1) Give an example of a rational number AND an irrational number.
What is the difference between them?

2) What is the decimal equivalent of your two examples?

3) Can every repeating decimal be written as a rational number? Explain why or why
not.

Answers

Answer 1

Answer:

Step-by-step explanation:

A rational number is one that can be expressed as a fraction. Pi cannot be. If I tell you that the 2000th digit of pi is an 8 (which it probably isn't) and I ask you to tell me the 2001 value of pi, you have no better odds that 1/10 of getting it right.

A rational number can always be reduced to a fraction. 20 1/2 can be expressed as a fraction. It is 20.5

Pi is irrational. I don't know the value of pi beyond what a calculator can tell me.  3.14159265 The next digit is a 4. I know this only because that is what the calculator tells me.

Repeating decimals call always be represented as a fraction. For ex

x = 0.123123123123123

1000x = 123.123123123123

       x =       .123123123123123      Subtract

999x = 123

This comes about because in both cases what is after the decimal is the same.

x = 123/999 = 41/333


Related Questions

Special Right Triangles

Answers

Answer:

first option

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 32 ( divide both sides by 2 )

x = 16

----------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 16[tex]\sqrt{3}[/tex]

Write an ordered pair for 3 glasses
and the amount of juice needed.
( PLEASE HURRYY !!)

Answers

Apples are amazing

Sophia bought 24 chicken wings for $52.80. How much does each wing cost?​

Answers

Answer:

2.2$

Step-by-step explanation:

Because 52.80 divided b 24 equals 2.2$

have a nice day! :>

PLEASE HELP MEEEEEEE

Answers

Answer: 50

Substitute 0 for x

Y = 75(0)+50

Y= 50

HELP WITH THIS WORD PROBLEM

While riding a train in New York City, you notice there are 125 passengers in the first carriage, 10 more passengers in the second carriage then there are in the first carriage, and 10 more passengers in the third carriage then there are in the second carriage. If this pattern continues, how may passengers are there in the fourth carriage?

Answers

Answer:

1 cart = 125

2 cart = 135

3 cart = 145

4 cart = 155

Step-by-step explanation:

Please help!!! thank you so so much!!! will give brainliest!

Answers

Answer:

A

HOPE THIS HELPS YOU

GIVE THANKS

MARK AS BRAINLIEST

Okay now this is worth 40points and help me

Answers

Answer:

Row IV

Step-by-step explanation:

I am pretty sure I am correct because I have done this before and If I calculate correctly know I am correct If I am wrong then OOOOOOOOF

Answer:

Row III and Row V

Step-by-step explanation:

Whole numbers are all positive numbers including 0. However, these numbers cannot have fractions or decimals. Integers include numbers that are negative and positive, however they cannot have fractions or decimals either. 0 counts as an integer, too. Rational numbers are numbers that can be written as a fraction. Decimals can be rational, too - they just have to either terminate (end at some point) or repeat. Knowing these rules...

-98 would qualify as an integer and a rational number - but not a whole number because it's negative. Row I is correct. 0 would qualify as an integer, whole number, and rational number. Row I is correct. -0.7878... would not qualify as an integer or whole number - it is a decimal - but it would qualify as a rational number since it repeats. Therefore, Row III is wrong. [tex]2\frac{15}{17}[/tex] would not qualify as an integer or whole number - it is a fraction - but it would qualify as a rational number. It can be written as a fraction. Row IV is correct. 10.5 would not qualify as an integer or whole number - it is a decimal number - but it could be rational since it can be written as [tex]10 \frac{1}{2}[/tex]. Row V is wrong.

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices

Answers

Answer:

[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

[tex]y=ab^x[/tex]

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

write the ratio in simplest form 2 feet to 40 inches​

Answers

Answer:

2+5

Step-by-step explanation:

Ratio of 2feet to 40 inches = 3/5 = 3:5

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given measurements,

2 feet and 40 inches

1 feet = 12 inches

2 feet = 24 inches

Ratio of 2 feet to 40 inches = 24/40

                                              = 3/5

Hence, 3/5 is the ratio of 2 feet to 40 inches.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ5

An information technology company produces 45% of its computer chips at a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is known that 0.85% of the chips produced in St. Louis are defective, while 1.05% of the chips produced at the plan in Chicago are defective. What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?

Answers

Answer:

the probability of the computer chip produced and defective is 0.003825

Step-by-step explanation:

The computation of the probability of the computer chip produced and defective is shown below

= Produced percentage × defective percentage

= 45% × 0.85%

= 0.003825

Hence, the probability of the computer chip produced and defective is 0.003825

The same is considered and relevant too

Select the example of an inequality.
o 14y = 2
0 32 - 4
044 = 15
4y < 64

Answers

The last one is the answer

The circumference of a circle is 12\piπ ft. Find its diameter, in feet.

Answers

Answer:

Sorry if i am wrong but i am pretty sure it is d≈3.82

Step-by-step explanation:

How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?

Answers

I got you add 2% to 400 and there ur answer
With $400.00 account paying 2% interest in a year, it would take 25 years to double the money. Yearly interest is at $20.00.

Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.​

Answers

Answer

6.038 times 100 = 603.8

603.8 / 10 = 60.38

60.38 / 1,000 = 0.06038

0.6038 times 10 = 6.038

Answer:

6.038 times 100 = 603.8

603.8 / 10 = 60.38

60.38 / 1,000 = 0.06038

0.6038 times 10 = 6.038

( Did it on college board)

Step-by-step explanation:

(4^3)² × 4^2
Please help

Answers

Answer:

65536

Step-by-step explanation:

=(642)(42)

=4096(42)

=(4096)(16)

i hope this helps if u need me to explain more i will be happy too <3

I really need help with this

Answers

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

Please answer my question

Answers

Answer:

1 is 55

2 is 128

3 is 175

4 is no because the sell price is not 12 dollars, its 12 dollars extra

5 is A

Step-by-step explanation:

Solve for y, z, x or t: x/m-x=n if m≠1

Answers

X^2, y ....................:/.....

Subtract 28.9 − 9.25 =_____

Answers

Answer:

19.65

Step-by-step explanation:

Answer:

19.65

Step-by-step explanation:

..........

which numbers for b would make √b irrational​

mark as brilliant!

Answers

Answer:

All of the options when substituted for b will make the root of b irrational

Step-by-step explanation:

Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers

For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.

So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares

The radius of a circle is represented by the expression x+3. Express the circumferend terms of x​

Answers

Answer:

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Step-by-step explanation:

Given that

Radius = r =x+3

The circumference of a circle is the distance around boundary of the circle.

The circumference of circle is given by the formula.

[tex]C = 2\pi r[/tex]

Putting the value of r, we get

[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]

Hence,

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling? Explain your answer.

Answers

Complete question :

You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?

Answer:

cell phone card won't be enough.

Step-by-step explanation:

Cell phone card value = $75

United kingdom = 23cent per minute

France = 21 cent per minute

United Kingdom minutes = 250

France minutes = 100

Total cost :

23 cent = $0.23

21 cent = $0.21

Total :

United Kingdom = 0.23 * 250 = $57.5

France = 0.21 * 100 = $21

$21 + $57.5 = $78.5

$78.5 > $75

Then, it can be concluded that the cell phone card won't be enough.

Which pairs of figures are congruent? Which pairs are similar?

Answers

Answer:

put a picture with the question and I can help you

Answer:

Where’s the pic

Step-by-step explanation:

What’s the measure of <7

Answers

It’s 115 degrees.


Hope that helps

2/7 (14 h + 7/2) - 3h = 9
PLEASE HELP ME.. I HAVE THIS DUE TODAY

Answers

the answer is h=8 hopefully i’m right

In a group of 38 pupils, 14 play the flute only.
8 play the piano only.
11 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?



pLZZZZZ need help, will give brainlist if solved

Answers

Hey there!

The answer to your question is 5/38

We can find this answer by taking the total group and subtracting all the data to see how many are left who don't play either:

38 - 14 - 8 - 11

5

This means that 5 out of every 38 pupils do not play either instrument, so the probability would be 5/38.

Hope this helps! Have a great day and good luck on your assignment!

How can I calculate the zeros of x^3+3x^2-4?
I know the answers (x1= -2 and x2= 1) but I need to show why these are the zeros.

Answers

Answer:

x = 2

x = -1

can someone please help asap?!

Answers

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                     [tex]\displaystyle m=\frac{-1-0}{5-2}[/tex][Fraction] Subtract:                              [tex]\displaystyle m=\frac{-1}{3}[/tex]

Estimate the value 118 to the nearest integer.​

Answers

Step-by-step explanation:

118 is already an integer

Help it’s due now! Please

Answers

Answer:

44

Step-by-step explanation:

Substitute the values for the variables.

5(8) + 12/3

40 + 4 = 44

The answer is wat she or he said ^^ your welcome.! :)
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