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16. higher order thinking rudy is going on a trip from chicago to omaha…

Question

  1. higher order thinking rudy is going on a trip from chicago to omaha, and then from omaha to tulsa. luis will travel from dallas to omaha. how much farther will rudy travel than luis? explain how you solved the problem.

you can use an inverse operation to check your solution to each part of a problem.
data
routes to omaha
trip miles
dallas to omaha 644
chicago to omaha 459
tulsa to omaha 387

Explanation:

Response
For Question 15:

Step1: Estimate distances first

Round values: $459 \approx 460$, $644 \approx 640$

Step2: Calculate estimated difference

$640 - 460 = 180$

Step3: Find exact difference

$644 - 459 = 185$

Step4: Verify reasonableness

185 is close to the estimate 180, so it is reasonable.

Step1: Calculate Rudy's total trip

$459 + 387 = 846$

Step2: Identify Luis's trip distance

Luis's distance = 644 miles

Step3: Find the difference

$846 - 644 = 202$

Answer:

a. Estimated answer: 180 miles
b. The distance from Dallas to Omaha minus the distance from Chicago to Omaha equals how many miles closer Chicago is to Omaha than Dallas.
c. The exact answer of 185 miles is close to the estimated 180 miles, so the answer is reasonable.
Final exact answer: 185 miles

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For Question 16: