Operations on Rational and Irrational Numbers

Question 1

Without calculating the sum, determine whether each answer will be rational or irrational.

Revolt · Accepted Answer

irrational

Question 2

Question 2

Revolt · Accepted Answer

irrational

Question 3

Question 3

Revolt · Accepted Answer

rational

Question 4

All of the numbers in these multiplication problems are rational, which means that each of these numbers can be written as a

Revolt · Accepted Answer

fraction.

Question 5

Since the answers to these problems can be written as fractions, the answers are

Revolt · Accepted Answer

rational.

Question 6

Without finding the product, determine whether each product will be rational or irrational.

Revolt · Accepted Answer

irrational

Question 7

Question 7

Revolt · Accepted Answer

rational

Question 8

Explain why the following problem will have an irrational answer.

Revolt · Accepted Answer

The product is a non-repeating non-terminating decimal.

Question 9

Question 9

Revolt · Accepted Answer

irrational

Question 10

This shows that the product of two rational numbers will always be

Revolt · Accepted Answer

rational.

Operations on Rational and Irrational Numbers Answers