What is the difference between a rational and irrational number?

Answers

Answer 1

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.


Related Questions

Sylvia wants to rent a kayak. Company A charges $20 plus $6 per hour. Company B charges $8 plus $12 per
hour.
At how many hours will the price to rent a kayak from Company A and Company B be the same?
Be precise in your answer (label your answer).

Answers

Answer:

It will take 2 hours til they are the same.

Step-by-step explanation:

$20     $6     6+20=26  12+8=20

$12+$20=$32     $12+12+$8=$32

so 2 hours is your answer

True or False?
4/5 x 3 = 12/15

quick i leave school soon

Answers

it is true because 4*3=12 and 5*3=15

plz help third time putting this

Answers

LD= 8.9 ! hope this helps and i would rlly appreciate brainliest!!!

There are 60 cookies and 10 cupcakes leftover at a
bake sale. What is the ratio of cupcakes to
cookies? Your answer it must be in simplest form.

Answers

Answer:

1:6

Step-by-step explanation:

10cc:60C

5cc:30C

1cc:6C

1.) A florist sells bouquets for $12.25 each. Amiyah
has $61.25 to spend. How many bouquets can she
afford?

Use x to represent the number of bouquets that
Amiyah can afford.

Equation: Choose one.
a) x + 12.25 = 61.25
b) x - 12.25 = 61.25
c) 12.25x= 61.25
d) 61.25x = 12.25
Solve. Show work

Giving 20 points please helpppp

Answers

Answer is c
61.25 divided by 12.25 is 5
So she has enough for 5 bouquets

what is the value of the expression 0.5 (3x + 2/y) when x = 2 and y = 4

Answers

Answer:

3.25

Step-by-step explanation:

distribute .5 to 3 and 2

plug in x and y

3+1/4=3.25

The answer will be four 4 because you plug the numbers in for x and y

Answer for BRAINLIEST

Answers

Answer:

From top to bottom: 1/8, 2 1/2, 3

Step-by-step explanation:

The first number means that it take 8 quarters to equal a toonie and you don't have a toonie with 1 quater

brainliest please

1/8, 2 1/2, 3 is the answer

HELP ME PLEASE PLEASE HURRY MATH FOR A P EX

Answers

D
where they meet at is 2,6

Answer:

[tex]\huge\boxed{\sf (2,6)}[/tex]

Step-by-step explanation:

The solution to a graphed system of equation is the common point at which the two lines are intersecting.

So,

The common point to these two lines is:

(x,y) = (2,6)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

how would I solve this?

Answers

Answer:

by solving it.

Step-by-step explanation:

you welcome gang

Umm well you can use the graph to help you and try you best your welcome

The image of the point (2, 1) under a translation is (-3, -2). Find
the coordinates of the image of the point (-2, -9) under the same
translation.

Answers

Answer:

(-7, -12)

Explanation:

The translation of (2, 1) to (-3, -2) is 5 units left and 3 and 3 units down

2 - 5 = -3, x-coordinate = -3

1 - 3 = -2, y-coordinate = -2

Thus that makes the coordinates (-3, -2)

So that is taking away 5 from the x-axis and 3 away from the y-axis

-2 - 5 = -7, x-coordinate = -7

-9 - 3 = -12, y-coordinate = -12

Thus, the answer is (-7, -12)

What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?
A. 1
B. -3
C. -1
D. 1/3

Answers

Answer:

c

uehekeiekekekeiejejhe

A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-
values?
o As the x-values increase, the y-values tend to increase.
As the x-values increase, the y-values tend to decrease.
As the x-values decrease, the y-values tend to increase.
O As the x-values decrease, the y-values tend to vary randomly.

Answers

Answer:

Hence, option: A is the correct answer.

A. As the x-values increase, the y-values tend to increase.

Step-by-step explanation:

It is given that:

A scatterplot has a positive, linear correlation.

By positive we means that as the x-value increases the y-value also keeps on increasing and by linear relation we mean that it increases somewhat by a constant amount so that the we get a line of best fit.

Hence, the statement which  is true about the relationship between the x- and y-values is:

A. As the x-values increase, the y-values tend to increase.

Answer:

a: As the x-values increase, the y-values tend to increase.

Step-by-step explanation:

edg2021

0.6x = 1.2x + 6 A) −1 B) −10 C) 1 D) 10

Answers

Answer:

x = -10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

youst use desmos

help me pleaseeee ( measurement )

Answers

A is 90, B is 65, C is 49, and D is 4.

Answer: a. 90 b. 65 c. 49 d. 4

a. A scalene and right triangle.

b. An isosceles and acute.

c. An obtuse.

d. An isosceles and acute.

4 - 2y + (-8y) +6.7 =

Answers

ans 10.7 -10y

STEP BY STEP
4-2y-8y+6.7
group like terms
so 4+6.7-2y-8y
and: 10.7-10y

PLEASE PLEASE I NEED HELP

Answers

1. 26
2. 42
(Sorry if I’m off I’m going off of 2 hours of sleep lol)

Answer:

1. 20

2. 34

Step-by-step explanation:

During a sale each item in the store is 80% off it's regular price if the regular price of a t-shirt is $18 how much is the discount ?

Answers

Answer:

so u will pay 3.82 and u will save 15.26 dollars

Step-by-step explanation:

Answer:

14.40$

Step-by-step explanation:

what is the Riemann hypothesis

Answers

in mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part
1
/
2
. Many consider it to be the most important unsolved problem in pure mathematics (Bombieri 2000). It is of great interest in number theory because it implies results about the distribution of prime numbers. It was proposed by Bernhard Riemann (1859), after whom it is named.

Answer:

What is the Riemann hypothesis simply explained?

The Riemann hypothesis asks if every non-trivial root (white dot) would be on the line down the middle. If the answer is no, we say the "hypothesis is false". This would mean that there are white dots which are not on the line given.

Please vote 4 BRAINLIEST

Can someone help me with this :( .

Answers

Answer:

The answer is B.

Step-by-step explanation:

because the starting point is 3 and by the use of the slope triangle, you end with 4 for the slope.

please help asap! i’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

Answer:

its A) love bc 1/f multipled  by 1/3 = 2/9

Step-by-step explanation:

2 is what percent of 20?

Answers

Answer:

%10

Step-by-step explanation:

20/2=10

100/10=10

%10

..........................

Answers

Answer:

blue

Step-by-step explanation:

can anyone give me the answer?

Answers

the answer is c

i hope this helps you!!!!!!!!!!

The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

Answers

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

People of different ages were asked the question "Do you listen to audiobooks?" The frequency table displays the
percentage of "yes" responses for different age groups
13-17
8%
18-25
15%
26-35
23%
36-45
45%
46 and over
48%
Would it be appropriate to display the data with a pie chart?
O Yes, because the data are grouped into categories
O Yes, because the data can be displayed by a relative frequency compared with the whole
O No, because the data display the percentage of time spent by each age group, not a relative frequency compared
with the whole
O No, because the data categories are too broad
Save and Exit
Next
Submit
art this and rem

Answers

Answer:

The answer is B

Step-by-step explanation:

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate, hence the third option is correct.

Pie charts are used to indicate relative frequency of each group, when the whole combines to 100%.In this problem, the sum of the percentages is not 100%, hence, it does not indicate relative frequency, and the third option is correct.

You can learn more about pie charts at https://brainly.com/question/25796636

How many 1/8s are there in jacob's 6 aquriums

Answers

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

have an amazing day!!!

Write the fraction 9/54 in simplest form.​

Answers

Answer: 1/6

9 goes into 9 once

9 goes into 54 six times

The simplified form of the given fraction 9/54 is 1/6.

To simplify the fraction 9/54, we can find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.

The factors of 9 are 1, 3, and 9, while the factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The highest common factor of 9 and 54 is 9.

Dividing both the numerator and the denominator by 9, we get:

9 ÷ 9 = 1

54 ÷ 9 = 6

Therefore, the simplified form of the given fraction 9/54 is 1/6.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

options are a)80° b)100° c)40° d)90°
please help​

Answers

Answer:

100!!!

Step-by-step explanation:

Because a straight line in geometry is equal to 180 SO...

180-80=100

Hope that helps!!

Calculate and express your answer in decimal form (0.25)•60

Answers

Answer:

0.15

Step-by-step explanation:

Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24%, and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

15.4

Step-by-step explanation:

im too tired to explain -_-

Other Questions
What do you make when you dissolve sugar in water?A. A solubility B. A soluteC. A solutionD. A solvent Does this graph represent a function? You pay sales tax on your purchases at the rate of 0.07. What fraction of your money is this? Remember to reduce your fraction to its lowest terms.0.07 is equal to nothing PLEASE I GIVE BRAINLIEST IF HELPFULLCircle the write answer. (please answer like1. k2.getctera) 5x-15y=45 solve for y the ratio of pink starburst to yellow starbursts in kels bag 25% What precept of the whole bag contains pink Starburst number 10 and number 11 please!. Which of the following has infinitely many solutions?A)5x10=x+20B)2(6+x)=14+2xC)10x+5=3(5x+7)D)2(4+x)=8+2x Find an equation for each line. PLEASE HELP DUE SOONJolie purchased a concert ticket on a web site. The original price of the ticket was $110. She used a couponcode to receive a 15% discount. The web site applied a 10% service fee to the discounted price. Jolie's ticketwas less than the original price by what percent? 2Na + Cl2 2NaClHow many moles of Cl2 do you need to use in order to react with 34.485 g of Na? moles (put 1 zero in front of the decimal) How many significant figures are there in each of the following?(a) 85.8 + 0.9 use the distributive property to create an equivalent expression5(3x+4y-2) PLZ HELP I NEED THIS ASAP!! That factor of production that includes people with their abilities, skills and efforts best describes:O LaborO LandO EntrepreneursO CapitalASAP What is the simplified form of each rational expression? Specify the domain. 75 Points. (2x + 11x + 5) / (3x + 17x + 10) (x + 3x - 18) / (x - 36)(6x + 5xy - 6y) / (3x - 5xy + 2y) As a reader, it is important to recognize the author's purpose so you can appropriately. A. respond O B. write O C. read it D. speak Which number on the number line is exactly halfway between 9/10 and 11/12 What is the distance between the points (5, 1) and (-3, -5)? What is 9y + 3x + 4x + 6x