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Estimating Irrational Numbers

Find the perfect squares either side, then narrow it down by testing tenths.

ExampleBetween which two whole numbers does √10 lie? Estimate it to one decimal place and mark it on the number line.33.13.23.33.43.53.63.73.83.94
√10 between 3 and 4    estimate 3.1
  1. 1.Between which two whole numbers does √3 lie? Estimate it to one decimal place and mark it on the number line.11.11.21.31.41.51.61.71.81.92
    √3 between and     estimate
  2. 2.Without a calculator, put √88 and √48 in order, and say which whole numbers each lies between.
    Order:
    √88 between and     √48 between and
  3. 3.Between which two whole numbers does √38 lie? Estimate it to one decimal place and mark it on the number line.66.16.26.36.46.56.66.76.86.97
    √38 between and     estimate
  4. 4.Between which two whole numbers does √82 lie? Estimate it to one decimal place and mark it on the number line.99.19.29.39.49.59.69.79.89.910
    √82 between and     estimate
  5. 5.Without a calculator, put √54 and √31 in order, and say which whole numbers each lies between.
    Order:
    √54 between and     √31 between and