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# Math OERTurn In ProblemsShapeshifting Rounding

The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him.

- Nikolay Konstantinov

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1. What number is two hundred twelve thousandths?

212,000 0.212

2. Which is the largest decimal? 0.243, 0.423, 0.324, 0.0423, 0.4023

0.243 0.423 0.324 0.0423 0.4023

3. Which is the smallest decimal? 0.243, 0.423, 0.324, 0.0423, 0.4023

0.243 0.423 0.324 0.0423 0.4023

4. Round 17,398.967 to the nearest ten.

17,390 17,400 17,398.96 17,398.97

5. Round 98,807.728 to the nearest tenth.

98,800 98,810 98,807.7 98,807.8

6. Round 54,498.66118 to the nearest thousand.

54,000 55,000 54,498.661 54,498.662

7. Notice that 2 ÷ 11 = 0.181818... Round that decimal to the nearest thousandth.

0.181 0.182 0.1818 0.1828

8. Alicia's rectangular garden bed has two long sides of length 2.74 meters and two short sides of length 1.22 meters. Estimate the sum of all four sides.

about 6 meters about 8 meters about 10 meters about 12 meters

9. Ben's rectangular garden bed has two long sides of length 3.048 meters and two short sides of length 0.9144 meters. Estimate the sum of all four sides.

about 6 meters about 8 meters about 10 meters about 12 meters

10. Which garden bed estimate will be closer to the actual sum? How can you know without calculating the actual sums?

Alicia's, because the provided numbers had fewer decimal digits
Alicia's, because the actual sum will be smaller
Ben's, because rounding changed the numbers less
Ben's, because the actual sum will be larger