 The formula for the size of a file that was downloaded over time $$t$$ and at an average rate $$r$$ is $$r \cdot t$$. Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds. What calculation will give us the estimated size of the file Siena downloaded, in megabytes?


<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea> The formula for the size of a file that was downloaded over time $$t$$ and at an average rate $$r$$ is $$r \cdot t$$. Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds. What calculation will give us the estimated size of the file Siena downloaded, in megabytes?
</textarea> The formula for the size of a file that was downloaded over time <math><semantics><mrow><mi>t</mi></mrow><annotation encoding="application/x-tex">t</annotation></semantics></math>t and at an average rate <math><semantics><mrow><mi>r</mi></mrow><annotation encoding="application/x-tex">r</annotation></semantics></math>r is <math><semantics><mrow><mi>r</mi><mo>⋅</mo><mi>t</mi></mrow><annotation encoding="application/x-tex">r \cdot t</annotation></semantics></math>r⋅t. Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds. What calculation will give us the estimated size of the file Siena downloaded, in megabytes?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Size of the file $$=800 \times 110$$. Kilobytes $$=800 \times 110 \times \frac{1}{1000}$$ megabytes $$=\frac{800}{1000} \cdot 110 \quad[\because 1$$ megabytes $$=1000$$ kilobytes 

</textarea>Size of the file <math><semantics><mrow><mo>=</mo><mn>8</mn><mn>0</mn><mn>0</mn><mo>×</mo><mn>1</mn><mn>1</mn><mn>0</mn></mrow><annotation encoding="application/x-tex">=800 \times 110</annotation></semantics></math>=800×110. Kilobytes <math><semantics><mrow><mo>=</mo><mn>8</mn><mn>0</mn><mn>0</mn><mo>×</mo><mn>1</mn><mn>1</mn><mn>0</mn><mo>×</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow></mfrac></mrow><annotation encoding="application/x-tex">=800 \times 110 \times \frac{1}{1000}</annotation></semantics></math>=800×110×​1000​​1​​ megabytes <math><semantics><mrow><mo>=</mo><mfrac><mrow><mn>8</mn><mn>0</mn><mn>0</mn></mrow><mrow><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow></mfrac><mo>⋅</mo><mn>1</mn><mn>1</mn><mn>0</mn><mspace width="1em"></mspace><mo>[</mo><mo>∵</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">=\frac{800}{1000} \cdot 110 \quad[\because 1</annotation></semantics></math>=​1000​​800​​⋅110[∵1 megabytes <math><semantics><mrow><mo>=</mo><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow><annotation encoding="application/x-tex">=1000</annotation></semantics></math>=1000 kilobytes 
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