Question

for each expression, estimate to decide whether the sum is closer to 800 or 900.
closer to 800
$415 + 400$ $605 + 212$
closer to 900
$605 + 202$ $285 + 499$
$310 + 520$

Explanation:

Step1: Calculate the sum of 310 and 520

$310 + 520 = 830$

Step2: Compare the distance from 830 to 800 and 900

Distance to 800: $|830 - 800| = 30$
Distance to 900: $|900 - 830| = 70$
Since $30 < 70$, 830 is closer to 800. But wait, let's re - check. Wait, 310+520 = 830. The difference between 830 and 800 is 30, and between 830 and 900 is 70. But maybe I made a mistake in the initial thought. Wait, no, 830 is 30 away from 800 and 70 away from 900, so it's closer to 800? But wait, maybe the problem has a typo? Wait, no, let's recalculate 310 + 520. 300+500 = 800, 10 + 20 = 30, so 800+30 = 830. Now, the mid - point between 800 and 900 is 850. Since 830 < 850, it's closer to 800? Wait, but maybe the original problem's intention? Wait, no, 830 is 30 from 800 and 70 from 900, so it's closer to 800. But wait, looking at the other problems:

For 415+400: 415 + 400 = 815, which is 15 from 800 and 85 from 900, closer to 800.

605+212: 605+212 = 817, closer to 800.

605+202: 605+202 = 807, closer to 800? Wait, no, 605+202 = 807, which is 7 from 800 and 93 from 900, closer to 800. Wait, but the "Closer to 900" section has 605+202? Wait, no, maybe a typo in the problem. Wait, 605+292: 605+292 = 897, which is closer to 900. And 285+499: 285+499 = 784? Wait, no, 285+499 = 784? Wait, 285+500 = 785, so 785 - 1 = 784, which is closer to 800? Wait, this is confusing. But back to 310+520 = 830. The distance to 800 is 30, to 900 is 70, so it's closer to 800.

Answer:

Closer to 800