Question

1. reasoning what is a good estimate for 380% of 60? explain.

Explanation:

Step1: Convert percentage to decimal

To find a percentage of a number, we first convert the percentage to a decimal. For \(380\%\), we divide by 100, so \(380\% = \frac{380}{100}=3.8\). But for estimation, we can round \(380\%\) to a simpler number. Since \(380\%\) is close to \(400\%\) (or \(4\) as a decimal), we can use \(400\%\) (which is \(4\)) for estimation.

Step2: Multiply by the number

Now, we find \(400\%\) (or \(4\)) of \(60\). The formula for finding a percentage of a number \(n\) is \(\text{Percentage (as decimal)} \times n\). So, \(4\times60 = 240\). We can also check with the original percentage: \(3.8\times60=228\), and our estimate of \(240\) is close and easy to calculate.

Answer:

A good estimate for \(380\%\) of \(60\) is \(240\). We estimate \(380\%\) as \(400\%\) (or \(4\)) and then calculate \(4\times60 = 240\). The actual value \(3.8\times60 = 228\) is close to \(240\), so \(240\) is a reasonable estimate.