1. Illustrate the associative property of multiplication with a numerical equations.
2. Explain how a property or properties can be used to find the product of 5(6.5)(2) without using a calculator or paper and pencil.
3. Explain the difference between the commutative and associative properties.
4.Write a short explanation as to whether or not there is a commutative property of division. Consider these examples.
5. Assess Yourself Are the values of the following verbal expressions sometimes, always, or never equal? Explain.
the product of nine and the square of t, multiplied by two nine times the product of the square of t and two
the product of nine and the square of t, multiplied by two
nine times the product of the square of t and two
Name the property illustrated by each statement.
6. (6 + 4) + 2 = 6 + (4 + 2)
7. 7(ab) = (7a)b
Simplify.
8. 4a + 2b + a
9. 6(0.4x + 0.2y) + 0.5x
10. Write an algebraic expression for the verbal expression
the product of six and the square of z, increased by the sum of seven, z, and 6. Then simplify, indicating the properties used.
the product of six and the square of z, increased by the sum of seven, z, and 6.
Then simplify, indicating the properties used.
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