Question

Use estimate to identify them. Show how you estimated the answers.
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 \(1.97\).