Question

Writing On a number line, between which two consecutive whole numbers would √221 be located? Use pencil and paper. Explain why it might be useful to approximate

the value rather than use the exact value.

Answer 1

Answer is between 14 and 15

Reason - 15^2 = 225 so the number would be between 14 and 15.

This would be helpful if you had a garden that’s area was 221, finding the approximate would give you “about” a 15 foot square.

The exact number would probably involve a long repeating decimal. Using an estimate eliminates the long numbers.