Estimating Square Roots 8.NS.2. Perfect Squares A PERFECT SQUARE is the square of a whole number. The perfect squares can be found along the diagonal.

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Presentation transcript:

Estimating Square Roots 8.NS.2

Perfect Squares A PERFECT SQUARE is the square of a whole number. The perfect squares can be found along the diagonal of the multiplication table.

Perfect Squares A PERFECT SQUARE geometrically represents the area of a square shape.

Perfect Cubes A PERFECT CUBE is the cube of an integer. The first ten perfect cubes are: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

Perfect Cubes A PERFECT CUBE geometrically represents the volume of a three dimensional cube.

Solving Square/Cube Root Equations

Estimating Square Roots If the number is not a perfect square and you need to find the square root you can ESTIMATE! Example:

Estimating Square Roots 1) First figure out the two perfect squares the number is between: is between - So is 3. something 2) Now create a fraction:

Estimating Square Roots 3) Convert the fraction to a decimal. USE LONG DIVISION! is approximately 3.4 4) Now use the guess and check method: Start with 3.45 and square it: A bit lower than 12 (go higher)

Estimating Square Roots Try 3.46 and square it: closer to 12 (less than 12) Try 3.47 and square it: which is more than 12 So is between 3.46 and 3.47

Estimating Square Roots Next you would try and square it: close to 12 (just above it) Try and square it: just under 12 So is between and Use the LOWER number and round: