Addition with Base-10 Blocks: Adding 5 Ones to 35

Given the problem, we begin by identifying that the original number of blocks is 35, composed of 3 tens and 5 ones.

Step 1: Identify the current number of tens and ones: - $35$ blocks means $3$ tens and $5$ ones.

Step 2: Add the additional ones: - We add $5$ more ones to the current $5$ ones: $5 + 5 = 10$.

Step 3: Regroup the ones into tens and ones: - Since $10$ is equal to one ten, the ones become $0$, and the tens increase by $1$.

Step 4: Calculate the new total number of blocks: - The original $3$ tens plus the additional $1$ ten from regrouping gives us $4$ tens. - Therefore, we now have $4 \times 10 = 40$ blocks in total.

Thus, the new total number of blocks is $40$.