Find the estimated quotient for each of the following : `275 ÷ 25`

Answer

To find the estimated quotient of \( 275 \div 25 \), we will follow these steps:

### Step 1: Round off 275 to the nearest hundred
- The number 275 is a three-digit number.
- We look at the tens place, which is 7. Since 7 is greater than 5, we round up.
- Therefore, rounding 275 to the nearest hundred gives us **300**.

### Step 2: Round off 25 to the nearest ten
- The number 25 is a two-digit number.
- We look at the ones place, which is 5. Since the digit is 5, we round up.
- Thus, rounding 25 to the nearest ten gives us **30**.

### Step 3: Calculate the estimated quotient
- Now we divide the rounded numbers:
\[ \text{Estimated quotient} = \frac{300}{30} \]
- Performing the division:
\[ 300 \div 30 = 10 \]

### Final Answer
The estimated quotient of \( 275 \div 25 \) is **10**.

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