Quiz #1 Review

Select the irrational numbers

• 2

• 2.3454128904...

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The sum is a non-terminating, non-repeating decimal.

Is the result rational or irrational? Explain.

• Rational; The product is a repeating decimal.

• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product is a non-terminating and non-repeating decimal.

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; This is a terminating decimal.

• Rational; The product of two rationals is always rational.
• Irrational; The product is a non-terminating and non-repeating decimal.

(5•2) • 4 = 5 • (2•4)

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Transitive Property

• Symmetric Property

-3(a+c) = -3a-3c

• Transitive Property

• Distributive Property

• Symmetric Property

• Commutative Property of Multiplication

a² + (b² + c²) = (a² + b²) + c²

• Commutative Property of Addition

• Zero Property

• Associative Property of Addition

• Identity Property of Addition

3m(m + 4n - 6g) = 3m² + 12mn - 18mg

• Transitive Property

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Distributive Property