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Chapter 6: Integers > Easy Level Worksheet

Easy Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Write the additive inverse of −7.

Correct! The additive inverse of −7 is 7 because −7 + 7 = 0.

(2) Write the predecessor of 0.

Perfect! The predecessor (number before) 0 is −1.

(3) Write the successor of −5.

Excellent! The successor (number after) −5 is −4.

(4) Write the integer which is 5 more than −3.

Great! −3 + 5 = 2.

(5) Write all integers between −2 and 3. , , , .

Short Answer Questions (2 Marks Each)

Note: Answer each question with complete working and clear explanations.

(1) Represent −4 and 2 on a number line.

(2) Find the sum: −3 + (−5).

Perfect! Adding two negative numbers gives a negative result.

(3) Find the difference: 7 − (−2).

Excellent! Subtracting a negative is the same as adding a positive.

(4) Write the opposite of each: (a) Gain of 6, (b) Loss of 10.

(a) Opposite of gain of 6 = of 6 or

(b) Opposite of loss of 10 = of 10 or

(5) Add: −8 + 5.

Correct! Start at −8, move 5 units right to get −3.

Long Answer Questions (4 Marks Each)

Note: Answer each question with complete working and clear explanations.

(1) On a number line, show the addition −5 + 3 and write the result.

(2) Using a number line, show the subtraction 4 − 7 and write the result.

(3) Add: −7 + (−4) + 6.

Perfect! The final answer is −5.

(4) Subtract: −2 − (−8).

Excellent! Subtracting a negative becomes addition.

(5) A submarine is at 50 m below sea level. It dives 20 m deeper and then rises 15 m. Represent its position as an integer. m

Final position: −55 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 9 is:

(a) 9 (b) −9 (c) 0 (d) 1

9
−9
0
1

Correct! The additive inverse of 9 is −9 because 9 + (−9) = 0.

(2) Which of these is not an integer?

(a) −3 (b) 0 (c) 2.5 (d) 7

−3
0
2.5
7

Correct! 2.5 is a decimal, not an integer. Integers are whole numbers and their negatives.

(3) The opposite of loss of 8 is:

(a) 8 (b) −8 (c) 0 (d) −1

8
−8
0
−1

Correct! The opposite of loss of 8 is gain of 8 (represented as +8).

(4) −4 + (−3) =

(a) −7 (b) 7 (c) 1 (d) −1

−7
7
1
−1

Correct! Adding two negative numbers: −4 + (−3) = −7.

(5) 6 − (−2) =

(a) 4 (b) 8 (c) −8 (d) 12

4
8
−8
12

Correct! 6 − (−2) = 6 + 2 = 8.

(6) On a number line, moving to the right means:

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

Subtracting
Adding
Multiplying
Dividing

Correct! Moving right on a number line represents addition.

(7) −5 + 7 =

(a) 2 (b) −2 (c) 12 (d) 0

2
−2
12
0

Correct! −5 + 7 = 2.

(8) The opposite of 0 is:

(a) 1 (b) −1 (c) 0 (d) 10

1
−1
0
10

Correct! The opposite of 0 is 0 itself.

(9) The sum of an integer and its additive inverse is always:

(a) 1 (b) 0 (c) −1 (d) 2

1
0
−1
2

Correct! Any number plus its additive inverse equals 0.

(10) −2 − 5 =

(a) −3 (b) −7 (c) 3 (d) 7

−3
−7
3
7

Correct! −2 − 5 = −2 + (−5) = −7.

−3 + (−2) = −5
7 − (−3) = 10
−8 + (−1) = −9
−4 − (−6) = 2
5 + (−5) = 0
−7 + 7 = 0
2 − (−4) = 6
−6 + (−3) = −9
Adding Negatives
Subtracting Negatives
Additive Inverse

Integer Concepts True or False

Determine whether these statements are True or False:

All integers are positive numbers
The additive inverse of −5 is 5
Subtracting a negative is the same as adding a positive
On a number line, negative numbers are to the left of 0
0 is neither positive nor negative
The sum of an integer and its additive inverse is 0

Integers Quiz