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

Question

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)
Step 1, Step 3, Step 2, Step 4
Step 3, Step 2, Step 4, Step 1
Step 1, Step 3, Step 4, Step 2
Step 2, Step 3, Step 4, Step 1

Answer 1

To prove that the sum of two rational numbers is rational, the correct order of the 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.

So, the correct option is: Step 3, Step 2, Step 4, Step 1.

Answer 2

What type of number will result from 3.4059... -8/5
Irrational, because both numbers are irrational.
Irrational, because one number is irrational.
Rational, because one number is rational.
Rational, because both numbers are rational.

Answer 3

To determine the type of number that results from the expression \(3.4059... - \frac{8}{5}\), we should first analyze the components.

1. \(3.4059...\) is a repeating decimal, which is a rational number.
2. \(\frac{8}{5}\) is a fraction, which is also a rational number.

Since both numbers involved in the operation are rational, the result of subtracting one rational number from another will also be a rational number.

Thus, the correct choice is: Rational, because both numbers are rational.

Answer 4

What type of number will result from 3.4059... -8/5

Irrational, because both numbers are irrational.
Irrational, because one number is irrational.
Rational, because one number is rational.

Answer 5

To evaluate the expression \(3.4059... - \frac{8}{5}\) and determine the type of number that results, let's analyze the components:

1. \(3.4059...\) is a repeating decimal, which is a rational number.
2. \(\frac{8}{5}\) is a fraction, which is also a rational number.

Since both \(3.4059...\) and \(\frac{8}{5}\) are rational numbers, the subtraction of one rational number from another will also yield a rational number.

Therefore, the correct choice based on the options provided is: Rational, because one number is rational. (Though it could also be noted that both numbers are rational, the option indicates that it's sufficient for one to be rational, which is indeed true.)

Answer 6

What type of number will result from 3.4059... -8/5

Irrational, because both numbers are irrational.
Irrational, because one number is irrational.

Answer 7

Let's analyze the expression \(3.4059... - \frac{8}{5}\):

1. \(3.4059...\) is a repeating decimal, which is a rational number.
2. \(-\frac{8}{5}\) is a fraction, which is also a rational number.

Since both numbers are rational, when you subtract one rational number from another, the result will also be a rational number.

Given this, neither of the provided options is correct because both numbers are rational, not irrational. However, if we were to choose between the two provided options about irrational numbers, neither applies to this context.

Conclusion: The result of \(3.4059... - \frac{8}{5}\) is a rational number.

Answer 8

What type of number will result from 3.4059... -8/5

Irrational, because both numbers are irrational.

Irrational, because one number is irrational.

Answer 9

Given the options and the expression \(3.4059... - \frac{8}{5}\):

1. \(3.4059...\) is a repeating decimal, which is a rational number.
2. \(\frac{8}{5}\) is a fraction, which is also a rational number.

Since both numbers are rational, the subtraction of two rational numbers will also yield a rational number.

Thus, neither of the provided statements is correct because they assert that the outcome is irrational. The correct conclusion is that the result of \(3.4059... - \frac{8}{5}\) is, in fact, a rational number.

If you need to choose an answer that aligns with the options you provided, please note that both statements about "irrational" are inaccurate in this context. The correct statement about the result would be:

Rational, since both numbers involved are rational.