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Sam has three bags of marbles. The first bag has three-hundred-seventy marbles. The second bag has four-hundred-twenty marbles. And the third bag has two-hundred-ten marbles. Using front-end estimation, what is the approximate total of Sam’s marbles?

Question

Sam has three bags of marbles. The first bag has three-hundred-seventy marbles. The second bag has four-hundred-twenty marbles. And the third bag has two-hundred-ten marbles. Using front-end estimation, what is the approximate total of Sam’s marbles?

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Solution

Front-end estimation is a particular way of rounding numbers to make them easier to work with. In this case, we'll round each number to the nearest hundred and then add them together.

  1. The first bag has 370 marbles, which rounds to 400.
  2. The second bag has 420 marbles, which rounds to 400.
  3. The third bag has 210 marbles, which rounds to 200.

Now, we add these rounded numbers together:

400 (from the first bag) + 400 (from the second bag) + 200 (from the third bag) = 1000

So, using front-end estimation, Sam has approximately 1000 marbles.

This problem has been solved

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