Is 0.9876.... a rational or irrational number? (1 point

Question

Responses

rational
rational

irrational

Answer 1

The number 0.9876..., where the digits "76" repeat indefinitely, is a rational number. Rational numbers are defined as numbers that can be expressed as a fraction of two integers (where the denominator is not zero). The repeating decimal can be expressed as the fraction 0.9876... = 0.9876 + 0.00007676..., which can be mathematically manipulated to show that it is a fraction. Therefore, the answer is:

rational.

Answer 2

Order the rational and irrational numbers from least to greatest.

(1 point)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
11/3 ,pi,3.245 rational number symbol 16 and rational number symbol 8

Answer 3

To order the numbers \( \frac{11}{3} \), \( \pi \), \( 3.245 \), \( 16 \), and \( 8 \) from least to greatest, we need to evaluate each number:

1. \( \frac{11}{3} \) ≈ 3.6667
2. \( \pi \) ≈ 3.1416
3. \( 3.245 \) = 3.245
4. \( 8 \) = 8
5. \( 16 \) = 16

Now, we can compare them:

• \( \pi \) (≈ 3.1416)
• \( 3.245 \)
• \( \frac{11}{3} \) (≈ 3.6667)
• \( 8 \)
• \( 16 \)

Putting these in order from least to greatest, we get:

1. \( \pi \)
2. \( 3.245 \)
3. \( \frac{11}{3} \)
4. \( 8 \)
5. \( 16 \)

So, the order from least to greatest is:

\( \pi, 3.245, \frac{11}{3}, 8, 16 \).

Answer 4

(1 point)
Responses
which point on the number line shows the position of rational number symbol 78
[Choice A]
[Choice A]

[Choice B]
[Choice B]

[Choice C]
[Choice C]

[Choice D]
[Choice D]

Answer 5

It seems that your question pertains to identifying the position of the rational number \( \frac{7}{8} \) on a number line, but you might not have included the actual visual representation of the choices (Choice A, B, C, D) for the number line.

To find the position of \( \frac{7}{8} \) on a number line, you can consider:

1. It is less than 1 (since \( \frac{7}{8} \) is less than \( \frac{8}{8} = 1 \)).
2. It is greater than \( \frac{3}{4} \) (which is \( 0.75 \)) and less than 1 (which is \( 1.00 \)).

If you can provide the visuals or characteristics of each choice, I'd be happy to help you determine which choice accurately represents the position of \( \frac{7}{8} \) on a number line!