Find the estimated quotient for each of the following :
`87 div 28`

Answer

To find the estimated quotient of \( 87 \div 28 \), we will round both numbers to the nearest ten and then divide them.

### Step-by-Step Solution:

**Step 1: Estimate 87**
- Look at the number 87. It is a two-digit number.
- To round it to the nearest ten, we look at the digit in the ones place, which is 7.
- Since 7 is greater than 5, we round up.
- Therefore, we add 1 to the tens place (8) and change the ones place to 0.
- So, \( 87 \) rounds to \( 90 \).

**Step 2: Estimate 28**
- Now, we look at the number 28, which is also a two-digit number.
- To round it to the nearest ten, we look at the digit in the ones place, which is 8.
- Since 8 is greater than 5, we round up.
- We add 1 to the tens place (2) and change the ones place to 0.
- So, \( 28 \) rounds to \( 30 \).

**Step 3: Divide the estimated values**
- Now we divide the estimated values: \( 90 \div 30 \).
- To perform the division, we can simplify it:
- \( 90 \div 30 = 3 \).

### Final Answer:
The estimated quotient of \( 87 \div 28 \) is \( 3 \).

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