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ComPariNg Numbers

Different Number of Digits

The number with more digits is always greater.
example 1: Compare 6,412 and 986. Remember

Solution: th H t O '>' is the sign for "greater than" and
'<' is the sign for "lesser than."
6 4 1 2 4 digits The crocodile’s mouth always opens towards

9 8 6 3 digits the bigger number.
6,451 245
So, 6,412 > 986
same Number of Digits

Let us compare the two 4-digit numbers. Compare the thousands digits first. The number
with a greater digit at the thousands place is greater.

example 2: Compare: (a) 7,120 and 6,585 (b) 6,182 and 8,115
Solution: th H t O th H t O

7 1 2 0 6 1 8 2
6 5 8 5 8 1 1 5

Since, 7 > 6 Since, 6 < 8

So, 7,120 > 6,585 So, 6,182 < 8,115

If the thousands digits are the same, then compare the hundreds digits.
The number with a greater digit at the hundreds place is greater.
example 3: Compare: (a) 6,855 and 6,321 (b) 7,182 and 7,298
Solution: th H t O th H t O

6 8 5 5 7 1 8 2
6 3 2 1 7 2 9 8
Same 8 > 3 Same 1 < 2
So, 6,855 > 6,321 So, 7,182 < 7,298

If the thousands digits and hundreds digits are the same, then compare tens digits.
The number with a greater digit at the tens place is greater.

example 4: Compare: (a) 4,729 and 4,716 (b) 9,126 and 9,198
Solution: th H t O th H t O

4 7 2 9 9 1 2 6
4 7 1 6 9 1 9 8

Same 2 > 1 Same 2 < 9
So, 4,729 > 4,716 So, 9,126 < 9,198

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