Evaluate using properties of whole numbers:
`(3750-:10)-:(37500-:100)`

Answer

To evaluate the expression `(3750 ÷ 10) ÷ (37500 ÷ 100)`, we will follow the order of operations and simplify step by step.

### Step 1: Simplify the first part of the expression
We start with the first part of the expression, which is `3750 ÷ 10`.

\[ 3750 ÷ 10 = 375 \]

### Step 2: Simplify the second part of the expression
Next, we simplify the second part, which is `37500 ÷ 100`.

\[ 37500 ÷ 100 = 375 \]

### Step 3: Combine the results
Now, we can substitute the simplified results back into the expression:

\[ (3750 ÷ 10) ÷ (37500 ÷ 100) = 375 ÷ 375 \]

### Step 4: Final calculation
Now we perform the final division:

\[ 375 ÷ 375 = 1 \]

### Final Answer
Thus, the final answer is:

\[ \boxed{1} \]