Worksheet: The Other Side of Zero - 1

Multiple Choice Questions (MCQs)

Q1: What is the result of (-5) + (+3)?
(a) -8
(b) 2
(c) -2
(d) 8

Q2: Which of the following represents the correct inverse operation for subtracting -4?
(a) Adding +4
(b) Subtracting +4
(c) Adding -4
(d) None of the above

Q3: What is the value of the expression (-6) - (-3)?
(a) -9
(b) -3
(c) -1
(d) -2

Q4: If you move 7 steps to the left from +2 on a number line, where will you end up?
(a) -5
(b) 5
(c) 9
(d) -9

Q5: The sum of -7 and -3 is closest to which of the following?
(a) -10
(b) 10
(c) -4
(d) 4

Fill in the Blanks

Q1: The number line extends infinitely in both directions, with positive numbers on the right of 0 and _______ numbers on the left.

Q2: The additive inverse of +7 is _______.

Q3: When you subtract a negative number, it is the same as _______ the corresponding positive number.

Q4: On a number line, moving to the left signifies _______, while moving to the right signifies _______.

Q5: The sum of a number and its inverse is always _______.

True/False

Q1: The number zero is considered neither positive nor negative.

Q2: The number -5 is greater than the number -3.

Q3: Subtracting a positive number is the same as adding its inverse.

Q4: If you add two negative numbers, the result is always positive.

Q5: On the number line, -1 is closer to zero than -2.

Practical Application Questions

Q1: Draw a number line and mark the points -3, 0, and +4. Indicate the position you will reach if you move 5 units to the right from -3.

Q2: Subtract -8 from +3 using a number line. Show the process and the final result.

Word problems

Q1. A lift in a building starts at the 7th floor.

A) The lift moves down 5 floors. What floor does it reach?

B) From that floor, the lift moves up 3 floors. Where is the lift now?

C) Finally, the lift moves down 4 floors. What floor does it stop at?

Q2. In a bank, the balance of an account is recorded.

A) John has a balance of ₹500 in his account. He withdraws ₹200. What is his new balance?

B) Then, he deposits ₹150 into his account. What is his balance now?

C) After that, he withdraws ₹100. What is his final balance?

Q3. A miner is working in a mineshaft where the surface level is represented by 0 meters.

A) The miner starts at -10 meters below the surface and then descends 5 meters further. What is his new depth?

B) After that, the miner ascends 8 meters. What is his new depth now?

C) Finally, the miner descends 3 meters. Where is he now?

You can access the solutions to this worksheet here.