Question

Estimate 1 3/4 - 2 3/8​

Answer 1

The estimate of
`\(1 (3)/(4) - 2 (3)/(8)\) is \(0\).` Rounding
`\(1 (3)/(4)\)` to
`\(2\)` and
`\(2 (3)/(8)\) to \(2\)` simplifies the subtraction, resulting in zero.

To estimate
`\(1 (3)/(4) - 2 (3)/(8)\),` you can first round each mixed number to the nearest whole number to simplify the calculation.
`\(1 (3)/(4)\)` rounds to
`\(2\)` and
`\(2 (3)/(8)\)` rounds to
`\(2\).` Now, you have
`\(2 - 2\).` Subtracting, you get
`\(0\).`

Estimating involves finding a close approximation of the actual value to make mental calculations more straightforward. Rounding to whole numbers simplifies the subtraction, and in this case, the difference between
`\(1 (3)/(4)\) and \(2 (3)/(8)\)` is effectively zero.

Breaking down the calculation further:

`\[1 (3)/(4) \approx 2 \quad \text{and} \quad 2 (3)/(8) \approx 2\]`

Subtracting the rounded values:

`\[2 - 2 = 0\]`

Therefore, the estimate of
`\(1 (3)/(4) - 2 (3)/(8)\) is \(0\)`. Keep in mind that this is an approximate result obtained through rounding, and the exact difference may be a small fraction. Estimation is useful for quick mental math and gaining a general sense of the answer without the need for precise calculations.