Skill: Identify numbers between two benchmarks

“Between” means the number must be greater than the lower benchmark and less than the higher benchmark. The endpoints are not included.

Example: Which whole numbers are between $(3{,}250)$ and $(3{,}256)$?

1. Identify the lower and higher benchmarks:

$$3{,}250<3{,}256$$

2. Start with the whole number after $(3{,}250)$:

$$3{,}251$$

3. Count by ones until the number just before $(3{,}256)$:

$$3{,}251,\ 3{,}252,\ 3{,}253,\ 3{,}254,\ 3{,}255$$

4. Check the answer using comparison symbols. Each number must satisfy:

$$3{,}250<n<3{,}256$$

So, the whole numbers between $(3{,}250)$ and $(3{,}256)$ are

$$\boxed{3{,}251,\ 3{,}252,\ 3{,}253,\ 3{,}254,\ 3{,}255}$$

On a number line, these numbers are to the right of $(3{,}250)$ and to the left of $(3{,}256)$. The benchmarks themselves are not included.