Estimate the following by rounding off each number of its greatest place: `65321-:2345`

Answer

To estimate the division of 65,321 by 2,345 by rounding off each number to its greatest place value, we can follow these steps:

### Step 1: Identify the greatest place value of 65,321
The greatest place value in 65,321 is the ten-thousands place. The digit in the ten-thousands place is 6. We look at the next digit (5) to determine whether to round up or down.

- Since 5 is equal to or greater than 5, we round 6 up to 7.

**Estimated value of 65,321 = 70,000**

### Step 2: Identify the greatest place value of 2,345
The greatest place value in 2,345 is the thousands place. The digit in the thousands place is 2. We look at the next digit (3) to determine whether to round up or down.

- Since 3 is less than 5, we do not round up.

**Estimated value of 2,345 = 2,000**

### Step 3: Perform the division of the estimated values
Now we divide the estimated values:

\[ \frac{70,000}{2,000} \]

### Step 4: Simplify the division
We can simplify the division by canceling out the zeros:

\[ \frac{70,000 \div 1,000}{2,000 \div 1,000} = \frac{70}{2} = 35 \]

### Final Answer
The estimated result of \( \frac{65,321}{2,345} \) is approximately **35**.

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