Estimating Square Roots

Identify each number as a perfect square or a non-perfect square. Perfect Square 1 4 9 16 25 64 81 121 169 289 Non-Perfect Square 5 18 45 140 250 333 63 178 344 Square Roots on a Number Line Match the point on the number line with the correct number. A 2 B 3 C 4 D 5 E 6 Spacing on the number line Identify how many spaces there are on each section of the number line between the square roots. 5 7 9 11 Looking at the number line above, is there a quicker way to find the spacing between the perfect squares? Explain your process. Converting Fractions to Decimals Convert fractions from the number line into decimals.(Remember that to convert fractions to decimals you divide the numerator by the denominator.)Answers Must be in the form of 0.2 or 0.8 Fraction Decimal (to the nearest tenth) 2 0.4 4 0.8 2 0.3 5 0.7 4 0.4 7 0.8 3 0.3 9 0.8 Estimating Non-Perfect Squares Give the value of each square root in decimal form to the nearest tenth. 2.4 5.8 5.3 3.6 4.4 Which of the following is the best estimated value for √96? 8.8 9.2 9.8 10.2 Which of the following is the best estimated value for √148? 11.8 12.2 12.4 13.1 Which of the following is the best estimated value for √216? 13.9 14.3 14.7 15.2