How to Compare Numbers to Find the Greater Number with Examples
Namya brought ladies handbags of various sizes starting from size 9 to 21. Suppose bag 1 is of size 12, bag 2 of size 11, bag 3 of size 18, and bag 4 of size 20. Now, to arrange these bags starting from a bigger size to a smaller one, we have the following order:
Size 20 is greater than 18, 18 is greater than 12, 12 is greater than 11. So, here greater than shows the relationship of four numbers with each other, like we did above. We see that greater than is a mathematical operator.
Here, on this page, we will discuss one of the renowned operators “greater than” with certain examples.
Examples of Greater Than: Comparing Numbers
Example 1:
Let us assume that class A has students with the following roll numbers:
23
12
14
18
25
26
Now, let us arrange the numbers by using the concept of ‘greater than’ operator:
Here, the order is:
26 is greater than 25, 25 is greater than 23, 23 is greater than 18, 18 is greater than 14, and 14 is greater than 12.
Now, to minimise our efforts of writing, we replace greater than with ‘>’ sign, which also means the same, so let us write it as:
26 > 25 > 23 > 18 > 14 > 12
Example 2: Niyama bought chocolates at various prices, such as c1 of Rs. 45, c2 of Rs. 34, c3 of Rs. 30, and c4 of Rs. 90.
Now, she arranges these chocolates as the size starting from high price to a lower price, which is:
c4 > c1 > c2 > c3
Here, on changing the order of price, the sign also changes in the following way:
c3 < c2 < c1 < c4
So, this is how we can arrange any item/object in terms of greater than ‘>’ by taking various real-life examples.
FAQs on Greater Number in Maths and How to Identify It
1. What is a greater number in Maths?
A greater number is a number that has a higher value compared to another number. In Maths, we compare numbers using symbols like > (greater than) and < (less than). For example:
- Between 8 and 5, 8 > 5, so 8 is the greater number.
- Between 12 and 21, 21 is greater.
The number placed to the left of the greater-than symbol ( > ) is always the greater number.
2. How do you find the greater number between two numbers?
To find the greater number between two numbers, compare their place values from left to right. Follow these steps:
- Step 1: Compare the digits in the highest place value (thousands, hundreds, tens, ones).
- Step 2: The number with the larger digit in that place is greater.
- Step 3: If digits are equal, move to the next place value.
Example: Compare 456 and 465. Hundreds are equal (4), but in the tens place 6 > 5, so 465 is the greater number.
3. What symbol is used to show a greater number?
The symbol used to show a greater number is >, called the greater than symbol. It means the number on the left is larger than the number on the right.
- Example: 9 > 4
- Example: 15 > 12
This symbol is commonly used in number comparison, inequalities, and algebra.
4. How do you compare greater numbers with more than two digits?
To compare greater numbers with more than two digits, check digits according to their place value starting from the left. Use these steps:
- Compare the highest place value digits first.
- If they are equal, compare the next place value.
- Continue until you find different digits.
Example: Compare 3,482 and 3,479. Thousands (3) and hundreds (4) are equal. In tens place, 8 > 7, so 3,482 is greater.
5. How do you find the greatest number among three numbers?
To find the greatest number among three numbers, compare them one by one using place value. Follow these steps:
- Step 1: Compare the first two numbers and find the greater one.
- Step 2: Compare that result with the third number.
- Step 3: The largest value is the greatest number.
Example: Among 24, 42, and 39:
- 42 > 24
- 42 > 39
So, 42 is the greatest number.
6. What is the difference between greater than and less than?
The difference is that greater than (>) shows a larger number, while less than (<) shows a smaller number. These symbols help compare numerical values.
- Example: 10 > 6 means 10 is greater than 6.
- Example: 3 < 8 means 3 is less than 8.
They are commonly used in inequalities and number comparison problems.
7. How do you compare greater numbers with decimals?
To compare decimals, align them by place value and compare digits from left to right. Follow these steps:
- Step 1: Compare whole number parts first.
- Step 2: If equal, compare tenths, then hundredths, and so on.
Example: Compare 5.67 and 5.76.
- Whole numbers are equal (5).
- In tenths place, 6 < 7.
So, 5.76 is the greater number.
8. How do you compare greater numbers with negative numbers?
When comparing negative numbers, the number closer to zero is the greater number. On a number line, numbers to the right are greater.
- Example: -3 > -7
- Example: -1 > -5
Although 7 is larger than 3, -7 is less than -3 because it is farther from zero in the negative direction.
9. Can you give an example of finding the greatest 4-digit number?
The greatest 4-digit number is 9,999. A 4-digit number ranges from 1,000 to 9,999.
- The largest digit is 9.
- Placing 9 in all four place values (thousands, hundreds, tens, ones) gives 9,999.
Therefore, 9,999 is the greatest possible 4-digit number.
10. Why is understanding greater numbers important in Maths?
Understanding greater numbers is important because it helps in comparing values, solving inequalities, and making calculations correctly. It is used in:
- Ordering numbers from smallest to greatest
- Solving word problems
- Working with decimals, fractions, and integers
- Algebra and real-life comparisons like prices or distances
Mastering number comparison builds a strong foundation for advanced Maths concepts.
