Moderate Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Write the additive inverse of −12.

Correct! The additive inverse of −12 is 12 because −12 + 12 = 0.

(2) Write the successor of −9.

Perfect! The successor (next number) of −9 is −8.

(3) Write the integer which is 7 less than 3.

Excellent! 3 − 7 = −4.

(4) Write all integers between −4 and 2. , , , ,

(5) Write the opposite of a decrease of 15.

of 15 or

Short Answer Questions (2 Marks Each)

(1) Represent −6 and 4 on a number line.

(2) Find the sum: −9 + 15.

Perfect! Start at −9, move 15 units right to get 6.

(3) Subtract: 5 − (−7).

Excellent! Subtracting a negative becomes addition.

(4) Add: −4 + (−8).

Correct! Adding two negative numbers gives a negative result.

(5) Write the opposite of each: (a) Loss of 12, (b) Gain of 20.

(a) Opposite of loss of 12 = of 12 or

(b) Opposite of gain of 20 = of 20 or

Long Answer Questions (4 Marks Each)

(1) On a number line, show the addition −7 + (−3) and write the result.

(2) On a number line, show the subtraction −5 − 4 and write the result.

(3) Add: −3 + 7 + (−8).

Perfect! The final answer is −4.

(4) Subtract: −10 − (−15).

Excellent! Subtracting a negative becomes addition.

(5) A hiker is at an altitude of 250 m above sea level. He descends 380 m. Represent his new position as an integer. m

Final position: −130 m (130 m below sea level)

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) The additive inverse of −18 is:

(a) 18 (b) −18 (c) 0 (d) −1

Correct! The additive inverse of −18 is 18 because −18 + 18 = 0.

(2) Which of these is an integer?

(a) −2 (b) 0 (c) 7 (d) All of these

Correct! All of these (−2, 0, 7) are integers.

(3) −5 + (−9) =

(a) −14 (b) 14 (c) 4 (d) −4

Correct! Adding two negative numbers: −5 + (−9) = −14.

(4) 9 − (−6) =

(a) 3 (b) 15 (c) −15 (d) −3

Correct! 9 − (−6) = 9 + 6 = 15.

(5) On a number line, moving to the left means:

(a) Adding (b) Subtracting (c) Multiplying (d) Dividing

Correct! Moving left on a number line represents subtraction or adding negative numbers.

(6) −8 + 5 =

(a) −13 (b) 3 (c) −3 (d) 13

Correct! −8 + 5 = −3.

(7) The opposite of gain of 25 is:

(a) −25 (b) 25 (c) 0 (d) −1

Correct! The opposite of gain of 25 is loss of 25 (represented as −25).

(8) The sum of −7 and 4 is:

(a) −3 (b) 3 (c) −11 (d) 11

Correct! −7 + 4 = −3.

(9) The opposite of −15 is:

(a) 0 (b) 15 (c) −15 (d) 1

Correct! The opposite of −15 is 15.

(10) −4 − (−9) =

(a) −13 (b) 13 (c) 5 (d) −5

Correct! −4 − (−9) = −4 + 9 = 5.

Moderate Integer Concepts True or False

Determine whether these statements are True or False:

Integers - Moderate Quiz