Find the estimated quotient for each of the following : `633 ÷ 33`

Answer

To find the estimated quotient of \( 633 \div 33 \), we will follow these steps:

### Step 1: Round off 633 to the nearest hundred.
- The number 633 is a three-digit number. We look at the tens digit, which is 3 (less than 5).
- Since the tens digit is less than 5, we keep the hundreds digit (6) the same and change the tens and units digits to 0.
- Therefore, the estimated value of 633 is **600**.

### Step 2: Round off 33 to the nearest ten.
- The number 33 is a two-digit number. We look at the units digit, which is 3 (less than 5).
- Since the units digit is less than 5, we keep the tens digit (3) the same and change the units digit to 0.
- Therefore, the estimated value of 33 is **30**.

### Step 3: Calculate the estimated quotient using the rounded values.
- Now, we replace 633 with 600 and 33 with 30 in the division.
- So, we calculate \( 600 \div 30 \).
- Performing the division:
\[ 600 \div 30 = 20 \]

### Final Answer:
The estimated quotient of \( 633 \div 33 \) is **20**.

---