Web Analytics

Estimate the total weight of two boxes that weigh 9.4 and 62.6 pounds using rounding and compatible numbers. which estimate is closer to the actual total weight? why?

Verified Answer :

Scryt

With rounding:
\(4\) is less than \(5\) so we round it down to whole number:
\(9.4\approx9\)

\(6\) is more than \(5\) so we round it up to whole number:
\(62.6\approx63\)

Now we have to add rounded numbers
\(63+9=72\)

Without rounding:
\(62.6+9.4\) to make it more visible I will write it differently:

\(62+9+0.6+0.4\) is equal to \(62.6+9.4\)

we can see that \(0.6+0.4\) is equal to \(1\)

so:
\(62+9+1=72\)

As you see in this example those equations are equal so it doesn't matter if you take rounded numbers or not, it may be different in case like \(62.4+9.4\)  ( \(0.4\) is just an example it could be any other number between \(0-4\) ) because in this case it will be equal \(71\) and another example \(62.5+9.5\) (in this case \(0.5\) is just an example, it can be any other number between \(5-9\) :) ) and here, answer for this equation is \(73\).