Quiz about Rational or Irrational Sums and Products

Question 1

Which set of Real numbers contains decimals that do not terminate?

Accepted Answer

Irrational numbers

Answer

Rational Numbers

Answer

Integers

Answer

Natural numbers

Question 2

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 4

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 5

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

$$6\ \cdot\frac{1}{2}\ $$ simplifies to a

Accepted Answer

Rational Number

Answer

Irrational Number

Question 10

$$\frac{1}{2}\cdot\frac{3}{4}\cdot\ \sqrt{2}\ $$ simplifies to a

Accepted Answer

Irrational Number

Answer

Rational Number

Question 11

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Rational; The product of two rationals is always rational.

Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Question 12

Is the result rational or irrational? Explain.

Accepted Answer

Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

Answer

Rational; The sum of two rationals is always rational.

Answer

Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

Answer

Rational; The product of two rationals is always rational.

Question 13

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The product of two rationals is always rational.

Question 14

Is the result rational or irrational? Explain.

Accepted Answer

Rational; The product of two rationals is always rational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Question 15

Is the result rational or irrational? Explain.

Accepted Answer

Rational; The sum of two rationals is always rational.

Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The product of two rationals is always rational.

Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

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