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Question
- an online company ran a two-day sale. they generated $6.2 \times 10^5$ dollars on the first day and $1.9 \times 10^6$ dollars on the second day. find the combined revenue for the two days.
Step1: Convert to same exponent
First, rewrite \(6.2\times10^{5}\) to have exponent \(6\). We know that \(10^{5}=10^{6 - 1}=\frac{10^{6}}{10}\), so \(6.2\times10^{5}=6.2\times\frac{10^{6}}{10}=0.62\times10^{6}\).
Step2: Add the two numbers
Now add \(0.62\times10^{6}\) and \(1.9\times10^{6}\). Using the distributive property \(a\times10^{n}+b\times10^{n}=(a + b)\times10^{n}\), we get \((0.62 + 1.9)\times10^{6}\).
Calculate \(0.62+1.9 = 2.52\). So the combined revenue is \(2.52\times10^{6}\) dollars.
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The combined revenue for the two days is \(2.52\times10^{6}\) dollars.