Questions: Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 28.44 - 18.443 An estimate of the difference is (Type a whole number.)

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer?

28.44 - 18.443

An estimate of the difference is (Type a whole number.)

Transcript text: Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? \[ 28.44 \text { - } 18.443 \] An estimate of the difference is $\square$ (Type a whole number.)

Solution

Solution Steps

Solution Approach

To estimate the difference between 28.44 and 18.443, we can round both numbers to the nearest whole number. This makes the arithmetic simple to perform mentally. After estimating, we can use Python to calculate the exact difference and compare it to our estimate.

Step 1: Estimate the Difference

To estimate the difference between $ 28.44 $ and $ 18.443 $, we round both numbers to the nearest whole number: \[ 28.44 \approx 28 \quad \text{and} \quad 18.443 \approx 18 \] Thus, the estimated difference is: \[ 28 - 18 = 10 \]

Step 2: Calculate the Exact Difference

Next, we calculate the exact difference: \[ 28.44 - 18.443 = 9.997 \]

Step 3: Compare Estimate and Exact Value

The estimated difference is $ 10 $ and the exact difference is $ 9.997 $. The estimate is reasonably close to the actual value.