Rational & Irrational Numbers Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.

5 of 135 of 13 Items

Question

In order to prove that the sum of two rational numbers, a and b, is rational, put the following steps in the correct order.

Step 1. Identify the sum as rational.

Step 2. Find a common denominator.

Step 3. Write a and b as fractions.

Step 4. Add the fractions.

(1 point)

Responses

Step 1, Step 3, Step 4, Step 2

Step 1, Step 3, Step 4, Step 2

Step 3, Step 2, Step 4, Step 1

Step 3, Step 2, Step 4, Step 1

Step 2, Step 3, Step 4, Step 1

Step 2, Step 3, Step 4, Step 1

Step 1, Step 3, Step 2, Step 4

Answer 1

To prove that the sum of two rational numbers \( a \) and \( b \) is rational, the correct order of steps would be:

1. Step 3: Write \( a \) and \( b \) as fractions.
2. Step 2: Find a common denominator.
3. Step 4: Add the fractions.
4. Step 1: Identify the sum as rational.

Thus, the correct response is:

Step 3, Step 2, Step 4, Step 1.