The Other Side of Zero | IT

Question 2

Observe that some of the floors in the 'Building of Fun' are below the ground. What are the shops that you find on these floors? What is there on the ground floor?

Question diagram 1
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Solution
Understand the Question
  • In the 'Building of Fun', the ground floor acts as the reference level (00), floors above ground represent positive integers, and floors below ground represent negative integers.
  • We examine the building diagram to identify what is located on the ground floor and list the shops located on the floors below ground level in order.

Step 1 · Identify the Ground Floor

The ground floor is the reference entrance level at ground height.Diagram 1

From the diagram, the ground floor is the Welcome hall.

Step 2 · Identify Shops Below the Ground

Looking below the 'Welcome hall' (ground level), the floors located underground from top to bottom are:

  • TOYS
  • VIDEO GAMES
  • CINEMA
  • GHOST HOUSE
  • DINOSAUR
Answer
  • Shops below the ground: TOYS, VIDEO GAMES, CINEMA, GHOST HOUSE, DINOSAUR
  • On the ground floor: Welcome hall
Common Mistakes
  • Confusing Ground Level with Level 1: Treating the ground floor as floor 11 instead of the reference level 00.
  • Reversing Underground Floor Order: Listing basement levels from the lowest floor upwards instead of reading downwards from the ground floor.

More questions in IT

Q1

Can there be a number less than 00? Can you think of any ways to have less than 00 of something?

Q2

Observe that some of the floors in the 'Building of Fun' are below the ground. What are the shops that you find on these floors? What is there on the ground floor?

Q3

In Bela's Building of Fun, a lift is used to go up and down between the floors. It has two buttons: '+' to go up and '-' to go down. Pressing '+' once goes up one floor (+1), and pressing '-' once goes down one floor (-1).

Q. What do you press to go four floors up? What do you press to go three floors down?

Q4

Number all the floors in the Building of Fun.

Q5

Start from the Food Court and press +2+2 in the lift. Where will you reach?

Q6

If Basant now presses +4+4 and then presses 4-4 in the lift, where will he reach?

Q7

Write the inverses of these numbers: +4+4, 4-4, 3-3, 00, +2+2, 1-1.

Q8

Connect the inverses by drawing lines.

Q9

Comparing numbers using floors

Who is on the lowest floor?

Q10

Should we write 3<4-3 < -4 or 4<3-4 < -3?

Q11

Evaluate 15515 - 5, 10010100 - 10 and 743474 - 34 from this perspective.

Q12

In the other exercises that you did above, did you notice that subtracting a negative number was the same as adding the corresponding positive number?

Q13

Take a look at the 'infinite lift' above. Does it remind you of a number line? In what ways?

Q14

Use unmarked number lines to evaluate these expressions:

Q15

Suppose you open a bank account at your local bank with the ₹100 that you had been saving over the last month. Your bank balance therefore, starts at ₹100. Then you make ₹60 at your job the next day and you deposit it in your account. This is shown in your bank passbook as a 'credit'.

Q. Your new bank balance is _______.

Q16

Suppose you open a bank account with a starting balance of ₹100 and deposit ₹60 (making the balance ₹160). The next day you pay your electric bill of ₹30 using your bank account. This is shown in your bank passbook as a 'debit'.

Q. Your bank balance is now _______.

Q17

Suppose you open a bank account with a starting balance of ₹100, deposit ₹60 (making the balance ₹160), and pay an electric bill of ₹30 (making the balance ₹130). The next day you make a major purchase for your business of ₹150. Again this is shown as a debit.

Q. What is your bank balance now? _______

Is this possible?

Q18

Your bank balance was 20-\text{₹}20. You make 200\text{₹}200 at your business the next day.

Q. What is your balance now?

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