Integers in Other Places
Credits and debits
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 ₹
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'.
Your new bank balance is ₹
The next day you pay your electric bill of ₹ 30 using your bank account. This is shown in your bank passbook as a 'debit'.
Your bank balance is now ₹
The next day you make a major purchase for your business of ₹ 150. Again this is shown as a debit.
What is your bank balance now? ₹
Is this possible?
Yes, some banks do allow your account balance to become negative, temporarily! Some banks also charge you an additional amount if your balance becomes negative, in the form of 'interest' or a 'fee'.
Your strategic large purchase the previous day allows you to make, ₹ 200 at your business the next day.
What is your balance now? ₹
You can think of 'credits' as positive numbers and 'debits' as negative numbers. The total of all your credits (positive numbers) and debits (negative numbers) is your total bank account balance. This can be positive or negative!
In general, it is better to try to keep a positive balance in your bank account!
Figure it Out
1. Suppose you start with ₹0 in your bank account, and then you have credits of ₹30, ₹40, and ₹50, and debits of ₹40, ₹50, and ₹60. What is your bank account balance now? ₹
2. Suppose you start with ₹0 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 ₹256. What is your bank account balance now? ₹
3. Why is it generally better to try and maintain a positive balance in your bank account? What are circumstances under which it may be worthwhile to temporarily have a negative balance?
As you can see, positive and negative numbers along with zero are extremely useful in the world of banking and accounting.
Geographical cross sections
We measure the height of geographical features like mountains, plateaus, and deserts from 'sea level'. The height at sea level is
1. Looking at the geographical cross section, fill in the respective heights:
a.
b.
c.
d.
e.
f.
g.
2. Which is the highest point in this geographical cross section? Which is the lowest point?
Answer: The highest point in the geographical cross section is
3. Can you write the points A, B, …, G in a sequence of decreasing order of heights? Can you write the points in a sequence of increasing order of heights?
Answer:
Decreasing Order
Increasing Order
4. What is the highest point above sea level on Earth? What is its height?
Answer: The highest point above sea level on Earth is
5. 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).
Answer: Lowest point with respect to sea level on land is
Temperature
During summer time you would have heard in the news that there is a 'heat wave'. What do you think will be the temperature during the summer when you feel very hot? In the winter we have cooler or colder temperatures.
What has been the maximum temperature during the summer and the minimum temperature during the winter last year in your area? Find out.
When we measure temperature, we use Celsius as the unit of measure (°C). The thermometers below are showing 40°C and 15°C temperatures.
1. 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 below 0°C. What is common among these places? Why does it become colder there and not in other places?
Answer: Leh, Dras, Kargil, Gulmarg, Pahalgam, Srinagar, Shimla ,Manali
common among these are:
They are all located in or near the Himalayas or in high-altitude mountain regions.
The Most of them are above 2000 meters (6,500 feet) in elevation.
They are all located in or near the Himalayas or in high-altitude mountain regions. Most of them are above 2000 meters (6,500 feet) in elevation.
2. Leh in Ladakh gets very cold during the winter. The following is a table of temperature readings taken during different times of the day and night in Leh on a day in November. Match the temperature with the appropriate time of the day and night.