Comparing two-digit numbers first examines the tens digits. If they differ, the number with more tens is greater. If tens are equal, compare the ones digits. Understanding place value is key to accurate comparison.
You already know that two-digit numbers are built from tens and ones — 47 means four tens and seven ones, not forty-seven isolated objects. That place-value understanding is exactly what makes comparing two-digit numbers logical rather than a guessing game: you compare the most powerful digit first.
Here is the key insight: tens are worth more than ones. One ten (10) is already bigger than the largest single digit (9). So when you compare 47 and 53, you don't need to look at the ones digits at all — the tens tell the whole story. 53 has 5 tens; 47 has only 4 tens. Five tens beats four tens, so 53 > 47. Even if 47 had 9 ones instead of 7, it would still be less than 53, because no number of ones can overcome the gap of one full ten.
The interesting case is when the tens digits are equal. Compare 47 and 43: both have 4 tens, so they're tied. Now the ones digits break the tie. 47 has 7 ones; 43 has only 3 ones. Seven ones beats three ones, so 47 > 43. The rule is always the same: start with the largest place value, work toward the smallest, and stop as soon as the digits differ.
The symbols >, <, and = record these comparisons. A helpful image: the open end of > or < always faces the larger number, like a mouth eating the bigger amount. So 47 < 53 and 53 > 47 express the exact same relationship from two different viewpoints. When both digits are identical — like 50 and 50 — the equals sign = applies: same tens, same ones, same value.