cubes and cube root
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The document discusses cubes and cube roots. A cube is a three-dimensional solid shape where all sides are equal. The cube of a number is when that number is multiplied by itself three times. A perfect cube is a number that can be written as the cube of another number, such as 1, 8, 27, 64, 125 and so on. The cube root of a perfect cube will be an integer, while the cube root of a non-perfect cube may need to be simplified by factoring the number into terms with a cube root of an integer. Examples of simplifying cube roots and finding cube roots of perfect and non-perfect cubes are provided.
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cubes and cube root
- 1. CH – CUBES AND CUBE ROOT
- 3. You know that the word “cube” is used in geometry. A cube is a solid figure which has all its sides equal.
- 4. Cube Roots The index of a cube root is always 3. Sign of cube root is 3 64
- 5. What does cube mean? The cube of a number is… …the value when multiplied by itself three times gives the original number.
- 6. Perfect Cubes If a number is a perfect cube, then you can find its exact cube root. A perfect cube is a number that can be written as the cube (raised to third power) of another number.
- 7. What are Perfect Cubes? • 13 = 1 x 1 x 1 = 1 • 23 = 2 x 2 x 2 = 8 • 33 = 3 x 3 x 3 = 27 • 43 = 4 x 4 x 4 = 64 • 53 = 5 x 5 x 5 = 125 • and so on and on and on…..
- 8. Examples: 3 3 27 216 63 27 3 3 216 6 3
- 9. Simplify Cube Roots Not all numbers or expressions have an exact cube root as in the previous examples. If a number is NOT a perfect cube, then you might be able to SIMPLIFY it.
- 10. Examples: perfect cube 3 27 2 3 2 3 3 10 4 3 6410 3 3 6 3 3 2 125 4 a a b b 3 54 1) 3 640 2) 3 7 5 500a b 3 6 3 3 2 125a b 4ab 2 3 2 5a b 4ab