Comparing numbers is an essential part of constructing the meaning of the number of students. The sense of number is a student's ability to understand a number, its meaning and its relationship with other numbers. It is this important final factor that is generated by comparing numbers.
It is crucial for learners to have an understanding of the numbers and their meaning they will be dealing with before working on comparing numbers. This understanding can be fundamental, including the need for manipulatives and other hands-on devices to be used.
Think of it like this, if you asked a student which is more, 3 or 4, the student needs to be able to know that your word "three" means the symbol 3. The same with the number 4. But once a student has this basic understanding, they are able to start learning about comparing numbers.
How to Compare Numbers?
There are two ways of comparing numbers:
Use of number line
We recognize that a number with more digits is often higher than a number with fewer digits.
When the two numbers have the same number of digits, once we come across unequal digits, we begin comparing the digits from the leftmost location.
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Use of Number Line
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Comparison symbols are used to compare greater and smaller numbers.
Different Comparison Symbols:
Less than (<) returns true if the left value is lower than the right value, otherwise, it returns false.
If the value on the left is larger than the value on the right, greater than (>) returns true, otherwise it returns false.
If the value on the left is less than or equal to the value on the right, less than or equal to (<=) returns true, otherwise it returns false.
If the value on the left is greater than or equal to the value on the right, greater than or equal to (>=) returns true, otherwise it returns false.
Equal to (===): returns true if the left value is equal to the right value, otherwise it returns wrong.
Not equal to (!==) returns true if the left-hand value is not equal to the right-hand value, otherwise it returns false.
1. Compare 132 and 45 and figure out which number is the larger number.
Start by counting the number of digits in both the numbers. In this case, 132 has three digits and 45 has two digits, and according to the rule mentioned above whichever number has more number of digits is the larger number. Therefore, 132 is the larger number.
2. Put the correct sign of comparison:
3 □ 5
988 □ 987
765 □ 765
3 < 5
988 > 987
765 = 765
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