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Comparing Numbers

We are familiar with the concept of comparing two numbers. For this, we follow these rules:
Rule 1: The number with more digits is greater than the number with less digits.

For example, 71389 (5 digits) > 5264 (4 digits)
Rule 2: If we have the same number of digits in both the given numbers, then follow the given
steps:
Step 1: First, compare the digits at the leftmost place in both numbers. The number with a greater
digit at the leftmost place will be greater.
For example, 621 > 579 because 6 > 5.

Step 2: Compare the second digits from the Quick Check
left, if their extreme left digits are equal. The area of Meghalaya is 22,429 sq. km and that of
For example, 5732 > 5579 because 7 > 5. Manipur is 22,327 sq. km. Which state has a greater area?
Step 3: Compare the third digits from the
left, if their first and second digits from the left are equal. For example, 4321 > 4310 because 2 > 1.
Step 4: We can continue with the above mentioned steps until we get the unequal digits at the
corresponding places.

In this class, we use the concept of comparing numbers in a different way.
Subcells and Supercells

Look at the numbers written in the table below:

34 23 56 10 47 78 51 54 87 107

200 566 676 361 824 144 196 1024 2312 111

Why are some numbers in the table coloured?
A cell is coloured if its number is smaller than its adjacent cells. For example, 23 is coloured
because it is smaller than 34 and 56. Similarly, 361 is coloured because it is smaller than 676 and
824. Moreover, 111 is coloured as it is smaller than 2312 and there is only one adjacent cell. Here,
the coloured numbers are called subcells.
In a similar way, you can colour a cell if the number in it is larger than its adjacent cells.

43 79 71 63 10 29 28 34 77 11

For example, 79 is coloured because the numbers in the adjacent cells are 43 and 71, which are
smaller than 79. This is called a supercell.

Think and Answer

1. Fill in the table below with only 4-digit numbers such that the supercells are exactly the coloured
cells.

4352 3683 6071 1251

2. Will the cell having the largest number in a table always be a supercell? Can the cell having the smallest
number in a table be a supercell? Why or why not?

77 Number Play