Question

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? 94.93divided by4.9

Answer 1

Answer:

The solution of$X=94.93\div 4.9$ is 19.

Step-by-step explanation:

The expression to be solved is:

$X=94.93\div 4.9$

• Solve by rounding the numbers first.

$X=94.93\div 4.9$

$X\approx 95\div 5$

   $=19$

The solution of$X=94.93\div 4.9$ is 19.

• Solve using a calculator.

$X=94.93\div 4.9$

    $=\frac{94.93}{4.9}\\\\=19.3735$

The solution of$X=94.93\div 4.9$ is 19.375.

The result obtained by the second method is approximately same as the result from the first method.

Thus, the solution of$X=94.93\div 4.9$ is 19.

Answer 2

The result of the actual computation can be approximated to the estimated calculation

(a) The estimate

The expression is given as:

$94.93 \div 4.9$

Round the above numbers

$94.93 \div 4.9 \approx 95 \div 5$

Divide 95 by 5

$94.93 \div 4.9 \approx 19$

(b) The actual quotient

The expression is given as:

$94.93 \div 4.9$

Rewrite the above expression as:

$94.93 \div 4.9 = 94.93 \div 4.9$

Divide 94.93 by 4.9

$94.93 \div 4.9 = 19.373.....$

Approximate

$94.93 \div 4.9 \approx 19$

By comparing the estimate and the actual computation, the results of the actual computation can be approximated to the estimated calculation

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