Use estimate to identify them. Show how you estimated the answers.

Question

C) (816+214)÷(103+419)=1,97

Answer 1

To estimate the value of the expression \((816 + 214) ÷ (103 + 419)\), we can round the numbers to make the calculations simpler.

1. Estimate the numerator:

   • \(816\) rounds to \(800\).
   • \(214\) rounds to \(200\).
   • So, \(816 + 214 \approx 800 + 200 = 1000\).

2. Estimate the denominator:

   • \(103\) rounds to \(100\).
   • \(419\) rounds to \(400\).
   • So, \(103 + 419 \approx 100 + 400 = 500\).

3. Now, divide the estimated numerator by the estimated denominator: \[ \frac{1000}{500} = 2. \]

Thus, the estimated value of \((816 + 214) ÷ (103 + 419)\) is approximately \(2\).

Now, let's compare this with the given answer of \(1.97\). The estimation gives us a close approximation, suggesting that the actual value is indeed slightly less than \(2\), likely aligning with \(1.97\).