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Last summer, Jesse’s family drove to visit his grandmother. Jesse kept track of how far they drove each day.Monday: 242 mi.Tuesday: 324 mi.Wednesday: 212 mi.Thursday: 363 mi.Friday: 132 mi.Use front-end estimation to find a reasonable estimate of the total distance Jesse’s family traveled. A. 1000 mi. B. 1100 mi. C. 1200 mi. D. 1300 mi.

Question

Last summer, Jesse’s family drove to visit his grandmother. Jesse kept track of how far they drove each day.Monday: 242 mi.Tuesday: 324 mi.Wednesday: 212 mi.Thursday: 363 mi.Friday: 132 mi.Use front-end estimation to find a reasonable estimate of the total distance Jesse’s family traveled. A. 1000 mi. B. 1100 mi. C. 1200 mi. D. 1300 mi.

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Solution

Front-end estimation is a particular way to estimate an answer to a problem by using only the "front" digits (the digits with the highest place value) of the numbers involved.

Here's how you can use front-end estimation to estimate the total distance Jesse's family traveled:

  1. Monday: 242 mi. - The front-end digit is 2 (in the hundreds place), so we estimate this as 200 mi.
  2. Tuesday: 324 mi. - The front-end digit is 3 (in the hundreds place), so we estimate this as 300 mi.
  3. Wednesday: 212 mi. - The front-end digit is 2 (in the hundreds place), so we estimate this as 200 mi.
  4. Thursday: 363 mi. - The front-end digit is 3 (in the hundreds place), so we estimate this as 300 mi.
  5. Friday: 132 mi. - The front-end digit is 1 (in the hundreds place), so we estimate this as 100 mi.

Now, add up all these estimates: 200 mi + 300 mi + 200 mi + 300 mi + 100 mi = 1100 mi.

So, a reasonable estimate of the total distance Jesse's family traveled is 1100 miles. Therefore, the answer is B. 1100 mi.

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