41 solutions available
You start from Floor + 2 and press – 3 in the lift. Where will you reach? Write an expression for this movement.
Evaluate these expressions (you may think of them as Starting Floor + Movement by referring to the Building of Fun). (a) (-1) + (+ 4) =...
Starting from different floors, find the movements required to reach Floor -5. For example, if I start at Floor +2, I must press -7 to reach Floor...
Compare the following numbers using the building of fun and fill in the boxes with . (a) -2 __________ + 5 (b) -5 __________ + 4 (c) -5 __________ –...
Imagine the building of fun with more floors. Compare the numbers and fill in the boxes with . (a) -10 __________ -12 (b) +17 __________ -10 (c) 0...
If Floor A = -12, Floor D = -1 and Floor E = +1 in the building shown on the right as a line, find the numbers of Floors B, C, F, G and H.
Mark the following floors of the building shown on the right. (a) -7 (b) -4 (c) +3 (d) -10
Complete these expressions. You may think of them as finding the movement needed to reach the Target Floor from the Starting Floor. (a) (+1) – (+4) =...
Is 2 > -3? Why? Is -2 < 3? Why?
(i) -5 + 0
Cancel the zero pairs in the following two sets of tokens. On what floor is the lift attendant in each case? What is the corresponding addition...
Evaluate the following differences using tokens. Check that you get the same result as with other methods you now know: (a) (+10) – (+7)
Try to subtract – 3 – (+ 5). How many zero pairs will you have to put in? What is the result?
Evaluate the following using tokens. (a) (-3) – (+10) (b) (+8) – (-7) (c) (-5) – (+9) (d) (-9) – (+10) (e) (+6) – (-4) (f) (-2) – (+7)
Suppose you start with 0 rupees in your bank account, and then you have credits of ₹ 30, ₹ 40, and ₹ 50, and debits of ₹ 40, ₹ 50, and ₹ 60. What is...
Suppose you start with 0 rupees in your bank account, and then you have debits of ₹1, 2, 4, 8, 16, 32, 64, and 128, and then a single credit of ₹...
Why is it generally better to try and maintain a positive balance in your bank account? What are circumstances under which it many be worthwhile to...
Looking at the geographical cross-section fill in the respective heights:
Which is the highest point in this geographical cross-section? Which is the lowest point?
Can you write the points A, B,……, and G in a sequence of decreasing order of heights? Can you write the points in a sequence of increasing order of...
What is the highest point above sea level on Earth? What is its height?
What is the lowest point with respect to sea level on land or on the ocean floor? What is its height? (This height should be negative).
Do you know that there are some places in India where temperatures can go below 0°C? Find out the places in India where temperatures sometimes go...
Leh in Ladakh gets very cold during winter. The following is a table of temperature readings taken during different times of the day/night in Leh on...
Do the calculations for the second grid above and find the border sum.
For the last grid above, find more than one way of filling the numbers to get the border sum -4.
Which other grids can be filled in multiple ways? What could be the reason?
Make a border integer square puzzle and challenge your classmates.
Try afresh, choose different numbers this time. What sum did you get? Was it different from the first time? Try a few more times!
Play the same game with the grids below. What answer did you get? The Other Side of Zero Class 6 NCERT Solutions Ganita Prakash Maths Chapter 10 56
What could be so special about these grids? Is the magic in the numbers the way they are arranged or both? Can you make more such grids?
Write all the integers between the given pairs, in increasing order. (a) 0 and -7 (b) -4 and 4 (c) -8 and -15 (d) -30 and -23
Give three numbers such that their sum is – 8.
There are two dice whose faces have these numbers: -1,2,- 3, 4, – 5, 6. The smallest possible sum upon rolling these dice is – 10 = (- 5) + (- 5) and...
Find the years below. (a) From the present year, which year was it 150 years ago? (b) From the present year, which year was it 2200 years ago? (Hint...
Complete the following sequences: (a) (-40), (-34), (-28), (-22) ______, ______, ______ (b) 3, 4, 2, 5, 1, 6, 0, 7, ______, ______, ______ (c)...
Here are six integer cards: (+1), (+7), (+18), (-5), (-2), (-9). You can pick any of these and make an expression using addition(s) and...
The sum of two positive integers is always positive but a (positive integer) – (positive integer) can be positive or negative. What about (a)...
This string has a total of 100 tokens arranged in a particular pattern. What is the value of the string?
Can you explain each of Brahmagupta’s rules in terms of Bela’s buildings of fun, or in terms of a number line?
Give your examples of each rule.