Skill: Justify a comparison

To justify a comparison, compare the place values from left to right: hundreds, then tens, then ones. Stop when you find the first place where the digits are different.

Example: Compare $472$ and $458$.

1. Compare the hundreds.
   Both numbers have $4$ hundreds:

$$472 \text{ and } 458$$

So, look at the next place.

2. Compare the tens.
   $472$ has $7$ tens, and $458$ has $5$ tens. Since $7>5$, $472$ is greater than $458$.

3. Use the correct symbol.

$$\boxed{472>458}$$

The comparison is justified because both numbers have the same number of hundreds, but $472$ has more tens. The ones do not need to be compared because the tens already show which number is greater.