The following worksheets and notes were adapted from Math Makes Sense 9 - Pearson
Square Roots Notes
1) How can you tell if a decimal is a perfect square?
A decimal is a perfect square if can be represented as the area of a square, if it can be written as a fraction that is a perfect square, and/or if the square root on the calculator screen is a terminating or repeating decimal.
2) How can you tell if a fraction is a perfect square?
A fraction is a perfect square if it can be represented as a the area of a square, if the numerator and denominator of the fraction in simplest form are perfect squares, and /or if the square root on the calculator screen is a terminating or repeating decimal.
3) List all the whole numbers from 1 to 200.
The whole numbers from 1 to 200 that are perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196. Write the square root of each number; 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14.
4) Explain the term perfect square.
A perfect square is a number that can be written as the product of two equal numbers. A perfect square can be represented as the area of a square on grid paper. The side length of the square, multiplied by itself, or squared, gives you a perfect square.
A decimal is a perfect square if can be represented as the area of a square, if it can be written as a fraction that is a perfect square, and/or if the square root on the calculator screen is a terminating or repeating decimal.
2) How can you tell if a fraction is a perfect square?
A fraction is a perfect square if it can be represented as a the area of a square, if the numerator and denominator of the fraction in simplest form are perfect squares, and /or if the square root on the calculator screen is a terminating or repeating decimal.
3) List all the whole numbers from 1 to 200.
The whole numbers from 1 to 200 that are perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196. Write the square root of each number; 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14.
4) Explain the term perfect square.
A perfect square is a number that can be written as the product of two equal numbers. A perfect square can be represented as the area of a square on grid paper. The side length of the square, multiplied by itself, or squared, gives you a perfect square.