Quiz about Operating Rational and Irrational Numbers

Question 1

A terminating decimal is

Accepted Answer

rational.

Answer

irrational.

Question 2

$$4\pi\ -\ 4\pi\ =\ ?,\ which\ is\ ?$$

Accepted Answer

rational

Answer

irrational

Question 3

$$\sqrt{7}\ \cdot\ \sqrt{7}\ =\ ?,\ which\ is\ ?$$

Accepted Answer

rational

Answer

irrational

Question 4

A rational number

Accepted Answer

is a number that can be written as a fraction.

Accepted Answer

can be a repeating decimal.

Answer

is always positive.

Answer

is a fraction but not a decimal.

Question 5

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 6

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 7

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 8

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 9

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 10

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.

Question 11

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.

Question 12

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 13

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 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.

Operating Rational and Irrational Numbers

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