Question

for each expression, estimate to decide whether the sum is closer to 400 or 500. closer to 400 closer to 500 311 + 198

Explanation:

Step1: Estimate 311

311 is close to 300, so we can approximate 311 as 300.

Step2: Estimate 198

198 is close to 200, so we can approximate 198 as 200.

Step3: Calculate the estimated sum

Now we add the approximated values: \( 300 + 200 = 500 \). But we should also check the actual difference from the real sum. The real sum is \( 311+198 = 509 \). The distance from 509 to 400 is \( 509 - 400 = 109 \), and the distance from 509 to 500 is \( 509 - 500 = 9 \). Since 9 is much smaller than 109, the sum is closer to 500.

Answer:

Closer to 500