All categories

1 year ago

Which of these nonterminating decimals can be converted into a rational number?

Mathematics

1 answer:

VARVARA [1.3K]1 year ago

7 0

The non-terminating decimal that can be converted into a rational number is given by:

0.321321321.

<h3>What are rational and irrational numbers?</h3>

Rational numbers are numbers that can be represented by fractions, with examples such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots, and the most common example of an irrational number is the number pi = 3.1415....

In the context of this problem, we are given four non-terminating decimal numbers, in which the only one with a repeating decimal pattern is:

0.321321321...

In which the pattern is:

321.

Hence the number can be written as the following rational number = fraction:

321/999.

With 999 being due to the fact that the repeating pattern is composed by three digits.

More can be learned about rational numbers at brainly.com/question/12088221

#SPJ1

You might be interested in

Pleaseee CAN SOMEONE HELP ME ITH THISS:(

laiz [17]

Answer:

Option 3

Step-by-step explanation:

When it says 12 less, that means -12.

Hope I helped. :)

4 0

3 years ago

The temperature at 5pm is 20 degrees. The temperature at 10pm is -5 degrees. What is the equation

marusya05 [52]

The equation is y=-5x + 20, x being the hours that go by after 5pm.

8 0

3 years ago

right three million, eight hundred sixty-two thousand, seven hundred ninety-five standard: and expanded:

harina [27]

Answer:

Expanded: 3,000,000- 800,000- 60,000- 2,000- 700- 90- 5

Standard: 386,2795

Hope this helps!!

4 0

2 years ago

What two numbers are located 5/8 of a unit from 1/6 on a number line

velikii [3]

Step 1
Find the common denominator.
5/8 and 1/6---------> would be 2³*3----> 24

step 2
multiply (5/8) by (3/3) and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24

step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24

the answer is
the two numbers are
19/24 and -11/24

see the attached figure

5 0

3 years ago

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Write a probability model for this ex

allsm [11]

Answer:

We estimate to have 8.33 times the number 6 in 50 trials.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

$P(X=k) = \binom{50}{k}(\frac{1}{6})^k(\frac{5}{6})^{50-k}$

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have $\frac{50}{6}$ number of times of having a 6, which is 8.33.

6 0

3 years ago

Read 2 more answers