Question

for each expression, estimate to decide whether the sum is closer to 800 or 900. closer to 800 415 + 400 closer to 900 605 + 292

Explanation:

For \(415 + 400\):

Step1: Calculate the sum

\(415 + 400 = 815\)

Step2: Compare with 800 and 900

The difference between \(815\) and \(800\) is \(|815 - 800| = 15\), and the difference between \(815\) and \(900\) is \(|815 - 900| = 85\). Since \(15 < 85\), \(815\) is closer to \(800\).

For \(605 + 292\):

Step1: Calculate the sum

\(605 + 292 = 897\)

Step2: Compare with 800 and 900

The difference between \(897\) and \(800\) is \(|897 - 800| = 97\), and the difference between \(897\) and \(900\) is \(|897 - 900| = 3\). Since \(3 < 97\), \(897\) is closer to \(900\).

Answer:

• \(415 + 400\): Closer to 800
• \(605 + 292\): Closer to 900