iii) \(4 - 5 = -1\)

(iv) \(-3 - 2 = -5\)

In simple words: "More than" means you move to the right on the number line (addition), and "less than" means you move to the left (subtraction).

Exam Tip: Translating "more than" to \(+\) and "less than" to \(-\) prevents sign errors.

Question Q4. Which is larger?

(i) \(40\) or \(-100\)

(ii) \(-15\) or \(-16\)

Answer:

(i) \(40\) is larger because every positive integer is greater than any negative integer.

(ii) \(-15\) is larger because, among negative integers, the number with the smaller absolute value is greater.

In simple words: On a number line, numbers further to the right are always larger.

Exam Tip: Remember that a smaller negative number is always closer to zero, hence larger than a more negative number.

Question Q5. Write all integers between
(i) \(0\) and \(6\)
(ii) \(-5\) and \(+2\)
Answer:
(i) \(1, 2, 3, 4, 5\)

(ii) \(-4, -3, -2, -1, 0, 1\)

In simple words: List all the whole numbers strictly sitting between the two given endpoints without including the endpoints themselves.

Exam Tip: Pay attention to strict inequalities implied by "between"; do not include the starting and ending numbers.

Question Q6. Write the following integers in increasing order.

(i) \(10, -5, -3, 0, 5\)

(ii) \(-17, 15, -3, 4, 7\)

Answer:

(i) \(-5, -3, 0, 5, 10\)

(ii) \(-17, -3, 4, 7, 15\)

In simple words: Arrange the numbers from the smallest negative value up to the largest positive value.

Exam Tip: Increasing order means ascending order (smallest to largest).

Question Q7. Fill the gap by putting \(>, <, =\)

(i) \(0 \dots 7\)

(ii) \(-5 \dots -10\)

(iii) \(15 \dots 0\)

(iv) \(-3 \dots 4\)
Answer:

(i) \(0 < 7\)

(ii) \(-5 > -10\)

(iii) \(15 > 0\)

(iv) \(-3 < 4\)

In simple words: Compare the values and point the open side of the inequality symbol (>) or (<) toward the larger number.

Exam Tip: Think of the inequality sign as an alligator mouth that always opens wide toward the bigger number.

Question Q8. Find the absolute value of the following
(i) -17$
(ii) 17$
(iii) -15$
Answer:
(i) |-17| = 17$
(ii) |17| = 17$
(iii) |-15| = 15$
In simple words: Absolute value means the distance of a number from zero, which is always positive.

Exam Tip: The absolute value bars dots  strip away any negative sign from the number.

Question Q9. Write the following numbers in descending order
(i) -19, 0, 17, 3, -15, 20$
(ii) -51, -41, 41, 51, -40$
Answer:
(i) 20, 17, 3, 0, -15, -19$
(ii) 51, 41, -40, -41, -51$
In simple words: Arrange the numbers from the largest value down to the smallest value.

Exam Tip: Descending order means starting with the highest positive number and ending with the lowest negative number.

Question Q10. Evaluate the following
(i) -| -7 - (-4) |\)
(ii) 7 + |-5|\)
(iii) -| 7 - 3 |\)
Answer:
(i) -| -7 - (-4) | = -| -7 + 4 | = -| -3 | = -(3) = -3$
(ii) 7 + |-5| = 7 + 5 = 12$
(iii) -| 7 - 3 | = -| 4 | = -4$
In simple words: Simplify the expression inside the absolute value bars first, find its absolute value, and then apply any outer signs or operations.

Exam Tip: Treat absolute value bars like grouping symbols (brackets) and evaluate inside-out.